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Subtracting integers word problems

Here are four great examples about subtracting integers word problems.

Problem #1:

The record high temperature for Massachusetts is 104 degrees Fahrenheit. The record low is -18 degrees Fahrenheit. What is the difference between high and low? Solution The problem has 1 important component. It is the phrase " difference between high and low ." Difference between high and low is the same as subtracting the smaller number from the bigger number.

104 - -18 = 104 + 18 = 122

The difference between high and low is 122 degrees Fahrenheit.

More subtracting integers word problems 

Problem #2:

Sylvia checked the balance in her bank account early in the morning and saw that she had 98 dollars. In the afternoon, she noticed that there was an overdraft of 6 dollars in the account for unpaid bills. How much were the unpaid bills? Solution The problem has 1 important component. It is the word " Overdraft ." Overdraft occurs when the bank gives you money to cover amount you did not have at the time the bills were paid. In this case, what you did not have is 6 dollars. Since the bank gave it to you, you owe it to the bank. Therefore, you owe 6 dollars to the bank and this can be expressed as -6.

The amount of unpaid bills is the difference between what you had that morning (98) and what you have this afternoon (-6). 98 - -6 = 98 + 6 = 104 dollars

The amount of unpaid bills is 104 dollars

Problem #3:

You are 5 dollars in debt. You borrow 12 dollars more. What is the total amount of your debt? Solution The problem has 2 important components shown in bold below. You are 5 dollars in debt . You borrow 12 dollars more . What is the total amount of your debt? 5 dollars in debt can be represented by -5 Borrow 12 more can be represented by - 12 We get -5 - 12 = -5 + -12 = -17 The amount of your debt is 17 dollars.

Problem #4:

An airplane takes off and then climbs 2500 feet. After 20 minutes, the airplane descends 150 feet.  What is the airplane's current height? Solution The problem has 2 important components shown in bold below. An airplane takes off and then climbs 2500 feet . After 20 minutes, the airplane descends 150 feet .  What is the airplane's current height? Climbs 2500 feet can be represented with +2500 Descends 150 feet can be represented with - 150 We get +2500 - 150 = +2500 + -150 = 2350

The airplane is now at a height of 2350 feet.

Take a look also at the problem below

Adding integers word problems

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2.2: Subtracting Integers

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• Page ID 113671

• David Arnold
• College of the Redwoods

In Section 1.2, we stated that “Subtraction is the opposite of addition.” Thus, to subtract 4 from 7, we walked seven units to the right on the number line, but then walked 4 units in the opposite direction (to the left), as shown in Figure \(\PageIndex{1}\).

Thus, 7 − 4 = 3. The key phrase is “add the opposite.” Thus, the subtraction 7 − 4 becomes the addition 7 + (−4), which we would picture on the number line as shown in Figure \(\PageIndex{2}\).

Figure \(\PageIndex{1}\) and Figure \(\PageIndex{2}\) provide ample evidence that the subtraction 7−4 is identical to the addition 7+(−4). Again, subtraction means “add the opposite.” That is, 7 − 4=7+(−4).

Defining Subtraction

Subtraction means “add the opposite.” That is, if a and b are any integers, then

\[a − b = a + (−b).\nonumber \]

Thus, for example, −123−150 = −123+(−150) and −57−(−91) = −57+91. In each case, subtraction means “add the opposite.” In the first case, subtracting 150 is the same as adding −150. In the second case, subtracting−91 is the same as adding 91.

Find the differences: (a) 4 − 8, (b) −15 − 13, and (c) −117 − (−115).

In each case, subtraction means “add the opposite.”

a) Change the subtraction to addition with the phrase “subtraction means add the opposite.” That is, 4−8 = 4+(−8). We can now perform this addition on the number line.

Thus, 4 − 8=4+(−8) = −4.

b) First change the subtraction into addition by “adding the opposite.” That is, −15 − 13 = −15 + (−13). We can now use physical intuition to perform the addition. Start at the origin (zero), walk 15 units to the left, then an additional 13 units to the left, arriving at the answer −28. That is,

\[ \begin{aligned} −15 − 13 & = −15 + (−13) \\ ~ & = −28. \end{aligned}\nonumber \]

c) First change the subtraction into addition by “adding the opposite.” That is, −117 − (−115) = −117 + 115. Using “Adding Two Integers with Unlike Signs” from Section 2.2, first subtract the smaller magnitude from the larger magnitude; that is, 117 − 115 = 2. Because −117 has the larger magnitude and its sign is negative, prefix a negative sign to the difference in magnitudes. Thus,

\[ \begin{aligned} −117 − (−115) & = −117 + 115 \\ & = −2. \end{aligned}\nonumber \]

Use each of the techniques in parts (a), (b), and (c) of Example 1 to evaluate the difference −11 − (−9).

Order of Operations

We will now apply the “Rules Guiding Order of Operations” from Section 1.5 to a number of example exercises.

Simplify −5 − (−8) − 7.

We work from left to right, changing each subtraction by “adding the opposite.”

\[ \begin{aligned} -5-(-8) -7=-5+8+(-7) ~ & \textcolor{red}{ \text{ Add the opposite of } -8, \text{ which is 8.}} \\ ~ & \textcolor{red}{ \text{ Add the opposite of 7, which is } -7.} \\ =3 +(-7) & \textcolor{red}{ \text{ Working left to right, } -5+8=3.} \\ =-4 ~ & \textcolor{red}{3 +(-7) = -4.} \end{aligned}\nonumber \]

Simplify: −3 − (−9) − 11.

Grouping symbols say “do me first.”

Example \(\PageIndex{1}\)

Simplify −2 − (−2 − 4).

Parenthetical expressions must be evaluated first.

\[ \begin{aligned} -2(-2-4)=-2-(-2+(-4)) ~ & \textcolor{red}{ \text{ Simplify the parenthetical expression}} \\ ~ & \textcolor{red}{ \text{ first. Add the opposite of 4, which is } -4.} \\ = -2 -(-6) ~ & \textcolor{red}{ \text{ Inside the parentheses, } -2 + (-4) = -6.} \\ =-2 + 6 ~ & \textcolor{red}{ \text{ Subtracting a } -6 \text{ is the same as adding a 6.}} \\ =4 ~ & ~ \textcolor{red}{ \text{ Add: } -2 + 6 = 4.} \end{aligned}\nonumber \]

Simplify: −3 − (−3 − 3).

Change as a Difference

Suppose that when I leave my house in the early morning, the temperature outside is 40 ◦ Fahrenheit. Later in the day, the temperature measures 60◦ Fahrenheit. How do I measure the change in the temperature?

The Change in a Quantity

To measure the change in a quantity, always subtract the former measurement from the latter measurement. That is:

\[ \colorbox{cyan}{Change in a Quantity} = \colorbox{cyan}{Latter Measurement} - \colorbox{cyan}{Former Measurement}\nonumber \]

Thus, to measure the change in temperature, I perform a subtraction as follows:

\[ \begin{aligned} \colorbox{cyan}{Change in Temperature} & = \colorbox{cyan}{Latter Measurement} & - & \colorbox{cyan}{Former Measurement} \\ ~ & = 60^{ \circ} \text{F} & - & 40^{ \circ} \text{F} \\ ~ & = 20^{ \circ} \text{F} \end{aligned}\nonumber \]

Note that the positive answer is in accord with the fact that the temperature has increased.

Suppose that in the afternoon, the temperature measures 65 ◦ Fahrenheit, then late evening the temperature drops to 44 ◦ Fahrenheit. Find the change in temperature.

To measure the change in temperature, we must subtract the former measurement from the latter measurement.

\[ \begin{aligned} \colorbox{cyan}{Change in Temperature} & = \colorbox{cyan}{Latter Measurement} & - & \colorbox{cyan}{Former Measurement} \\ ~ & = 44^{ \circ} \text{F} & - & 65^{ \circ} \text{F} \\ ~ & = -11^{ \circ} \text{F} \end{aligned}\nonumber \]

Note that the negative answer is in accord with the fact that the temperature has decreased. There has been a “change” of −11 ◦ Fahrenheit.

Marianne awakes to a morning temperature of 54 ◦ Fahrenheit. A storm hits, dropping the temperature to 43 ◦ Fahrenheit. Find the change in temperature.

−11◦ Fahrenheit

Sometimes a bar graph is not the most appropriate visualization for your data. For example, consider the bar graph in Figure \(\PageIndex{3}\) depicting the Dow Industrial Average for seven consecutive days in March of 2009. Because the bars are of almost equal height, it is difficult to detect fluctuation or change in the Dow Industrial Average.

Let’s determine the change in the Dow Industrial average on a day-to-day basis. Remember to subtract the latter measurement minus the former (current day minus former day). This gives us the following changes.

We will use the data in the table to construct a line graph. On the horizontal axis, we place the pairs of consecutive days (see Figure \(\PageIndex{4}\)). On the vertical axis we place the Change in the Industrial Dow Average. At each pair of days we plot a point at a height equal to the change in Dow Industrial Average as calculated in our table.

Note that the data as displayed by Figure \(\PageIndex{4}\) more readily shows the changes in the Dow Industrial Average on a day-to-day basis. For example, it is now easy to pick the day that saw the greatest increase in the Dow (from Wednesday to Thursday, the Dow rose 200 points).

In Exercises 1-24, find the difference.

1. 16 − 20

2. 17 − 2

3. 10 − 12

4. 16 − 8

5. 14 − 11

6. 5 − 8

7. 7 − (−16)

8. 20 − (−10)

9. −4 − (−9)

10. −13 − (−3)

11. 8 − (−3)

12. 14 − (−20)

13. 2 − 11

14. 16 − 2

15. −8 − (−10)

16. −14 − (−2)

17. 13 − (−1)

18. 12 − (−13)

19. −4 − (−2)

20. −6 − (−8)

21. 7 − (−8)

22. 13 − (−14)

23. −3 − (−10)

24. −13 − (−9)

In Exercises 25-34, simplify the given expression.

25. 14 − 12 − 2

26. −19 − (−7) − 11

27. −20 − 11 − 18

28. 7 − (−13) − (−1)

29. 5 − (−10) − 20

30. −19 − 12 − (−8)

31. −14 − 12 − 19

32. −15 − 4 − (−6)

33. −11 − (−7) − (−6)

34. 5 − (−5) − (−14)

In Exercises 35-50, simplify the given expression.

35. −2 − (−6 − (−5))

36. 6 − (−14 − 9)

37. (−5 − (−8)) − (−3 − (−2))

38. (−6 − (−8)) − (−9 − 3)

39. (6 − (−9)) − (3 − (−6))

40. (−2 − (−3)) − (3 − (−6))

41. −1 − (10 − (−9))

42. 7 − (14 − (−8))

43. 3 − (−8 − 17)

44. 1 − (−1 − 4)

45. 13 − (16 − (−1))

46. −7 − (−3 − (−8))

47. (7 − (−8)) − (5 − (−2))

48. (6 − 5) − (7 − 3)

49. (6 − 4) − (−8 − 2)

50. (2 − (−6)) − (−9 − (−3))

51. The first recorded temperature is 42 ◦ F. Four hours later, the second temperature is 65 ◦ F. What is the change in temperature?

52. The first recorded temperature is 79 ◦ F. Four hours later, the second temperature is 46 ◦ F. What is the change in temperature?

53. The first recorded temperature is 30 ◦ F. Four hours later, the second temperature is 51 ◦ F. What is the change in temperature?

54. The first recorded temperature is 109 ◦ F. Four hours later, the second temperature is 58 ◦ F. What is the change in temperature?

55. Typical temperatures in Fairbanks, Alaska in January are −2 degrees Fahrenheit in the daytime and −19 degrees Fahrenheit at night. What is the change in temperature from day to night?

56. Typical summertime temperatures in Fairbanks, Alaska in July are 79 degrees Fahrenheit in the daytime and 53 degrees Fahrenheit at night. What is the change in temperature from day to night?

57. Communication. A submarine 1600 feet below sea level communicates with a pilot flying 22,500 feet in the air directly above the submarine. How far is the communique traveling?

58. Highest to Lowest. The highest spot on earth is on Mount Everest in Nepal-Tibet at 8,848 meters. The lowest point on the earth’s crust is the Mariana’s Trench in the North Pacific Ocean at 10,923 meters below sea level. What is the distance between the highest and the lowest points on earth? Wikipedia http://en.Wikipedia.org/wiki/Extremes_on_Earth

59. Lowest Elevation. The lowest point in North America is Death Valley, California at -282 feet. The lowest point on the entire earth’s landmass is on the shores of the Dead Sea along the Israel-Jordan border with an elevation of -1,371 feet. How much lower is the Dead Sea shore from Death Valley?

60. Exam Scores. Freida’s scores on her first seven mathematics exams are shown in the following bar chart. Calculate the differences between consecutive exams, then create a line graph of the differences on each pair of consecutive exams. Between which two pairs of consecutive exams did Freida show the most improvement?

1. −4

3. −2

9. 5 11. 11 13. −9 15. 2 17. 14 19. −2 21. 15 23. 7 25. 0 27. −49 29. −5 31. −45 33. 2 35. −1 37. 4 39. 6 41. −20 43. 28 45. −4 47. 8 49. 12 51. 23◦ F 53. 21◦ F 55. −17 degrees Fahrenheit 57. 24,100 feet 59. 1,089 feet lower

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How to Add and Subtract Integers: Word Problems

Mastering the art of tackling word problems involving the addition and subtraction of integers is a vital skill in the mathematical universe. Integers, which include positive, negative, and zero, are more nuanced than their natural number counterparts. To craft a highly detailed, comprehensive, and sophisticated guide, let's dive into the labyrinth of integers, unraveling the mystery of word problems step-by-step.

A Step-by-step Guide to Solve Integers Addition and Subtraction: Word Problems

Here is a step-by-step guide to solving word problems of integers addition and subtraction:

Step 1: Decipher the Problem

The journey begins with an intensive reading of the word problem. Identify the integers involved, noting their signs (\(+\) or \(-\)), and the operations stated or implied (addition or subtraction). Understand the context and constraints of the problem to guide your strategy.

Step 2: Pinpoint the Unknowns

Next, determine what the problem demands you to find. This could be an unknown quantity or a relationship between different quantities. Assign variables to these unknowns, typically ‘\(x\)’, ‘\(y\)’, or ‘\(z\)’.

Step 3: Translate into Mathematical Language

Now, morph the word problem into an equivalent mathematical expression or equation. Expressions such as “increased by” or “more than” often signify addition, while “decreased by” or “less than” hint towards subtraction. This translation serves as a bridge between the narrative of the problem and the mathematical steps to solve it.

Step 4: Construct the Equation(s)

Based on your translation, construct an equation or a system of equations that encapsulate the conditions outlined in the problem. Be vigilant of the signs of the integers; a positive integer added to a negative integer can be treated as subtraction and vice versa.

Step 5: Resolve the Equation(s)

Once your equation(s) are set, deploy your arithmetic and algebraic skills to solve them. Remember the basic rules of integer arithmetic, such as the fact that subtracting a negative integer is equivalent to adding a positive one.

Step 6: Validate Your Solution

Substitute your solution back into the original equation(s) to verify its correctness. If it stands the test, your solution is accurate. If it fails, reexamine your steps to identify potential missteps or miscalculations.

Step 7: Answer the Query

The final act is responding to the original question asked in the problem. Ensure your answer aligns with the question and is phrased appropriately, incorporating units if necessary.

by: Effortless Math Team about 9 months ago (category: Articles )

Effortless Math Team

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Subtracting Integers – Definition, Rules, Steps, Examples, Facts

What is meant by subtracting integers in math, rules for subtracting integers, properties of subtraction of integers, solved examples on subtracting integers, practice problems on subtracting integers, frequently asked questions on subtracting integers.

Subtracting integers is the method of finding the difference between two integers. These two integers may have the same sign or different signs. The set of integers is represented by

Z={…,-3,-2,-1,0,1,2,3,…} .

If we subtract the integer b from the integer a, we write it as a – b. 

Example: Subtract 7 from 9.

9 – 7 = 2

We can also write every subtraction problem as an addition problem. Replace the – sign by + sign, and replace the second integer by its additive inverse . This can be written symbolically as 

a – b = a + (-b)

Finally, you can find the answer using the rules for adding integers.

Additive inverse of an integer is written by simply removing its sign, keeping only the numerical value.

Examples: 

Additive inverse of 7 is -7.

Additive inverse of -9 is 9.

Subtracting Integers: Definition

Subtracting integers is the method of finding the difference between two integers having the same or different signs. 

Subtraction of integers can be written as the addition of the first number and the additive inverse of the second number. 

Related Worksheets

Subtrahend and Minuend

When we subtract one number from another, the number being subtracted is called subtrahend , the first number is called minuend .

Rules for Adding Integers

Any addition fact can be written as a subtraction fact. Also, any subtraction fact can be written as an addition fact. So, the rules for adding integers and the rules for subtracting integers correspond to each other. 

Table of Rules for Subtracting Integers

How to subtract integers.

The most simple rule to remember when subtracting integers is to convert the problem as the addition problem and use the rules for adding integers. 

• Subtracting Integers with the Same Sign: Let’s understand how to subtract integers with the same signs.

i) Positive integer – Positive integer

Here, the order of the numbers is important to decide the sign of the answer. 

The answer of the result will be  positive when subtracting a smaller number from a larger number.

30 – 13 = 17

The answer of the result will be negative when subtracting a larger number from a smaller  number.

4 – 7 = -3

ii) Negative integer – Negative integer

Change the problem to an addition problem and follow the rules for addition of integers.

(-5)-(-1) = (-5)+1 =-4

(-2) – (-5) = -2 + 5 = 3

• Subtracting Integers with Different Signs: Now, let’s understand how to subtract integers with different signs with examples.

i) Positive Integer – Negative integer

It is clear that we are subtracting a smaller value from a larger value. So, the answer will always be positive in this case. 

5-(-1) = 5 + 1 = 6

2 – (-5) = 2 + 5 = 3

ii) Negative Integer – Positive Integer

It is clear that we are subtracting a larger value from a smaller value. So, the answer will always be negative in this case. 

(-1)-5 = (-1) + (-5) = -6

(-2) – (5) = (-2) + (-5) = -7

There are some properties related to the subtraction of integers. They are as follows: 

• Closure property: The subtraction of any two integers is an integer. For any two integers a and b, the difference a -b is also an integer.
• Commutative property: Subtraction of integers is not commutative. For any two integers a and b, we have a – b b – a. 

2 – 4 4 – 2  and -6 – (-3 ) -3 – (- 6)

• Associative property: The subtraction of integers is not associative. That is, for any three integers a, b and c, we have, a -(b – c) (a – b) – c

For example, 2 – ( 5 – 3) = 2 – 2 = 0

                    (2 – 5) – 3 = – 3 – 3 = – 6 , 

• Identity property: We have  a – 0 = a , for any integer a indicating that 0 is correct identity for subtraction.vIt’s important to note that 0 – a a is not the left identity

Subtracting Integers on a Number Line

• Every subtraction fact can be written as an addition fact.
• Adding a positive integer is done by moving towards the right side (or the positive side) of the number line .
• Adding a negative integer is done by moving towards the left side (or the negative side) of the number line.
• Any one of the given integers can be taken as the base point from where we start moving on the number line.

Example: Subtract 4 from 2.

We have to find 2 – 4. 

Express 2 – 4 as the addition fact.

 2 – 4 = 2 + (-4).

Locate integer with greater absolute value, 2.

Start from 2, take 4 jumps to the left side as we are subtracting 4 to 2.

Therefore, -2 is the required answer.

Facts about Subtracting Integers

• Integers are the negative numbers, zero, and positive numbers.
• Subtracting integers is the method of finding the difference between two integers with the same or different signs.
• To subtract two integers, add the opposite of the second integer to the first integer. This can be written symbolically as a 
• – b = a + (- b)
• Adding a negative number is just like subtracting a positive number. 3 + (- 4) = 3 -(+4)
• Subtracting a negative number is just like adding a positive number.
• 3 -(- 4) = 3 + 4

In this article, we learnt about subtraction of integers definition, rules, properties,steps and how to subtract integers on a number line. Let’s solve some examples and practice problems to understand the concept better.

Example 1: Subtract: – 46 from – 80.

Solution:  

We have to subtract two negative integers.

Here, we have to find (-80) – (-46). 

(-80) – (-46)

Example 2: Subtract: – 8 from 7.

Solution: 

Here, we have to subtract two integers with different signs. 

Let’s write it in the form of an expression, 

7 – (- 8 )

Thus, 7 – (- 8 ) = 15

Example 3: Find 1 – ( – 5 ) using a number line.

1 – (- 5 ) = 1 + 5

Start from 1 and take 5 jumps to the right.

Thus, 1 – (- 5 ) = 6

Subtracting Integers - Definition, Rules, Steps, Examples, Facts

Attend this quiz & Test your knowledge.

Subtraction of integers can be written as the ________ of the opposite number.

$1000 - (- 1)=$, when subtracting a positive integer from a negative integer, the answer will have, which subtraction fact does the given number line represent.

What are integers?

Integers include positive integers, negative integers, and zero. It is a number with no decimal or fraction part.

Set of integers = {…,−5,−4,−3,−2,−1, 0, 1, 2, 3, 4, 5,…}

What is a minuend and a subtrahend?

In a subtraction equation, minuend is the number from which another number would be subtracted. A subtrahend is the term that denotes the number being subtracted from another.

Does commutative property hold true for subtraction?

The commutative property does not hold for subtraction. It means for any  two integers a and b, a – b ≠ b – a. For example, 2 – 4 ≠ 4 – 2

2 – 4 = – 2 and 4 – 2 = 2 and  -2 ≠ 2 

Thus, commutative property does not hold true for subtraction.

Does Associative property hold true for subtraction?

The associative property does not hold for subtraction. It means for any three integers a, b, and c, a -(b – c) ≠ (a – b) – c

                     (2 – 5) – 3 = – 3 – 3 = – 6 , 

Thus, associative property does not hold true for subtraction.

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A and S Integers

Adding and subtracting integers

Here you will learn strategies on how to add and subtract integers, including using visual models as well as the number line.

Students will first learn about integers in 6th grade math as part of their work with the number system and expand that knowledge to operations with integers in the 7th grade.

What are adding and subtracting integers?

Adding and subtracting integers is when you add or subtract two or more positive or negative numbers together.

You can add and subtract integers using visual models or a number line.

Adding Integers \hspace{2cm}

Subtracting Integers \hspace{2cm}

[FREE] Addition and Subtraction Worksheet (Grade 2 to 7)

Use this quiz to check your grade 2, 3, 4 and 7 students’ understanding of addition and subtraction. 15+ questions with answers covering a range of 2nd, 3rd, 4th and 7th grade addition and subtraction topics to identify areas of strength and support!

Common Core State Standards

How does this apply to 6th grade math and 7th grade math?

• Grade 6: Number System (6.NS.C.6) Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
• Grade 7: Number System (7.NS.A.1) Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

How to add and subtract integers?

In order to add and subtract integers using counters:

• Represent the problem with counters identifying zero pairs with addition or adding zero pairs when necessary for subtraction.

The answer is the leftover counters.

In order to add and subtract integers using a number line:

To add, start at the first number and move to the second number; to subtract, start from the second number and move to the first number.

Write your answer.

Adding and subtracting integers examples

Example 1: adding integers with different signs using counters.

Add: -2 + 7 = \, ?

Represent the problem with counters, identifying zero pairs with addition or adding zero pairs when necessary for subtraction.

There are two zero pairs with 5 positive counters left.

2 The answer is the leftover counters.

Answer: -2 + 7 = 5

Example 2: subtracting integers with counters

Subtract: -4-(-5) = \, ?

-4 remove -5. Add 1 zero pair in order to remove -5.

-4-(-5) = 1

Example 3: adding integers with a number line

Add: -8 + (-5) = \, ?

-8 + (-5) is addition. Start at -8 and move in the negative direction (left) 5 places. You land at -13.

-8 + (-5) = -13

Example 4: subtracting integers with a number line

Solve: 7-(+9) = \, ?

From positive 9 move in the negative direction until you get to 7. You move 2 places to the left, which is -2.

7-(+9) = -2

Teaching tips for adding and subtracting integers

• Adding and subtracting integers is a foundational skill for Algebra 1. Using counters and/or a number line helps students formulate conceptual understanding of the concept.
• Using actual hand-held counters help students to manipulate the zero pairs instead of using digital counters.
• Have students try and identify the patterns with adding and subtracting integers so that they can figure out the rules on their own.
• Although practice integer worksheets have their place, have students practice problems through digital games or scavenger hunts around the room to make it engaging.

Easy mistakes to make

Related addition and subtraction lessons

This adding and subtracting integers topic guide is part of our series on adding and subtracting. You may find it helpful to start with the main adding and subtracting topic guide for a summary of what to expect or use the step-by-step guides below for further detail on individual topics. Other topic guides in this series include:

• Addition and subtraction
• Add and subtract with the algorithm
• Add and subtract within 1,000
• Adding and subtracting rational numbers
• Add and subtract within 100

Practice adding and subtracting integers

1. Look at the model below to add -7 + 6.

There are 6 zero pairs with one negative counter leftover.

-7 + 6 = -1

2. Subtract: -15-(9) = \, ?

Using the rule, change the sign of the second number, +9 becomes -9.

Then add the two numbers together.

-15 + (-9) = -24

From 9 move left 24 units, you get to -15.

So, -15-(9) = -24

3. Add: 8 + (-19) = \, ?

Using the rule, since the signs of the numbers are different, the difference between 8 and 19 is 11.

19 is the larger number, and it is negative, so the sum will be negative.

8 + (-19) = -11

You can also check your answer using a number line.

Start at 8 and move 19 places in the negative direction. You land at -11.

4. Subtract: -14-(-8) = \, ?

Using the rule for subtracting integers, change the sign of the second number.

-8 will become +8.

Then add the number to the first one, -14 + 8 = -6

You can also use a number line to check your answer.

From -8 move left 6 places until you get to -14.

So, -14-(-8) = -6

5. Add: -13 + (-12) = \, ?

Using the rule, the signs of the numbers are both negative, so add the numbers.

The sum is negative too.

-12 + (-13) = -25

6. On a February day in Chicago, the morning temperature was -3 degrees Fahrenheit. Later that day, the temperature increased by 4 degrees. What is the new temperature in degrees?

-3 increased by 4 degrees is -3 + 4.

The signs of the numbers are different.

The difference between 3 and 4 is 1.

4 is the larger number, so the sum is positive.

Adding and subtracting integers FAQs

Yes, using the number line when adding and subtracting integers will always work. However, it might not always be the fastest way to get the answer.

A zero pair is a number and its opposite. For example, 5 and -5 are a zero pair. The opposite of positive integers is negative integers.

The sum of zero pairs is an additive inverse because the sum is 0.

Addition of integers and subtraction of integers help when simplifying algebraic expressions and also when factoring algebraic expressions.

The positive sign does not necessarily need to be written in front of a number. For example, +5 is the same as 5. The positive sign is understood.

The next lessons are

• Multiplication and division
• Multiplying and dividing integers
• Types of numbers
• Rounding numbers
• Solving one step equations
• Order of operations

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• Subtracting Integers

There is only one rule that you have to remember when subtracting integers! Basically, you are going to change the subtraction problem to an addition problem.

Number 1 Rule for Subtracting Integers

When SUBTRACTING integers remember to ADD the OPPOSITE.

TIP: For subtracting integers only, remember the phrase: "Keep - change - change"

What does that phrase mean?

Keep - Change - Change is a phrase that will help you "add the opposite" by changing the subtraction problem to an addition problem.

• Keep the first number exactly the same.
• Change the subtraction sign to an addition sign.
• Change the sign of the last number to the opposite sign. If the number was positive change it to negative OR if it was negative, change it to positive.

Let's take a look at a few examples to help you better understand this process.

Example 1 - Subtracting Integers Using Keep-Change-Change

Here's an example for the problem: 12 - (-6) = ?

Keep 12 exactly the same. Change the subtraction sign to an addition sign. Change the -6 to a positive 6. Then add and you have your answer!

Notice how we rewrote this subtracting problem as an addition problem, and then utilized our addition rules!

If you rewrite every subtraction problem as an addition problem, then you will only have to remember one set of rules.

Let's take a look at another example using the keep-change-change rule.

Example 2 - Subtracting Integers by Rewriting as Addition

As you can see, if you rewrite you subtracting problems as addition problems, you will be able to easily find the difference using your addition rules.

Using the Keep-Change-Change rule is a great way to remember how to rewrite the subtraction problem as an addition problem.

If you are continuing your study of integer rules, be sure to check out the multiplication and division rules for integers.

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• Math Article
• Addition Subtraction Integers

Addition And Subtraction Of Integers

In addition and subtraction of integers, we will learn how to add and subtract integers with the same sign and different signs. We can also make use of the num ber line to add and subtract signed integers. There are certain rules for integers that have to be followed to perform operations on them.

Adding two positive integers results in positive integers, whereas adding two negative integers will result in the sum with a negative sign. But, the addition of two different signed integers will result in subtraction only and the sign of the result will be the same as the larger number has. See a few examples below:

• 2 + (-2) = 0
• -2 + (-2) = -4
• -2 – (-2) = 0

Addition and subtraction

Addition and subtraction are two primary arithmetic operations in Maths. Besides these two operations, multiplication and division are also two primary operations that we learn in basic Maths. 

The addition represents the values added to the existing value. For example, a basket has two balls, and if we add more than 2 balls to it, there will be four balls in total. Similarly, if there are four balls in a basket and if we take out two balls out of it, then the basket is left with only two balls, which shows subtraction.

Addition and subtraction are not only used for integers but also rational numbers and irrational numbers. Therefore, both the operations are applicable for all real numbers and complex numbers. Also, the addition and subtraction algebraic expressions are done based on the same rules while performing algebraic operations.  

Learn more about addition and subtraction here.

Also, read:

Rules to Add and Subtract

Integers are a special group of numbers that are positive, negative and zero, which are not fractions. Rules for addition and subtraction are the same for all.

Negative Sign and Positive Sign

The integers which we add or subtract could be positive or negative.  Hence, it is necessary to know the rules for positive and negative symbols.

Positive sign/symbol: (+)

Negative sign/symbol: (-)

Addition of Integers

The three main possibilities in the addition of integers are:

• Addition between two positive numbers
• Addition between two negative numbers
• Addition between a positive number and a negative number

Whenever a positive number and a negative number are added, the sign of the greater number will decide the operation and sign of the result. In the above example 10 + (-15) = -5 and (-10) + 15 =5; here, without sign 15 is greater than 10 hence, numbers will be subtracted and the answer will give the sign of the greater number.

We know that the multiplication of a negative sign and a positive sign will result in a negative sign, therefore if we write 10 + (-5), it means the ‘+’ sign here is multiplied by ‘-’ inside the bracket. Therefore, the result becomes 10 – 5 = 5.

Alternatively, to find the sum of a positive and a negative integer, take the absolute value (“ absolute value ” means to remove any negative sign of a number, and make the number positive) of each integer and then subtract these values. Take the above example, 10 + (-15); absolute value of 10 is 10 and -15 is 15.

⇒ 10 – 15 = -5

Thus, we can conclude the above table as follow:

Note: The sum of an integer and its opposite is always zero. (For example, -5 + 5= 0)

Subtraction of Integers

Like in addition, the subtraction of integers also has three possibilities. They are:

• Subtraction between two positive numbers
• Subtraction between two negative numbers
• Subtraction between a positive number and a negative number

For ease of calculation, we need to renovate subtraction problems the addition problems. There are two steps to perform this and are given below.

• Convert the subtraction sign into an addition sign.
• After converting the sign, take the inverse of the number which comes after the sign.

Once the transformation is done, follow the rules of addition given above.

For example, finding the value of (-5) – (7)

Step 1: Change the subtraction sign into an addition sign

⇒ (-5) + (7)

Step 2: Take the inverse of the number which comes after the sign

⇒ – 5 + (-7)                                  (opposite of 7 is -7)

⇒ – 5 + (-7) = -12      [Add and put the sign of greater number]

Properties Of Addition Of Integers

The addition properties for whole numbers are valid for integers.

Closure Property:  The sum of any 2 integers results in an integer.

For instance, 12 + 3 = 15 and 15 is an integer.

In the same way, 17 + (- 20) = – 3 and -3 is an integer.

Commutative property: Even if the order of addition is changed, the total of any 2 integers is the same.

For instance, – 19 + 15 = 15 + (- 19) = – 4

Associative property: The grouping of the integers does not matter when the total of 3 or more integers is computed.

For example, – 13 + (- 15 + 16) = (- 13 + (- 15)) + 16 = – 12

Additive identity: When the sum of zero with any integer is taken, the resultant answer is an integer. The additive identity is the integer zero.

For instance, 0 + 15 = 15

Additive inverse: For each integer, when an integer is added to that integer results in 0. The two converse integers are termed additive inverse of one another.

For instance, 9 + (- 9) = 0.

Properties Of Subtraction Of Integers

Closure property: The difference between any two given integers results in an integer.

For instance, 13 – 17 = – 4 and – 4 is an integer. In the same way, – 5 – 8 = – 13 and – 13 is an integer.

Commutative property: The difference between any two given integers changes when the order is reversed.

For example, 6 – 3 = 3 but 3 – 6 = – 3.

So, 6 – 3 ≠ 3 – 6

Associative property: In the method of subtraction, there is a change in the result if the grouping of 3 or more integers changes.

For example, (80 – 30) – 60 = – 10 however [80 – (30 – 60)] = 110.

So, (80 – 30) – 60 ≠ [80 – (30 – 60)].

Multiplication of Integers

In addition and subtraction, the sign of the resulting integer depends on the sign of the largest value. For example, -7+4 = -3 but in the case of multiplication of integers, two signs are multiplied together. 

• When two positive integers are multiplied then the result is positive.
• When two negative integers are multiplied then also the result is positive.
• But when one positive and one negative integer is multiplied, then the result is negative.
• When there is no symbol, then the integer is positive.

Solved Examples

Example 1: Evaluate the following:

• (-1) – ( -2)
• (-5 )+ 9 = 4  [Subtract and put the sign of greater number]

(-1) – ( -2) = 1

Example 2: Add -10 and -19.

Solution: -10 and -19 are both negative numbers. So if we add them, we get the sum in negative, such as;

(-10)+(-19) = -10-19 = -29

Example 3: Subtract -19 from -10.

Solution: (-10) – (-19)

Here, the two minus symbols will become plus. So,

-10 + 19 = 19 -10 = 9

Example 4: Evaluate 9 – 10 +(-5) + 6

Solution: First open the brackets.

9 – 10 -5 + 6

Add the positive and negative integers separately.

= 9 + 6 – 10 -5

= 15 – 15

Integers Addition and Subtraction Worksheet

Practice problems.

• Add -5 and -10.
• Subtract 20 from 10.
• Find the sum of 12 and 13.
• Find the difference between 40 and 30.

Frequently Asked Questions – FAQs

What is the rule to add integers, what is the rule for the subtraction of integers, are the rules of addition and subtraction the same as rules for the multiplication of integers, give examples of the addition of integers., when two negative integers are added together, then what is the sign of resulted value.

Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!

Select the correct answer and click on the “Finish” button Check your score and answers at the end of the quiz

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Integers: Addition and Subtraction Worksheets

This assortment of adding and subtracting integers worksheets have a vast collection of printable handouts to reinforce performing the operations of addition and subtraction on integers among 6th grade, 7th grade, and 8th grade students. This web page includes integer addition chart, addition squares, in-and-out boxes, word problems, subtraction of integers, reading thermometer and more. Thumb through some of these worksheets for free!

Adding Integers

Integer Addition

Find the sum of the integers in this stock of pdf worksheets. Use the correct sign while adding a positive integer with a negative integer.

• Download the set

Integer Addition Chart

Display charts can be used in classrooms to teach addition of integers. Review integer addition by using these charts.

Integer Addition Table

Integer addition is no longer a tough nut to crack with this table. Locate the integer addends -5 to +5 arranged vertically and horizontally, connect them, and fill in the boxes with their sums. Start mastering addition today!

Addition Squares

Find the sum by adding the integers in the 1st row with the integers in the 1st column and fill them in the squares provided.

Adding 3 or 4 Integers

Use these printable integer worksheets to practice addition of 3 or 4 integers. Each worksheet has ten problems.

Subtracting Integers

Subtracting Integers: Level 1

Why is (-4) – 4 not 0, instead -8? How are the integers added despite the subtraction sign in between? Hammer home such interesting facts and solve subtraction problems with integers in the range -20 to 20.

Subtracting Integers: Level 2

Levitate your integer subtraction skills by performing the appropriate operation on integers between -100 and 100, and obtaining the difference.

Adding and Subtracting Integers

Addition and Subtraction of Integers

Add or subtract the integers to find the sum or difference in the following worksheets.

Missing Integers: Type 1

Find the missing integer in each equation where the sum or difference is always equal to zero.

Missing Integers: Type 2

Find the missing integer in the following addition and subtraction equations. Integers ranging from -20 to +20 are given in these pdf worksheets.

Addition and Subtraction: Thermometer

Help students of grade 6 and grade 7 relate the adding and subtracting of integers with the temperature on a thermometer that either rises or drops by few degrees. Find the new reading in each thermometer.

Real-life scenario: Add/Subtract

These worksheets consist of word problems based on real time applications like temperature, radar speed signs and account transactions.

Simplify the expressions involving addition and subtraction of integers. There are ten problems in each worksheet.

In-and-Out Boxes: Add and Subtract

Follow the rule in each table and fill in the in-and-out boxes. Each rule is based either on addition or subtraction of integers.

Evaluate: Add and Subtract

In these pdf worksheets for grade 7 and grade 8, substitute the values of the unknown variables in the given expressions and evaluate them. Use the addition and subtraction operation.

Related Worksheets

» Multiplying and Dividing Integers

» Comparing and Ordering Integers

» Integers on a Number Line

» Addition and Subtraction

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Integer Word Problems Worksheets

An integer is defined as a number that can be written without a fractional component. For example, 11, 8, 0, and −1908 are integers whereas √5, Π are not integers. The set of integers consists of zero, the positive natural numbers, and their additive inverses. Integers are closed under the operations of addition and multiplication . Integer word problems worksheets provide a variety of word problems associated with the use and properties of integers. 

Benefits of Integers Word Problems Worksheets

We use integers in our day-to-day life like measuring temperature, sea level, and speed limit. Translating verbal descriptions into expressions is an essential initial step in solving word problems. Deposits are normally represented by a positive sign and withdrawals are denoted by a negative sign. Negative numbers are used in weather forecasting to show the temperature of a region. Solving these integers word problems will help us relate the concept with practical applications.

Download Integers Word Problems Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

☛ Check Grade wise Integers Word Problems Worksheets

• 6th Grade Integers Worksheets
• Integers Worksheets for Grade 7
• 8th Grade Integers Worksheets

Integers Worksheets

Welcome to the integers worksheets page at Math-Drills.com where you may have a negative experience, but in the world of integers, that's a good thing! This page includes Integers worksheets for comparing and ordering integers, adding, subtracting, multiplying and dividing integers and order of operations with integers.

If you've ever spent time in Canada in January, you've most likely experienced a negative integer first hand. Banks like you to keep negative balances in your accounts, so they can charge you loads of interest. Deep sea divers spend all sorts of time in negative integer territory. There are many reasons why a knowledge of integers is helpful even if you are not going to pursue an accounting or deep sea diving career. One hugely important reason is that there are many high school mathematics topics that will rely on a strong knowledge of integers and the rules associated with them.

We've included a few hundred integers worksheets on this page to help support your students in their pursuit of knowledge. You may also want to get one of those giant integer number lines to post if you are a teacher, or print off a few of our integer number lines. You can also project them on your whiteboard or make an overhead transparency. For homeschoolers or those with only one or a few students, the paper versions should do. The other thing that we highly recommend are integer chips a.k.a. two-color counters. Read more about them below.

Most Popular Integers Worksheets this Week

Integer Resources

Coordinate graph paper can be very useful when studying integers. Coordinate geometry is a practical application of integers and can give students practice with using integers while learning another related skill. Coordinate graph paper can be found on the Graph Paper page:

Coordinate Graph Paper

Integer number lines can be used for various math activities including operations with integers, counting, comparing, ordering, etc.

• Integer Number Lines Integers Number Lines from -10 to 10 Integers Number Lines from -15 to 15 Integers Number Lines from -20 to 20 Integers Number Lines from -25 to 25 OLD Integer Number Lines

Comparing and Ordering Integers

For students who are just starting with integers, it is very helpful if they can use an integer number line to compare integers and to see how the placement of integers works. They should quickly realize that negative numbers are counter-intuitive because they are probably quite used to larger absolute values meaning larger numbers. The reverse is the case, of course, with negative numbers. Students should be able to recognize easily that a positive number is always greater than a negative number and that between two negative integers, the one with the lesser absolute value is actually the greater number. Have students practice with these integers worksheets and follow up with the close proximity comparing integers worksheets.

• Comparing Integers Worksheets Comparing Positive and Negative Integers (-9 to +9) Comparing Positive and Negative Integers (-15 to +15) Comparing Positive and Negative Integers (-25 to +25) Comparing Positive and Negative Integers (-50 to +50) Comparing Positive and Negative Integers (-99 to +99) Comparing Negative Integers (-15 to -1)

By close proximity, we mean that the integers being compared differ very little in value. Depending on the range, we have allowed various differences between the two integers being compared. In the first set where the range is -9 to 9, the difference between the two numbers is always 1. With the largest range, a difference of up to 5 is allowed. These worksheets will help students further hone their ability to visualize and conceptualize the idea of negative numbers and will serve as a foundation for all the other worksheets on this page.

• Comparing Integers in Close Proximity Comparing Positive and Negative Integers (-9 to +9) in Close Proximity Comparing Positive and Negative Integers (-15 to +15) in Close Proximity Comparing Positive and Negative Integers (-25 to +25) in Close Proximity Comparing Positive and Negative Integers (-50 to +50) in Close Proximity Comparing Positive and Negative Integers (-99 to +99) in Close Proximity
• Ordering Integers Worksheets Ordering Integers on a Number Line Ordering Integers (range -9 to 9) Ordering Integers (range -20 to 20) Ordering Integers (range -50 to 50) Ordering Integers (range -99 to 99) Ordering Integers (range -999 to 999) Ordering Negative Integers (range -9 to -1) Ordering Negative Integers (range -99 to -10) Ordering Negative Integers (range -999 to -100)

Adding and Subtracting Integers

Two-color counters are fantastic manipulatives for teaching and learning about integer addition. Two-color counters are usually plastic chips that come with yellow on one side and red on the other side. They might be available in other colors, so you'll have to substitute your own colors in the following description.

Adding with two-color counters is actually quite easy. You model the first number with a pile of chips flipped to the correct side and you also model the second number with a pile of chips flipped to the correct side; then you mash them all together, take out the zeros (if any) and behold, you have your answer! Need further elaboration? Read on!

The correct side means using red to model negative numbers and yellow to model positive numbers. You would model —5 with five red chips and 7 with seven yellow chips. Mashing them together should be straight forward although, you'll want to caution your students to be less exuberant than usual, so none of the chips get flipped. Taking out the zeros means removing as many pairs of yellow and red chips as you can. You can do this because —1 and 1 when added together equals zero (this is called the zero principle). If you remove the zeros, you don't affect the answer. The benefit of removing the zeros, however, is that you always end up with only one color and as a consequence, the answer to the integer question. If you have no chips left at the end, the answer is zero!

• Adding Integers Worksheets with 75 Questions Per Page (Some Parentheses) Adding Integers from -9 to 9 (75 Questions) ✎ Adding Integers from -12 to 12 (75 Questions) ✎ Adding Integers from -15 to 15 (75 Questions) ✎ Adding Integers from -20 to 20 (75 Questions) ✎ Adding Integers from -25 to 25 (75 Questions) ✎ Adding Integers from -50 to 50 (75 Questions) ✎ Adding Integers from -99 to 99 (75 Questions) ✎
• Adding Integers Worksheets with 75 Questions Per Page (All Parentheses) Adding Integers from (-9) to (+9) All Parentheses (75 Questions) ✎ Adding Integers from (-12) to (+12) All Parentheses (75 Questions) ✎ Adding Integers from (-15) to (+15) All Parentheses (75 Questions) ✎ Adding Integers from (-20) to (+20) All Parentheses (75 Questions) ✎ Adding Integers from (-25) to (+25) All Parentheses (75 Questions) ✎ Adding Integers from (-50) to (+50) All Parentheses (75 Questions) ✎ Adding Integers from (-99) to (+99) All Parentheses (75 Questions) ✎
• Adding Integers Worksheets with 75 Questions Per Page (No Parentheses) Adding Integers from -9 to 9 No Parentheses (75 Questions) ✎ Adding Integers from -12 to 12 No Parentheses (75 Questions) ✎ Adding Integers from -15 to 15 No Parentheses (75 Questions) ✎ Adding Integers from -20 to 20 No Parentheses (75 Questions) ✎ Adding Integers from -25 to 25 No Parentheses (75 Questions) ✎ Adding Integers from -50 to 50 No Parentheses (75 Questions) ✎ Adding Integers from -99 to 99 No Parentheses (75 Questions) ✎
• Adding Integers Worksheets with 50 Questions Per Page (Some Parentheses) Adding Integers from -9 to 9 (50 Questions) ✎ Adding Integers from -12 to 12 (50 Questions) ✎ Adding Integers from -15 to 15 (50 Questions) ✎ Adding Integers from -20 to 20 (50 Questions) ✎ Adding Integers from -25 to 25 (50 Questions) ✎ Adding Integers from -50 to 50 (50 Questions) ✎ Adding Integers from -99 to 99 (50 Questions) ✎
• Adding Integers Worksheets with 50 Questions Per Page (All Parentheses) Adding Integers from (-9) to (+9) All Parentheses (50 Questions) ✎ Adding Integers from (-12) to (+12) All Parentheses (50 Questions) ✎ Adding Integers from (-15) to (+15) All Parentheses (50 Questions) ✎ Adding Integers from (-20) to (+20) All Parentheses (50 Questions) ✎ Adding Integers from (-25) to (+25) All Parentheses (50 Questions) ✎ Adding Integers from (-50) to (+50) All Parentheses (50 Questions) ✎ Adding Integers from (-99) to (+99) All Parentheses (50 Questions) ✎
• Adding Integers Worksheets with 50 Questions Per Page (No Parentheses) Adding Integers from -9 to 9 No Parentheses (50 Questions) ✎ Adding Integers from -12 to 12 No Parentheses (50 Questions) ✎ Adding Integers from -15 to 15 No Parentheses (50 Questions) ✎ Adding Integers from -20 to 20 No Parentheses (50 Questions) ✎ Adding Integers from -25 to 25 No Parentheses (50 Questions) ✎ Adding Integers from -50 to 50 No Parentheses (50 Questions) ✎ Adding Integers from -99 to 99 No Parentheses (50 Questions) ✎
• Adding Integers Worksheets with 25 Large Print Questions Per Page (Some Parentheses) Adding Integers from -9 to 9 (Large Print; 25 Questions) ✎ Adding Integers from -12 to 12 (Large Print; 25 Questions) ✎ Adding Integers from -15 to 15 (Large Print; 25 Questions) ✎ Adding Integers from -20 to 20 (Large Print; 25 Questions) ✎ Adding Integers from -25 to 25 (Large Print; 25 Questions) ✎ Adding Integers from -50 to 50 (Large Print; 25 Questions) ✎ Adding Integers from -99 to 99 (Large Print; 25 Questions) ✎
• Adding Integers Worksheets with 25 Large Print Questions Per Page (All Parentheses) Adding Integers from (-9) to (+9) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-12) to (+12) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-15) to (+15) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-20) to (+20) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-25) to (+25) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-50) to (+50) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-99) to (+99) All Parentheses (Large Print; 25 Questions) ✎
• Adding Integers Worksheets with 25 Large Print Questions Per Page (No Parentheses) Adding Integers from -9 to 9 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -12 to 12 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -15 to 15 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -20 to 20 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -25 to 25 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -50 to 50 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -99 to 99 No Parentheses (Large Print; 25 Questions) ✎
• Vertically Arranged Integer Addition Worksheets 3-Digit Integer Addition (Vertically Arranged) 3-Digit Positive Plus a Negative Integer Addition (Vertically Arranged) 3-Digit Negative Plus a Positive Integer Addition (Vertically Arranged) 3-Digit Negative Plus a Negative Integer Addition (Vertically Arranged)

Subtracting with integer chips is a little different. Integer subtraction can be thought of as removing. To subtract with integer chips, begin by modeling the first number (the minuend) with integer chips. Next, remove the chips that would represent the second number from your pile and you will have your answer. Unfortunately, that isn't all there is to it. This works beautifully if you have enough of the right color chip to remove, but often times you don't. For example, 5 - (-5), would require five yellow chips to start and would also require the removal of five red chips, but there aren't any red chips! Thank goodness, we have the zero principle. Adding or subtracting zero (a red chip and a yellow chip) has no effect on the original number, so we could add as many zeros as we wanted to the pile, and the number would still be the same. All that is needed then is to add as many zeros (pairs of red and yellow chips) as needed until there are enough of the correct color chip to remove. In our example 5 - (-5), you would add 5 zeros, so that you could remove five red chips. You would then be left with 10 yellow chips (or +10) which is the answer to the question.

• Subtracting Integers Worksheets with 75 Questions Per Page (Some Parentheses) Subtracting Integers from -9 to 9 (75 Questions) ✎ Subtracting Integers from -12 to 12 (75 Questions) ✎ Subtracting Integers from -15 to 15 (75 Questions) ✎ Subtracting Integers from -20 to 20 (75 Questions) ✎ Subtracting Integers from -25 to 25 (75 Questions) ✎ Subtracting Integers from -50 to 50 (75 Questions) ✎ Subtracting Integers from -99 to 99 (75 Questions) ✎
• Subtracting Integers Worksheets with 75 Questions Per Page (All Parentheses) Subtracting Integers from (-9) to (+9) All Parentheses (75 Questions) ✎ Subtracting Integers from (-12) to (+12) All Parentheses (75 Questions) ✎ Subtracting Integers from (-15) to (+15) All Parentheses (75 Questions) ✎ Subtracting Integers from (-20) to (+20) All Parentheses (75 Questions) ✎ Subtracting Integers from (-25) to (+25) All Parentheses (75 Questions) ✎ Subtracting Integers from (-50) to (+50) All Parentheses (75 Questions) ✎ Subtracting Integers from (-99) to (+99) All Parentheses (75 Questions) ✎
• Subtracting Integers Worksheets with 75 Questions Per Page (No Parentheses) Subtracting Integers from -9 to 9 No Parentheses (75 Questions) ✎ Subtracting Integers from -12 to 12 No Parentheses (75 Questions) ✎ Subtracting Integers from -15 to 15 No Parentheses (75 Questions) ✎ Subtracting Integers from -20 to 20 No Parentheses (75 Questions) ✎ Subtracting Integers from -25 to 25 No Parentheses (75 Questions) ✎ Subtracting Integers from -50 to 50 No Parentheses (75 Questions) ✎ Subtracting Integers from -99 to 99 No Parentheses (75 Questions) ✎
• Subtracting Integers Worksheets with 50 Questions Per Page (Some Parentheses) Subtracting Integers from -9 to 9 (50 Questions) ✎ Subtracting Integers from -12 to 12 (50 Questions) ✎ Subtracting Integers from -15 to 15 (50 Questions) ✎ Subtracting Integers from -20 to 20 (50 Questions) ✎ Subtracting Integers from -25 to 25 (50 Questions) ✎ Subtracting Integers from -50 to 50 (50 Questions) ✎ Subtracting Integers from -99 to 99 (50 Questions) ✎
• Subtracting Integers Worksheets with 50 Questions Per Page (All Parentheses) Subtracting Integers from (-9) to (+9) All Parentheses (50 Questions) ✎ Subtracting Integers from (-12) to (+12) All Parentheses (50 Questions) ✎ Subtracting Integers from (-15) to (+15) All Parentheses (50 Questions) ✎ Subtracting Integers from (-20) to (+20) All Parentheses (50 Questions) ✎ Subtracting Integers from (-25) to (+25) All Parentheses (50 Questions) ✎ Subtracting Integers from (-50) to (+50) All Parentheses (50 Questions) ✎ Subtracting Integers from (-99) to (+99) All Parentheses (50 Questions) ✎
• Subtracting Integers Worksheets with 50 Questions Per Page (No Parentheses) Subtracting Integers from -9 to 9 No Parentheses (50 Questions) ✎ Subtracting Integers from -12 to 12 No Parentheses (50 Questions) ✎ Subtracting Integers from -15 to 15 No Parentheses (50 Questions) ✎ Subtracting Integers from -20 to 20 No Parentheses (50 Questions) ✎ Subtracting Integers from -25 to 25 No Parentheses (50 Questions) ✎ Subtracting Integers from -50 to 50 No Parentheses (50 Questions) ✎ Subtracting Integers from -99 to 99 No Parentheses (50 Questions) ✎
• Subtracting Integers Worksheets with 25 Large Print Questions Per Page (Some Parentheses) Subtracting Integers from -9 to 9 (Large Print; 25 Questions) ✎ Subtracting Integers from -12 to 12 (Large Print; 25 Questions) ✎ Subtracting Integers from -15 to 15 (Large Print; 25 Questions) ✎ Subtracting Integers from -20 to 20 (Large Print; 25 Questions) ✎ Subtracting Integers from -25 to 25 (Large Print; 25 Questions) ✎ Subtracting Integers from -50 to 50 (Large Print; 25 Questions) ✎ Subtracting Integers from -99 to 99 (Large Print; 25 Questions) ✎
• Subtracting Integers Worksheets with 25 Large Print Questions Per Page (All Parentheses) Subtracting Integers from (-9) to (+9) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-12) to (+12) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-15) to (+15) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-20) to (+20) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-25) to (+25) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-50) to (+50) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-99) to (+99) All Parentheses (Large Print; 25 Questions) ✎
• Subtracting Integers Worksheets with 25 Large Print Questions Per Page (No Parentheses) Subtracting Integers from (-9) to 9 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-12) to 12 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-15) to 15 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-20) to 20 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-25) to 25 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-50) to 50 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-99) to 99 No Parentheses (Large Print; 25 Questions) ✎
• Vertically Arranged Integer Subtraction Worksheets 3-Digit Integer Subtraction (Vertically Arranged) 3-Digit Positive Minus a Positive Integer Subtraction (Vertically Arranged) 3-Digit Positive Minus a Negative Integer Subtraction (Vertically Arranged) 3-Digit Negative Minus a Positive Integer Subtraction (Vertically Arranged) 3-Digit Negative Minus a Negative Integer Subtraction (Vertically Arranged)

The worksheets in this section include addition and subtraction on the same page. Students will have to pay close attention to the signs and apply their knowledge of integer addition and subtraction to each question. The use of counters or number lines could be helpful to some students.

• Adding and Subtracting Integers Worksheets with 75 Questions Per Page (Some Parentheses) Adding & Subtracting Integers from -9 to 9 (75 Questions) ✎ Adding & Subtracting Integers from -10 to 10 (75 Questions) ✎ Adding & Subtracting Integers from -12 to 12 (75 Questions) ✎ Adding & Subtracting Integers from -15 to 15 (75 Questions) ✎ Adding & Subtracting Integers from -20 to 20 (75 Questions) ✎ Adding & Subtracting Integers from -25 to 25 (75 Questions) ✎ Adding & Subtracting Integers from -50 to 50 (75 Questions) ✎ Adding & Subtracting Integers from -99 to 99 (75 Questions) ✎
• Adding and Subtracting Integers Worksheets with 75 Questions Per Page (All Parentheses) Adding & Subtracting Integers from (-5) to (+5) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-9) to (+9) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-12) to (+12) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-15) to (+15) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-20) to (+20) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-25) to (+25) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-50) to (+50) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-99) to (+99) All Parentheses (75 Questions) ✎
• Adding and Subtracting Integers Worksheets with 75 Questions Per Page (No Parentheses) Adding & Subtracting Integers from -9 to 9 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -12 to 12 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -15 to 15 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -20 to 20 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -25 to 25 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -50 to 50 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -99 to 99 No Parentheses (75 Questions) ✎
• Adding and Subtracting Integers Worksheets with 50 Questions Per Page (Some Parentheses) Adding & Subtracting Integers from -9 to 9 (50 Questions) ✎ Adding & Subtracting Integers from -12 to 12 (50 Questions) ✎ Adding & Subtracting Integers from -15 to 15 (50 Questions) ✎ Adding & Subtracting Integers from -20 to 20 (50 Questions) ✎ Adding & Subtracting Integers from -25 to 25 (50 Questions) ✎ Adding & Subtracting Integers from -50 to 50 (50 Questions) ✎ Adding & Subtracting Integers from -99 to 99 (50 Questions) ✎
• Adding and Subtracting Integers Worksheets with 50 Questions Per Page (All Parentheses) Adding & Subtracting Integers from (-9) to (+9) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-12) to (+12) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-15) to (+15) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-20) to (+20) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-25) to (+25) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-50) to (+50) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-99) to (+99) All Parentheses (50 Questions) ✎
• Adding and Subtracting Integers Worksheets with 50 Questions Per Page (No Parentheses) Adding & Subtracting Integers from -9 to 9 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -12 to 12 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -15 to 15 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -20 to 20 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -25 to 25 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -50 to 50 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -99 to 99 No Parentheses (50 Questions) ✎
• Adding and Subtracting Integers Worksheets with 25 Large Print Questions Per Page (Some Parentheses) Adding & Subtracting Integers from -9 to 9 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -12 to 12 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -15 to 15 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -20 to 20 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -25 to 25 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -50 to 50 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -99 to 99 (Large Print; 25 Questions) ✎
• Adding and Subtracting Integers Worksheets with 25 Large Print Questions Per Page (All Parentheses) Adding & Subtracting Integers from (-9) to (+9) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-12) to (+12) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-15) to (+15) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-20) to (+20) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-25) to (+25) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-50) to (+50) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-99) to (+99) All Parentheses (Large Print; 25 Questions) ✎
• Adding and Subtracting Integers Worksheets with 25 Large Print Questions Per Page (No Parentheses) Adding & Subtracting Integers from (-9) to 9 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-12) to 12 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-15) to 15 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-20) to 20 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-25) to 25 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-50) to 50 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-99) to 99 No Parentheses (Large Print; 25 Questions) ✎

These worksheets include groups of questions that all result in positive or negative sums or differences. They can be used to help students see more clearly how certain integer questions end up with positive and negative results. In the case of addition of negative and positive integers, some people suggest looking for the "heavier" value to determine whether the sum will be positive of negative. More technically, it would be the integer with the greater absolute value. For example, in the question (−2) + 5, the absolute value of the positive integer is greater, so the sum will be positive.

In subtraction questions, the focus is on the subtrahend (the value being subtracted). In positive minus positive questions, if the subtrahend is greater than the minuend, the answer will be negative. In negative minus negative questions, if the subtrahend has a greater absolute value, the answer will be positive. Vice-versa for both situations. Alternatively, students can always convert subtraction questions to addition questions by changing the signs (e.g. (−5) − (−7) is the same as (−5) + 7; 3 − 5 is the same as 3 + (−5)).

• Scaffolded Integer Addition and Subtraction Positive Plus Negative Integer Addition (Scaffolded) ✎ Negative Plus Positive Integer Addition (Scaffolded) ✎ Mixed Integer Addition (Scaffolded) ✎ Positive Minus Positive Integer Subtraction (Scaffolded) ✎ Negative Minus Negative Integer Subtraction (Scaffolded) ✎

Multiplying and Dividing Integers

Multiplying integers is very similar to multiplication facts except students need to learn the rules for the negative and positive signs. In short, they are:

In words, multiplying two positives or two negatives together results in a positive product, and multiplying a negative and a positive in either order results in a negative product. So, -8 × 8, 8 × (-8), -8 × (-8) and 8 × 8 all result in an absolute value of 64, but in two cases, the answer is positive (64) and in two cases the answer is negative (-64).

Should you wish to develop some "real-world" examples of integer multiplication, it might be a stretch due to the abstract nature of negative numbers. Sure, you could come up with some scenario about owing a debt and removing the debt in previous months, but this may only result in confusion. For now students can learn the rules of multiplying integers and worry about the analogies later!

• Multiplying Integers with 100 Questions Per Page Multiplying Mixed Integers from -9 to 9 (100 Questions) ✎ Multiplying Positive by Negative Integers from -9 to 9 (100 Questions) ✎ Multiplying Negative by Positive Integers from -9 to 9 (100 Questions) ✎ Multiplying Negative by Negative Integers from -9 to 9 (100 Questions) ✎ Multiplying Mixed Integers from -12 to 12 (100 Questions) ✎ Multiplying Positive by Negative Integers from -12 to 12 (100 Questions) ✎ Multiplying Negative by Positive Integers from -12 to 12 (100 Questions) ✎ Multiplying Negative by Negative Integers from -12 to 12 (100 Questions) ✎ Multiplying Mixed Integers from -20 to 20 (100 Questions) ✎ Multiplying Mixed Integers from -50 to 50 (100 Questions) ✎
• Multiplying Integers with 50 Questions Per Page Multiplying Mixed Integers from -9 to 9 (50 Questions) ✎ Multiplying Positive by Negative Integers from -9 to 9 (50 Questions) ✎ Multiplying Negative by Positive Integers from -9 to 9 (50 Questions) ✎ Multiplying Negative by Negative Integers from -9 to 9 (50 Questions) ✎ Multiplying Mixed Integers from -12 to 12 (50 Questions) ✎ Multiplying Positive by Negative Integers from -12 to 12 (50 Questions) ✎ Multiplying Negative by Positive Integers from -12 to 12 (50 Questions) ✎ Multiplying Negative by Negative Integers from -12 to 12 (50 Questions) ✎
• Multiplying Integers with 25 Large Print Questions Per Page Multiplying Mixed Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying Positive by Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying Negative by Positive Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying Negative by Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying Mixed Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying Positive by Negative Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying Negative by Positive Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying Negative by Negative Integers from -12 to 12 (25 Questions; Large Print) ✎

Luckily (for your students), the rules of dividing integers are the same as the rules for multiplying:

Dividing a positive by a positive integer or a negative by a negative integer will result in a positive integer. Dividing a negative by a positive integer or a positive by a negative integer will result in a negative integer. A good grasp of division facts and a knowledge of the rules for multiplying and dividing integers will go a long way in helping your students master integer division. Use the worksheets in this section to guide students along.

• Dividing Integers with 100 Questions Per Page Dividing Mixed Integers from -9 to 9 (100 Questions) ✎ Dividing Positive by Negative Integers from -9 to 9 (100 Questions) ✎ Dividing Negative by Positive Integers from -9 to 9 (100 Questions) ✎ Dividing Negative by Negative Integers from -9 to 9 (100 Questions) ✎ Dividing Mixed Integers from -12 to 12 (100 Questions) ✎ Dividing Positive by Negative Integers from -12 to 12 (100 Questions) ✎ Dividing Negative by Positive Integers from -12 to 12 (100 Questions) ✎ Dividing Negative by Negative Integers from -12 to 12 (100 Questions) ✎
• Dividing Integers with 50 Questions Per Page Dividing Mixed Integers from -9 to 9 (50 Questions) ✎ Dividing Positive by Negative Integers from -9 to 9 (50 Questions) ✎ Dividing Negative by Positive Integers from -9 to 9 (50 Questions) ✎ Dividing Negative by Negative Integers from -9 to 9 (50 Questions) ✎ Dividing Mixed Integers from -12 to 12 (50 Questions) ✎ Dividing Positive by Negative Integers from -12 to 12 (50 Questions) ✎ Dividing Negative by Positive Integers from -12 to 12 (50 Questions) ✎ Dividing Negative by Negative Integers from -12 to 12 (50 Questions) ✎
• Dividing Integers with 25 Large Print Questions Per Page Dividing Mixed Integers from -9 to 9 (25 Questions; Large Print) ✎ Dividing Positive by Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Dividing Negative by Positive Integers from -9 to 9 (25 Questions; Large Print) ✎ Dividing Negative by Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Dividing Mixed Integers from -12 to 12 (25 Questions; Large Print) ✎ Dividing Positive by Negative Integers from -12 to 12 (25 Questions; Large Print) ✎ Dividing Negative by Positive Integers from -12 to 12 (25 Questions; Large Print) ✎ Dividing Negative by Negative Integers from -12 to 12 (25 Questions; Large Print) ✎

This section includes worksheets with both multiplying and dividing integers on the same page. As long as students know their facts and the integer rules for multiplying and dividing, their sole worry will be to pay attention to the operation signs.

• Multiplying and Dividing Integers with 100 Questions Per Page Multiplying and Dividing Mixed Integers from -9 to 9 (100 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -9 to 9 (100 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -9 to 9 (100 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -9 to 9 (100 Questions) ✎ Multiplying and Dividing Mixed Integers from -12 to 12 (100 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -12 to 12 (100 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -12 to 12 (100 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -12 to 12 (100 Questions) ✎
• Multiplying and Dividing Integers with 75 Questions Per Page Multiplying and Dividing Mixed Integers from -9 to 9 (75 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -9 to 9 (75 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -9 to 9 (75 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -9 to 9 (75 Questions) ✎ Multiplying and Dividing Mixed Integers from -12 to 12 (75 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -12 to 12 (75 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -12 to 12 (75 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -12 to 12 (75 Questions) ✎
• Multiplying and Dividing Integers with 50 Questions Per Page Multiplying and Dividing Mixed Integers from -9 to 9 (50 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -9 to 9 (50 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -9 to 9 (50 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -9 to 9 (50 Questions) ✎ Multiplying and Dividing Mixed Integers from -12 to 12 (50 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -12 to 12 (50 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -12 to 12 (50 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -12 to 12 (50 Questions) ✎
• Multiplying and Dividing Integers with 25 Large Print Questions Per Page Multiplying and Dividing Mixed Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying and Dividing Positive and Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying and Dividing Negative and Positive Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying and Dividing Negative and Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying and Dividing Mixed Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying and Dividing Positive and Negative Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying and Dividing Negative and Positive Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying and Dividing Negative and Negative Integers from -12 to 12 (25 Questions; Large Print) ✎

All Operations with Integers

In this section, the integers math worksheets include all of the operations. Students will need to pay attention to the operations and the signs and use mental math or another strategy to arrive at the correct answers. It should go without saying that students need to know their basic addition, subtraction, multiplication and division facts and rules regarding operations with integers before they should complete any of these worksheets independently. Of course, the worksheets can be used as a source of questions for lessons, tests or other learning activities.

• All Operations with Integers with 50 Questions Per Page (Some Parentheses) All operations with integers from -9 to 9 (50 Questions) ✎ All operations with integers from -12 to 12 (50 Questions) ✎ All operations with integers from -15 to 15 (50 Questions) ✎ All operations with integers from -20 to 20 (50 Questions) ✎ All operations with integers from -25 to 25 (50 Questions) ✎ All operations with integers from -50 to 50 (50 Questions) ✎ All operations with integers from -99 to 99 (50 Questions) ✎
• All Operations with Integers with 50 Questions Per Page (All Parentheses) All operations with integers from (-9) to (+9) All Parentheses (50 Questions) ✎ All operations with integers from (-12) to (+12) All Parentheses (50 Questions) ✎ All operations with integers from (-15) to (+15) All Parentheses (50 Questions) ✎ All operations with integers from (-20) to (+20) All Parentheses (50 Questions) ✎ All operations with integers from (-25) to (+25) All Parentheses (50 Questions) ✎ All operations with integers from (-50) to (+50) All Parentheses (50 Questions) ✎ All operations with integers from (-99) to (+99) All Parentheses (50 Questions) ✎
• All Operations with Integers with 50 Questions Per Page (No Parentheses) All operations with integers from -9 to 9 No Parentheses (50 Questions) ✎ All operations with integers from -12 to 12 No Parentheses (50 Questions) ✎ All operations with integers from -15 to 15 No Parentheses (50 Questions) ✎ All operations with integers from -20 to 20 No Parentheses (50 Questions) ✎ All operations with integers from -25 to 25 No Parentheses (50 Questions) ✎ All operations with integers from -50 to 50 No Parentheses (50 Questions) ✎ All operations with integers from -99 to 99 No Parentheses (50 Questions) ✎

Order of operations with integers can be found on the Order of Operations page:

Order of Operations with Integers

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