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Standard Form: Worksheets with Answers

Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all (well, most!) come with answers.

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Standard Form Worksheet and Answer Key

Students will practice working with the Standard Form Equation of a Line including finding the X and Y-intercept s, Graphing Standard Form Equations and converting Slope Intercept to Standard Form .

Example Questions

Find the x - and y - intercepts of the Standard Form Linear Equations below.

Write each equation in Standard Form using integer coefficients for A, B and C.

Graph each line using intercepts.

Other Details

This is a 4 part worksheet:

• Part I Model Problems
• Part II Practice
• Part III Challenge Problems
• Part IV Answer Key
• Slope Intercept Form to Standard Form
• Slope Intercept to Standard Form
• Standard to Slope Intercept
• Equation of Line Formulas
• Linear Equation Links, Lessons and Tutorials
• Standard Form to Point Slope Form
• Point Slope to Standard Form

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Standard Form Worksheets

• Number Sense >
• Place Value >
• Standard Form

Our collection of free printable standard form worksheets helps young learners to write numbers in the standard form as well as they learn to identify the place values of their digits. The exercises here put forth whole numbers ranging from 2 digits to multiple digits and decimals in the expanded form and require students to convert them into the standard form.

This set of standard form worksheets is perfect for children in grade 1 through grade 5.

List of Standard Form Worksheets

Writing 2-Digit Numbers in the Standard Form

Writing 3-Digit Numbers in the Standard Form

Writing 4-Digit Numbers in the Standard Form

Writing 5-Digit Numbers in the Standard Form

Writing 6-Digit Numbers in the Standard Form

Writing Multi-Digit Numbers in the Standard Form

Writing Decimals in the Standard Form

Greet a heartfelt hello to your standard form practice with this simple practice batch! Write the digits in the appropriate places and express the expression in the standard form.

Swing into some spirited conversion action with this set of pdf worksheets for 1st grade, 2nd grade, and 3rd grade! Express the 3-term expansion as a 3-digit number in the standard form.

Let not having to write 4-digit numbers in standard forms put you in a spot of bother! Try solving these printable worksheets for grade 1, grade 2, and grade 3, and delve deeper into the topic of place value!

Study the addends in these standard form pdfs, and figure out the digits that hold the ten thousands, thousands, hundreds, tens, and ones places of a 5-digit number.

Learn to express 6-digit numerals in the standard notation with this set of pdfs designed for grade 4 and grade 5 kids! Decode the digits from the expanded form and write down the whole number with ones to hundred thousands places.

Students in 4th grade or 5th grade are now totally at home in their standard form tasks. Determine which of the 7-digit, 8-digit, and 9-digit numbers stands for the 20+ expressions here.

Unit fractions with multiples of ten in the denominator denote the place values of the decimal part of a number. Use this simple fact and condense an expansion to the decimal notation with this collection of decimals in standard form worksheets!

Related Printable Worksheets

▶ Expanded Form

▶ Abacus

▶ Base Ten Blocks

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Standard Form worksheets

Convert numbers to standard form, convert standard form to numbers, convert between ordinary numbers and standard form, adding in standard form, subtracting in standard form, add and subtract in standard form, multiply standard form, divide standard form, multiply and divide standard form, add, subtract, multiply and divide in standard form.

Visual maths worksheets, each maths worksheet is differentiated and visual.

Standard Form Problem Solving worksheet

Total reviews: (0), standard form problem solving worksheet description.

If you are needing some extra worded questions on standard form, then this worksheet has three questions to test your learners comprehension and problem-solving skills.

Section A has a problem that will involve find the difference between two planets.

Section B adds the repeated percentage change.

Section C looks at a problem about cell size and will involve both multiplication and division.

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Standard Form Worksheet

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Help your students prepare for their Maths GCSE with this free comparing Standard Form worksheet of 44 questions and answers

• Section 1 of the Standard Form worksheet contains 12 skills-based Standard Form questions, in 3 groups to support differentiation
• Section 2 contains 4 applied Standard Form questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 4 foundation and higher level GCSE exam style Standard Form questions 
• Answers and a mark scheme for all Standard Form questions
• Follows variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Standard form at a glance

Standard form, or standard index form, is a simple way of writing very large numbers or very small numbers. To write a number in standard form, we write the number as a decimal between 1 and 10, multiplied by a power of 10.  We call numbers that are not written in standard form ordinary numbers.

When converting numbers to standard form, we write any significant figures as a decimal between 1 and 10. We then need to maintain the place value of the number by multiplying the decimal by a power of 10. For example let’s look at the number 43000. The significant figures here are 4 and 3 so the decimal is 4.3. To maintain the place value of the number, we need to multiply 4.3 by 10000 or 10 4 . Therefore 43000 can be written as 4.3×10 4 . For very small numbers, the power of 10 will be negative. 

We can convert standard form numbers back to ordinary numbers by multiplying the decimal by the power of 10. We can multiply and divide numbers written in standard form directly but to add or subtract numbers written in standard form it is best to convert them back to ordinary numbers. 

Looking forward, students can then progress to additional number worksheets , for example a fractions worksheet or a rounding worksheet .

  For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.

Related worksheets

Multiplying And Dividing In Standard Form Exam Questions

Rational And Irrational Numbers Exam Questions

Adding And Subtracting Standard Form Exam Questions

Fractions To Percentages Exam Questions

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Course: Algebra 1   >   Unit 14

• Finding the vertex of a parabola in standard form
• Graphing quadratics: standard form
• Graph quadratics in standard form
• Quadratic word problem: ball

Quadratic word problems (standard form)

• Your answer should be
• an integer, like 6 ‍  
• a simplified proper fraction, like 3 / 5 ‍  
• a simplified improper fraction, like 7 / 4 ‍  
• a mixed number, like 1   3 / 4 ‍  
• an exact decimal, like 0.75 ‍  
• a multiple of pi, like 12   pi ‍   or 2 / 3   pi ‍  

Rewriting Linear Equations in Standard Form (A)

Welcome to The Rewriting Linear Equations in Standard Form (A) Math Worksheet from the Algebra Worksheets Page at Math-Drills.com. This math worksheet was created or last revised on 2015-04-22 and has been viewed 413 times this week and 1,189 times this month. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math.

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Standard and Expanded Form Worksheets

This ensemble of printable worksheets is exclusively designed for students of grade 1 through grade 5, to help them write numbers in standard form to expanded form and vice versa. The worksheets are split into place values of units, thousands, millions and billions to enable convenient downloads. A number of free worksheets are at your disposal.

Standard and Expanded Form: Units Place Value

Task 1st grade and 2nd grade kids to convert a mix of 2-digit and 3-digit numbers from standard form to expanded form and vice versa.

• Download the set

Standard and Expanded Form: Thousands Place Value

Transform numbers that contain place values of thousands to expanded form and vice versa. Provide ample practice for young learners with 15 pdf worksheets in this section.

Standard and Expanded Form: Millions Place Value

This practice set requires 3rd grade and 4th grade children to rewrite the standard numeric notations that comprise place values in millions, into expanded form and contrariwise.

Standard and Expanded Form: Billions Place Value

Convert the given multi-digit numbers from standard form into expanded form and vice versa.

Standard and Expanded Word Form Worksheets

This wide collection of printable worksheets requires students to convert numbers into expanded word form and vice versa.

(70 Worksheets)

Standard and Expanded Product Form Worksheets

Transform the numbers provided in these worksheets to expanded product form and contrariwise. In product form, the digits will be accompanied by place value multipliers expressed in multiples of 10s.

(60 Worksheets)

Standard and Expanded Exponent Form Worksheets

Teach students of 5th grade and above the basic exponent rules to help them solve this compilation of pdf worksheets that focus on powers of 10. Rewrite numbers in standard form and exponential form.

Standard and Expanded Form - Decimals Worksheets

Grasp different ways of writing decimals in expanded notation with this ensemble of worksheets. Learners will need to transform decimals in place value form, exponential form and in the form of unit fractions.

(90 Worksheets)

Related Worksheets

» Reading Abacus

» Base Ten Blocks

» Number Names

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Expanded Form to Standard Form Worksheets

(randomly generated).

Welcome to our Expanded Form to Standard Form Worksheets area.

Here you will find our free worksheet generator for generating your own place value worksheets to convert numbers from expanded form into standard form.

We also have step-by-step instructions and worked examples to show you how to master this skill.

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

What is Expanded Form and Standard Form?

Standard form is the usual way of writing number using digits.

Expanded form is when you write the place value of each digit separated by addition symbols (+).

Getting students to convert between standard form and expanded form is a great way of developing place value skills and think about what each digit of a number represents.

Note: in the US and other countries, the term standard form is used to mean decimal notation (the usual way we write numbers). However in the UK the term 'standard form' is used to mean standard index form or scientific notation.

If you would like more information about standard index form or scientific notation, use this link.

Using the random sheet generator will allow you to:

• choose the number range and number of questions you wish the worksheet to have;
• print or save your worksheet and a corresponding answer sheet;
• choose your own title and instructions for completing the sheet - great for homework!

For optimal printing, please set your margins to zero on your print setup options.

To save your worksheets, select Print to PDF in the printing options.

If you have any problems with our Random Generator, please let us know using the Contact Us link at the top of each page.

Mobile View of Worksheets

Please note that our generated worksheets may have problems displaying correctly on some mobile devices.

This should not affect the printing of the sheets which should display correctly.

Expanded Form to Standard Form Worksheets Generator

Here is our random worksheet generator for converting numbers from expanded form into standard form.

Using this generator will let you create worksheets about:

• convert numbers to standard form
• choose number values up to 7 digits
• choose number values up to 3dp

Our Expanded Form to Standard Form Worksheets generator has several special features:

• Missing Addends: Choose to have one of the place value addends missing instead of the total when converting to standard form.
• Randomize Order: Choose to randomize the order of the place value addends when converting to standard form.

Expanded Form Worksheet Generator

4 Steps to Your Worksheets...

• Choose your number values to add up to
• Choose the number of questions
• View your sheet (with or without answers)
• Print your sheet

(Optional) Give your worksheet a title.

(Optional) Write out any instructions to go at the top of the sheet.

Number values:

Place Value Mode:

Number of Questions:

Your worksheet will appear below.

How to Convert from Expanded Form to Standard Form

Follow these step-by-step instructions to convert a number from expanded form to standard form.

We are going to convert 8 + 3000 + 200 into standard form using a place value chart.

Step 1) Make sure the numbers in the expanded form are in order, with the highest value number with the most digits first and the smallest number at the end.

Example: 8 + 3000 + 200 rewrite this as 3000 + 200 + 8.

Step 2) Take the first (largest) number to add and write down the digit in the correct place in the chart.

If you don't have a place value chart, then write down the digit followed an underscore for each of the zeroes in the number, so for 3000 we write down 3 _ _ _

The largest number is 3000 so we put 3 in the thousands column.

Step 3) Take the second number to add and write down the digit in the correct place in the chart.

The second number to add is 200, so we put a 2 in the hundreds column.

Step 4) Take the last number to add and write down the digit in the correct place in the chart.

The last number to add is 8, so we put this in the ones column.

Step 5) When you have finished writing down all the digits, look at the chart and put a zero in any columns with no digits. These are called placeholders.

There are no digits in the tens column so we need to put a 0 in the tens place in the chart as a placeholder.

So our final answer is 8 + 3000 + 200 = 3208.

The placeholder is very important - without it we get 8 + 3000 + 200 = 328 which is incorrect and is a common mistake for students to make.

Convert from Expanded Form to Standard Form Examples

In our examples, we convert numbers up to thousands to standard form, and also show how to convert decimals with up to 2 decimal places.

Here is a place value chart which shows place value up to 4 digits and up to 2 decimal places.

Example 1) Convert 300 + 80 + 2 to standard form.

The expanded form is in the correct order (hundreds + tens + ones) so we do not need to rewrite this.

We have 300, so the hundreds digit is 3. We write down 3 _ _

We have 80, so the tens digit is 8. We fill in the tens digit: 3 8 _

We have 2, so the ones digit is 2. We fill in the ones digit: 3 8 2

There are no missing digits, so we have finished.

So 300 + 80 + 2 = 382

Example 2) Convert 6000 + 50 + 7 to standard form.

The expanded form is in the correct order so we do not need to rewrite this.

We have 6000, so the thousands digit is 6. We write down 6 _ _ _

We have 50, so the tens digit is 5. We fill in the tens digit: 6 _ 5 _

We have 7, so the ones digit is 7. We fill in the ones digit: 6 _ 5 7

There is a missing digit in the hundreds place, so we put a zero as a placeholder: 6 0 5 7

So 6000 + 50 +7 = 6057

Example 3) Convert 200 + 4 + 5000 to standard form.

The expanded form is not in the correct order, so we will rewrite it.

200 + 4 + 5000 = 5000 + 200 + 4

We have 5000, so the thousands digit is 5. We write down 5 _ _ _

We have 200, so the hundreds digit is 2. We fill in the hundreds digit: 5 2 _ _

We have 4, so the ones digit is 4. We fill in the ones digit: 5 2 _ 4

There is a missing digit in the tens place, so we put a zero as a placeholder: 5 2 0 4

So 200 + 4 + 5000 = 5204

Example 4) Convert 70 + 8 + 0.5 to standard form.

We have 70, so the tens digit is 7. We write down 7 _ . _

We have 8, so the ones digit is 8. We fill in the ones: 7 8 . _

We have 0.5, so the tenths digit is 5. We fill in the tenths digit: 7 8 . 5

So 70 + 8 + 0.5 = 78.5

Example 4) Convert 5 + 400 + 0.08 to standard form.

5 + 400 + 0.08 = 400 + 5 + 0.08

We have 400, so the hundreds digit is 4. We write down 4 _ _ . _ _

We have 5, so the ones digit is 5. We fill in the ones: 4 _ 5 . _ _

We have 0.08, so the hundredths digit is 8. We fill in the hundredths digit: 4 _ 5 . _ 8

There are 2 missing digits, so we need to fill them in with zeroes: 4 0 5 . 0 8

So 5 + 400 + 0.08 = 405.08

Place Value Supporting Charts

We have a selection of place value charts which are great for helping to develop understanding of place value.

As you can see from the example above, the charts can also be really useful for students who are struggling to convert numbers from expanded form to standard form.

The charts cover a range of numbers from millions to thousandths.

They are also a good way to get children to become familiar with how the number system works.

• Number Chart 3b
• Number Chart 3c
• Decimal Place Value Chart 4b
• Decimal Place Value Chart 4c

Other Recommended Worksheets

Here are some of our other related worksheets you might want to look at.

• Standard Form to Expanded Form Worksheets

Our standard form to expanded form worksheets generator will let you create your own place value worksheets to convert numbers from standard form to expanded form.

You can choose whether to randomize the place value addends, choose your number values up to millions or decimals up to 3dp.

Online Place Value Practice

In our Math Place Value Practice area, you can practice your digit value skills - knowing what each digit in a number is worth. You can also practice your place value combining of thousands, hundreds, tens and ones. You can even use this area with decimals: tenths and hundredths.

• Free Place Value Practice Zone 1 - Digit Values
• Math Place Value Practice Zone 2 - Combining

More Place Value Charts

If you want to find some different place value charts than those on this page, then use the links below to see our full range.

Our full range included charts going up to billions, and right down to millionths.

• Place Value Charts (whole numbers)
• Decimal Place Value Charts

Related Worksheets Generators

Digit place value worksheet generator.

Here is our generator for generating your own place value worksheets.

Our generator will create the following worksheets:

• digit value worksheets - where you have to write the value of the underlined digit
• using numbers up to millions;
• using numbers up to 3dp.

These sheets involve writing the value of the underlined digit.

• Digit Place Value Worksheets

How to Convert between Standard Notation and Scientific Notation

We have dedicated pages to help you learn to convert numbers to and from scientific notation.

There are clear step-by-step instructions along with worked examples and practice worksheets.

There is also an online quiz so you can test your knowledge with instant feedback.

• Standard Notation to Scientific Notation Support page
• Scientific Notation to Standard Notation support page

Place Value Worksheets

Looking for some graded place value worksheets?

Looking for a wider range of place value activities?

Take a look at our entire selection of place value worksheets, resources and activities on our place value hub page.

• Place Value Worksheets hub page

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Standard Form Word Problems

Standard Form Word Problems - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are Standard form word problems work, Linear equations, Work word problems, Abeged mathematics activities student work, Write each equation in slope intercept 3x 4y 8, Standard form exponential form integers s1, 501 math word problems, Standard form of linear equations a.

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1. Standard Form Word Problems Worksheet

2. linear equations, 3. work word problems, 4. abe/ged mathematics activities & student worksheets, 5. write each equation in slope-intercept form. 3x + 4y = 8 ..., 6. standard form & exponential form integers: s1, 7. 501 math word problems, 8. standard form of linear equations (a).

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Convert the Standard Numbers to Expanded Numbers Form Worksheets Math Problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

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Convert the Standard Numbers to Expanded Numbers Form Worksheets Math Problems Make learning percentages and decimals engaging with our comprehensive set of worksheets designed to reinforce understanding and mastery of these essential mathematical concepts. Whether you’re a teacher looking for classroom resources or a parent seeking supplementary materials for at-home learning, our worksheets cater to various skill levels and learning styles. Variety of Problems: Each worksheet offers a diverse range of problems, including converting between percentages and decimals, calculating percentages of numbers, and solving word problems involving percentages and decimals. Progressive Difficulty: Worksheets are organized by difficulty level, allowing learners to gradually build their skills from basic to advanced concepts. Answer Keys: Each worksheet comes with an answer key for easy grading and self-assessment, facilitating independent learning. Enhanced Understanding: Through repeated practice, students develop a deeper comprehension of percentages and decimals, paving the way for proficiency in more advanced mathematical concepts. Improved Problem-Solving Skills: By tackling a variety of problems, learners sharpen their analytical and critical-thinking abilities, essential for solving mathematical problems and real-world challenges. Confidence Boost: Success in solving problems boosts students’ confidence and enthusiasm for learning mathematics, fostering a positive attitude towards the subject. Whether you’re introducing percentages and decimals for the first time or reinforcing existing knowledge, our worksheets provide valuable resources to support effective teaching and learning. Empower your students to excel in mathematics with our engaging and comprehensive materials. Worksheets are made in 8.5” x 11” Standard Letter Size. This resource is helpful in students’ assessment, Independent Studies, group activities, practice and homework. This product is available in PDF format and ready to print as well.

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