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Standard Form to Expanded Form Worksheets
(Randomly Generated)
Welcome to our Standard Form to Expanded Form Worksheets area.
Check out our free worksheet generator for generating your own place value worksheets to converting numbers from standard form into expanded form.
We also have step-by-step instructions and worked examples to help you master this skill.
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.
Standard Form to Expanded Form Worksheets Generator
Here is our random worksheet generator for converting numbers from standard form to expanded form.
Using this generator will let you create worksheets about:
- convert numbers from standard form to expanded form
- choose number values up to 7 digits
- choose number values up to 3dp
Standard Form to Expanded Form Worksheet Generator
4 Steps to Your Worksheets...
- Choose your number values
- Choose the number of questions
- View your sheet (with or without answers)
- Print your sheet
Your worksheet will appear below.
How to Convert from Standard Form to Expanded Form
Follow these step-by-step instructions to convert a number from standard form to expanded form.
- Take the first digit - the most significant digit. Write down the place value of the digit (in the number 347 the value of the '3' is 300) followed by '+' symbol.
- Take the next digit and write down the place value of this digit followed by a '+' symbol.
- Keep repeating these steps until you get to the final digit.
- Write down the place value of the final digit (you do not need a '+' symbol this time).
Convert from Standard Form to Expanded Form Examples
Let's see what this looks like using a place value chart to support us.
Example 1): Convert 8507 to expanded form.
First we'll put this number into a place value chart.
1) The first digit is an 8; the place value is 8000. So we write down 8000 and a '+' sign ready for the next number.
2) The second digit is a 5; the place value is 500. So we write down 500 and a '+' sign ready for the next number.
3) The next digit is a zero; the place value is 0. So we can either leave this out or record a '0' and a '+' sign for the next number.
4) The final digit is a 7; the place value is 7. So we write down 7.
This gives us a final answer of:
8507 = 8000 + 500 + 0 + 7 or
8507 = 8000 + 500 + 7
Example 2) Convert 826 to expanded form.
The first digit is an 8; the place value is 800.
The second digit is a 2; the place value is 20.
The third digit is a 6; the place value is 6.
So 826 = 800 + 20 + 6
Example 3) Convert 21,908 to expanded form.
The first digit is a 2; the place value is 20,000
The second digit is a 1; the place value is 1,000
The 3rd digit is an 9; the place value is 900.
The 4th digit is a 0; the place value is 0.
The 5th digit is a 8; the place value is 8.
So 21,908 = 20,000 + 1,000 + 900 + 0 + 8
or 21,908 = 20,000 + 1,000 + 900 + 8
Example 4) Convert 75.3 to expanded form.
The first digit is an 7; the place value is 70.
The second digit is a 5; the place value is 5.
The 3rd digit is a 3; the place value is 0.3
So 75.3 = 70 + 5 + 0.3
Example 5) Convert 259.06 to expanded form.
The first digit is a 2; the place value is 200.
The second digit is a 5; the place value is 50.
The 3rd digit is a 9; the place value is 9.
The 4th digit is a 0; the place value is 0.
The 5th digit is a 6; the place value is 0.06.
So 259.06 = 200 + 50 + 9 + 0.06
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 standard form to expanded form, as they can easily see the place value of each digit from the column.
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.
Other Recommended Worksheets
Here are some of our other related worksheets you might want to look at.
Expanded Form to Standard Form Support & Worksheets
If you want to practice converting numbers from expanded form to standard form, then we have some resources to help you learn this skill.
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.
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.
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.
Related Worksheets Generator
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.
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.
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Math-Salamanders.com
The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.
We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.
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