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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.
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
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.
The expanded form is in the correct order so we do not need to rewrite this.
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
There are no missing digits, so we have finished.
So 70 + 8 + 0.5 = 78.5
Example 4) Convert 5 + 400 + 0.08 to standard form.
The expanded form is not in the correct order, so we will rewrite it.
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.
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.
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.
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.
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.
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.
Return to Place Value Worksheets
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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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