Expanded Form and Standard Form Worksheets

(Randomly Generated)

Welcome to our Expanded Form and Standard Form Worksheets area.

Here you will find our free worksheet generator for generating your own place value worksheets involving converting numbers between standard form and expanded form.

If you are looking to create your own custom-made place value worksheets then look no further!

What is Expanded Form and Standard Form?

expanded form and standard form table

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.

Using the random sheet generator will allow you to:

  • choose the number range and number of questions you wish the worksheet to use;
  • print the worksheet and a corresponding answer sheet that you have created;
  • quickly generate a new worksheet with the same features.

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

Expanded Form and Standard Form Worksheets Generator

Here is our random worksheet generator for converting numbers between standard formand expanded form.

Using this generator will let you create worksheets about:

  • convert numbers to standard form
  • convert numbers to expanded form
  • choose number values with 2, 3 or 4 digits

At a 2nd grade, students should be able to convert numbers with 3-digits into standard form and back.

Our Standard to Expanded 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.
  • Randomizer - choose to randomize the order of the place value addends when converting to standard form.

Standard and Expanded Form Worksheet Generator

4 Steps to Your Worksheets...

  1. Choose your number values to add up to
  2. Choose the number of questions
  3. View your sheet (with or without answers)
  4. 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:

Missing Addends

Randomize Order

Number of Questions:


 

Your worksheet will appear below.

 
 
 
 
 
 
 
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Converting Between Expanded Form and Standard Form

How to Convert from Standard Form to Expanded Form

Follow these step-by-step instructions to convert a 3-digit number from standard form to expanded form.

  1. Take the first digit - in a 3-digit number this is the hundreds digit. Write down the value (in the number 347 the value of the '3' is 300).
  2. Take the second digit - in a 3-digit number, this is the tens digit. If it is non-zero then write a '+' symbol and the value of the digit (in the number 347, the value of the '4' is 40).
  3. Take the third digit - in a 3-digit number, this is the ones digit. If it is non-zero, write a '+' symbol and the value of the digit. In the number 347, the value of the '7' is just 7.

This means that 347 = 300 + 40 + 7

Convert from Standard Form to Expanded Form Examples

Example 1) 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 2) Convert 908 to expanded form.

The first digit is an 9; the place value is 900.

The second digit is a 0; the place value is 0.

The third digit is a 8; the place value is 8.

So 908 = 900 + 0 + 8 or 900 + 8

Example 3) Convert 75 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.

So 75 = 70 + 5

Example 4) Convert 560 to expanded form.

The first digit is a 5; the place value is 500.

The second digit is a 6; the place value is 60.

The third digit is a 0; the place value is 0.

So 560 = 500 + 60 + 0 or 500 + 60

How to Convert from Expanded Form to Standard Form

Follow these step-by-step instructions to convert a 3-digit number from expanded form to standard form.

  1. Make sure the numbers in the expanded form are in order, with the hundreds first, the tens second and the ones last. If they are not in order, then put them in order. Example: 10 + 8 + 200 rewrite this as 200 + 10 + 8.
  2. Take the number of hundreds and write down the hundreds digit. In the expanded form 200 + 10 + 8, then hundreds digit is 2.
  3. Take the number of tens and write down the tens digit next to the hundreds digit. In the expanded form 200 + 10 + 8, the tens digit is 1.
  4. Take the number of ones and write it down next to the tens digit. In the expanded form 200 + 10 + 8, the ones digit is 8.

This means that 200 + 10 + 8 = 218

Convert from Expanded Form to Standard Form Examples

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.

There are 3 hundreds, so the hundreds digit is 3.

There are 8 tens, so the tens digit is 8.

There are 2 ones, so the ones digit is 2.

So 300 + 80 + 2 = 382

Example 2) Convert 900 + 50 + 7 to standard form.

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

There are 9 hundreds, so the hundreds digit is 9.

There are 5 tens, so the tens digit is 5.

There are 7 ones, so the ones digit is 7.

So 900 + 50 +7 = 957

Example 3) Convert 20 + 4 + 100 to standard form.

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

20 + 4 + 100 = 100 + 20 + 4

There is 1 hundred, so the hundreds digit is 1.

There are 2 tens, so the tens digit is 2.

There are 4 ones, so the ones digit is 4.

So 20 + 4 + 100 = 124

Example 4) Convert 700 + 2 to standard form.

The expanded form is in the correct order but there are no tens to add on. We can rewrite this.

700 + 2 = 700 + 0 + 2

There are 7 hundreds, so the hundreds digit is 7.

There are 0 tens, so the tens digit is 0. This zero is important!

There are 2 ones, so the ones digit is 2.

So 700 + 2 = 702

The 0 for the number of tens is very important and is called a placeholder. It keeps all the digits in their proper places.

Without the 0 for a tens digit, we get 700 + 2 = 72 which is a common mistake!

Other Recommended Math Resources

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

Online Place Value Practice

In our Math Place Value Practice area, you can practice your place value skills, combining thousands, hundreds, tens and ones.

You can also test your place value knowledge by entering the value of a given digit in a number.

You can select the numbers you want to practice with, and print out your results when you have finished.

free place value practice zone 2nd grade image math place value zone 2nd grade image

Digit Value Place Value Worksheet Generator

These worksheets involve finding the value of different digits in a 3-digit number.

The sheets are randomly generated so you get a different one each time!

As well as 3-digit numbers, you can also generate 2-digit and 4-digit numbers to find the value for.

place value worksheets 2nd grade digit values 1

Graded (non-generated) Place Value Worksheets

We also have some graded place value worksheets for a range of different levels.

The sheets in the links below are not randomly generated, but have been carefully selected to progress your child through their addition learning.

Place Value Worksheets 2nd Grade up to 3-digits

place value blocks image place value worksheets image

Reading and Writing 3 Digit Numbers

The worksheets in this section are all about reading and writing a range of 3 digit numbers.

Using the sheets in this section will help your child to:

  • Read and write 3 digit numbers;
  • Compare 3 digit numbers.

These 2nd grade place value worksheets will help your child to become more confident handling 3 digit numbers.

free place value worksheets image
 

Return to 2nd Grade Place Value Worksheets Hub page

Return to Second Grade Math Worksheets Generator

Return from Expanded Form and Standard Form Worksheets to Home Page

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