# 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?

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.

## 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

2. Choose the number of questions

(Optional) Give your worksheet a title.

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

Number values:

Place Value Mode:

Randomize Order

Number of Questions:

## 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!

### Reading and Writing 3 Digit Numbers

Math-Salamanders.com