# 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?

Using the random sheet generator will allow you to:

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

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.

## 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

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:  ### 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

#### 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