Expanded Notation

The following examples show how to write the Expanded Notation for whole numbers and for decimals. Scroll down the page for examples and solutions.

• Printable & Online Place Value Worksheets

  Printable & Online
  Ten and Ones (eg. 17 = __ ten and __ ones)
  Count Tens & Ones (with pictures)
  Count Tens & Ones (with place value charts)
  Tens and Ones (eg. 73 = __ tens and __ ones)
  

  Add Tens & Ones (with pictures)
  Add Tens & Ones (eg. 60 + 4 = )
  1 more, 1 less, 10 more, 10 less
  

  Hundreds, Tens, Ones (eg. 536 = 500 + 30 + 6)
  Expanded Form (up to hundreds)
  Expanded Form (up to millions)
  

  Interactive
  Identify the place value of a digit
  Place Values (1’s, 10’s, 100’s)
  Place Values (up to 1,000’s)
  Place Values (up to 10,000’s)
  
  State the digit in ones or tens place
  State the digit (1’s, 10’s, 100’s place)
  State the digit (up to 1,000’s place)
  State the digit (up to 10,000’s place)

  Expanded Form Worksheet

Whole Numbers In Expanded Notation

The digits in the number 3,463,352 has the following place values and values of digit.

Place value	Millions	Hundred thousands	Ten thousands	Thousands	Hundreds	Tens	Ones
Value of digit	3 000 000	400 000	60 000	3 000	300	50	2

We can add the values of the digits to get the number.
3,000,000 + 400,000 + 60,000 + 3,000 + 300 + 50 + 2 = 3,463,352

To show the place values of the digits in a number, we can write the number with expanded notation.

Example:
Write 62,502 in expanded notation.

Solution:
62,502 = 60,000 + 2,000 + 500 + 2

Write the ten thousands: 60,000 as 6 × 10,000
Write the thousands: 2,000 as 2 × 1,000
Write the hundreds: 500 as 5 × 100
Write the tens: 0 as 0 × 10
Write the ones: 2 as 2 × 1

So, 62,502 = (6 × 10,000) + (2 × 1,000) + (5 × 100) + (2 × 1)

Example:
Write 4,205,891 in expanded notation.

Solution:
4,205,891 = 4,000,000 + 200,000 + 5,000 + 800 + 90 + 1
= (4 × 1,000,000) + (2 × 100,000) + (5 × 1,000) + (8 × 100) + (9 × 10) + (1 × 1)

How To Use The Place Value Chart To Write A Number In Expanded Form?

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Whole Numbers, Place Value, Expanded Form, And Writing Whole Numbers

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How To Write Numbers In Expanded Notation?

Example:
Write in expanded notation.
a) 416
b) 2414

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Learn All About Writing Numbers In Expanded Notation

For example, you will learn how to write 278,502 as 200,000 + 70,000 + 8,000 + 500 + 2.

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Decimals In Expanded Notation

How to write decimal numbers in expanded notation?

Examples:

1. Write 5.08 in expanded notation.
   
2. Write 0.604 in expanded notation.

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How To Write A Decimal In Expanded Form With Negative Powers Of Ten?

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Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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