Expanded Form (Numbers - Grade 5)

The terms expanded form, word form, and standard form are different ways to represent a number.

1. Standard Form:
   This is the typical way we write numbers, using digits.
   It shows the value of a number based on the position of its digits (ones, tens, hundreds, thousands, etc.).
   Example: 345
   
2. Word Form:
   This form expresses the number using words.
   Example:
   For the number 345, the word form is three hundred forty-five
   
3. Expanded Form:
   Writing numbers in expanded form means breaking the number down according to its place value and showing the sum of the value of each digit in the number. Expanded form can be demonstrated in several ways.
   For example:
   4123 = 4,000 + 100 + 20 + 3
   or
   4123 = (4 × 1,000) + (1 × 100) + (2 × 10) + (3 × 1).
   or
   4123 = (4 × 10³) + (1 × 10²) + (2 × 10) + (3 × 1).
   
   50,302 = 50000 + 300 + 2
   or
   50,302 = (5 × 10,000) + (3 × 100) + (2 × 1).
   or
   50,302 = (5 × 10⁴) + (3 × 10²) + (2 × 1).
   

The following diagram shows how a number can be written in Standard form, Word form and Expanded form. Scroll down the page for more examples and solutions on using the Standard form, Word form and Expanded form.

 

• Printable & Online Place Value Worksheets

  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)
  

Standard form, Word form, Expanded form
How to write numbers in Standard form, Word form and Expanded form?

Example:

1. Standard Form: ____
   Word Form: ninety-two thousand, one hundred seventy
   Expanded form: ____

2. Standard Form: 200,007
   Word Form: ____
   Expanded Form: ___

3. Read and write the following numbers in different forms
   a) 40,000 + 1,000 + 300 + 70 + 8
   b) Twenty-seven thousand, six hundred fifteen.

• Show Video Lesson

Place Value
Review of basic place value concepts.

Example:
The total number of people who visited the Ocean Adventure Park last year was 7,040,836. What is the value of the digit 4 in this number?

• Show Video Lesson

Place Value-Expanded Form

• Show Video Lesson

Standard Form, Expanded Form, and Word Form of Numbers (Up to Thousands)
Learn to write numbers in standard, expanded, and word form.

Example:
a. Express 3,527 in expanded form and word form.
b. Express two thousand four hundred sixty-five in standard form.

Standard Form, Expanded Form, and Word Form of Numbers (up to Millions)
Learn to write numbers in standard form, word form, and expanded forms.

Example:
a) Write the word name of the number 125,470,000.
b) Write the number thirty six million, two hundred nine thousand, three hundred fifty-five in standard form and expanded form.
c) The Jurassic Period was 205,000,000 to 138,000,000 years ago. Brachiosaurus walked on Earth 143,000,000 years ago. Write each of these numbers as short word names.

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Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

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