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Expanded Form is a way to break up a number to show how much each digit in the number represents. In other words, expanded form is the method of pulling a number apart and expressing it as a sum of the values of each digit.

The best way to identify the expanded form of a number is to simply write the number in words.

Examples of Expanded Form

Expanded form of whole numbers

In order to understand expanded form better, one needs to be good at place value.

Consider the number 543. Arrange the digits in a place value chart as shown below.

From the chart above, we see that:

the value of 5 is 5 × 100 = 500

the value of 4 is 4 × 10 = 40

the value of 3 is 3 × 1 = 3

Therefore, the expanded form of the number 543 is 500 + 40 + 3.

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