Expanded form represents a decimal through the sum of the values of its digits, such as , or as 4 ones, 5 tenths, and 6 hundredths. The understanding depends on place value: a digit’s value is determined by its position, including zero placeholders, not by its face value alone. The scope is decimals through hundredths, excluding thousandths and more generalized decimal expansions.
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To write a decimal in expanded form, break it apart by place value.
For decimals through hundredths:
Example: Write in expanded form.
Add the place values:
The expanded form is also commonly written as:
This means 6 ones, 0 tenths, and 3 hundredths.
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