Expanded form represents a decimal through the sum of the values of its digits, such as 4.56=4+0.5+0.06, 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.
Detailed Explanation: Write decimals in expanded form
To write a decimal in expanded form, break it apart by place value.
For decimals through hundredths:
The digit left of the decimal point shows the ones.
The first digit right of the decimal point shows the tenths.
The second digit right of the decimal point shows the hundredths.
Example: Write (6.03) in expanded form.
The 6 is in the ones place, so its value is 6.
The 0 is in the tenths place, so its value is (0.0). It is a placeholder showing that there are no tenths.
The 3 is in the hundredths place, so its value is (0.03).
Add the place values:
6.03=6+0.00+0.03
The expanded form is also commonly written as:
6.03=6+0.03
This means 6 ones, 0 tenths, and 3 hundredths.
Learn by doing: Write decimals in expanded form
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Place Value (Decimals) - Normal Form to Expanded (Numbers)