Write decimals in expanded form

Decimal expanded form represents a number as the sum of the value of each digit according to its place, including ones, tenths, hundredths, and thousandths (for example, $3.482=3+0.4+0.08+0.002$ ). The understanding includes preserving zero-value places, such as $5.04=5+0.04$ , and recognizing that decimal digits represent fractional units rather than whole numbers; this strengthens place-value reasoning and supports later work with decimal operations and fraction equivalence.

Detailed Explanation: Write decimals in expanded form

Expanded form shows a number as the sum of the value of each digit.

For the number

6.042

The digit $6$ is in the ones place, so its value is $6$ .
The digit $0$ is in the tenths place, so its value is $0.0$ .
The digit $4$ is in the hundredths place, so its value is $0.04$ .
The digit $2$ is in the thousandths place, so its value is $0.002$ .

Put the place values together:

6.042=6+0.0+0.04+0.002

Because adding $0.0$ does not change the value, this is usually written as:

\boxed{6.042=6+0.04+0.002}

Remember that digits after the decimal point represent fractional parts. The $4$ means $4$ hundredths, not $4$ ones. Also, the zero in the tenths place is important because it shows that there are no tenths.

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Place Value (Decimals) - Normal Form to Expanded (Numbers)

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Write decimals in expanded form

Detailed Explanation: Write decimals in expanded form

Learn by doing: Write decimals in expanded form

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Place Value (Decimals) - Normal Form to Expanded (Numbers)