Write tenths as decimals

A quantity partitioned into ten equal parts can be written in decimal notation, with the digit in the tenths place showing how many one-tenths it contains—for example, $3/10 = 0.3$ and $7/10 = 0.7$ . This connects fractions, decimal notation, and positions on a number line while reinforcing that $0.3$ means three tenths, not three ones; hundredths, decimal operations, and more advanced place-value generalizations are not included.

Detailed Explanation: Write tenths as decimals

A tenth is one of 10 equal parts. The decimal point separates whole numbers from parts of a whole.

For a number of tenths:

Write the whole-number part first.
Write the decimal point.
Write the number of tenths after the decimal point.

Example

Write $\frac{4}{10}$ as a decimal.

The denominator is $10$ , so the whole is divided into ten equal parts.
The numerator is $4$ , so we have four tenths.
Four tenths is written as $0.4$ .

\frac{4}{10}=0.4

The $4$ in $0.4$ is in the tenths place. It tells us that $0.4$ means four tenths, not four whole ones.

Learn by doing: Write tenths as decimals

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Number Line - Small Decimals, Read Number - Labelled

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