1Cademy - Decimal Place Values

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Decimal

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Decimal Place Values

The place-value system extends to both the left and right of the decimal point. To the left, the digits represent whole numbers based on powers of ten (ones, tens, hundreds, thousands, etc.). To the right, each position corresponds to a fraction whose denominator is a power of ten, indicating parts smaller than one. Moving right from the decimal point, the places are tenths ( $\frac{1}{10}$ ), hundredths ( $\frac{1}{100}$ ), thousandths ( $\frac{1}{1{,}000}$ ), ten-thousandths ( $\frac{1}{10{,}000}$ ), and hundred-thousandths ( $\frac{1}{100{,}000}$ ). For example, $0.1 = \frac{1}{10}$ (one tenth), $0.01 = \frac{1}{100}$ (one hundredth), $0.001 = \frac{1}{1{,}000}$ (one thousandth), and $0.0001 = \frac{1}{10{,}000}$ (one ten-thousandth).

Updated 2026-05-02

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