Library/Arithmetic/Fractions/Decimal fractions

Decimal fractions

Overview
Important

A decimal fraction is a rational number that can be written as a10n\frac{a}{10^n}, where aa is an integer and nn is a non-negative integer. Every decimal fraction can be represented as a terminating decimal.

Important properties

  • Decimal fractions have denominators that are powers of ten.

  • They can always be written as terminating decimals.

  • Any terminating decimal can be written as a decimal fraction.

  • Decimal fractions are a subset of rational numbers.