# decimal system

**decimal system** Commonly used system of writing numbers using a base ten and the Arabic numerals 0 to 9. It is a positional number system, each position to the left representing an extra power of ten. Thus 6741 is (6 × 10^{3}) + (7 × 10^{2}) + (4 × 10^{1}) + (1 × 10^{0}): note that 10^{0} = 1. Decimal fractions are represented by negative powers of ten placed to the right of a decimal point.

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