Concept

Repeating Decimals

A repeating decimal number, or recurring decimal number, is a number in decimal form in which some digits after the decimal point repeat infinitely. The digits repeat their values at regular intervals and the infinitely repeated part is not zero. When writing the decimal, a line is drawn over the repeating portion to express such a number.

Repeating Decimal Numbers
Number Notation Fraction
0.666666... 0.6 2/3
1.533333... 1.53 23/15
5.373737... 5.37 532/99

Since they can be expressed as fractions, repeating decimal numbers are rational numbers.

Exercises
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