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Question

Every repeating decimal is a rational number.


A
True
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B
False
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Solution

The correct option is A True
  1. A number is rational if it can be written as pq, where pandq are integers and q≠0.
  2. Repeating decimals are decimal representations of numbers with infinitely repeating digits.
  3. Numbers with a repeating pattern of decimals (having same number/s repeating on expansion after decimal point) are rational because when we put them into fractional form, both the numerator p and denominator q become non-fractional whole numbers.
  4. Example: 0.3¯=13

Hence, the given statement is true.


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