Q. 1

# A number having non-terminating and recurring decimal expansion is –A. an integerB. a rational numberC. an irrational numberD. a whole number

By definition, a rational number is one which follows either of the following 2 conditions:

1. It can be expressed in form where p and q are integers (q 0).

2. Its decimal expansion is either terminating or non-terminating recurring.

Ex. – 0.35 (terminating decimal expansion) Rational number

0.7777…. = (non-terminating but recurring i.e. the number does not terminate but its digits follow a pattern.) Rational number

π = 3.14…… (Non-terminating non recurring) Irrational number

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