## Define the following & Give examples i)Rational &Irritational numbers ii) Terminating & Non terminating

Question

Define the following & Give examples

i)Rational &Irritational numbers

ii) Terminating & Non terminating decimal expansions

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4 weeks 2021-08-17T22:48:28+00:00 2 Answers 0 views 0

1. 1)

Rational Number : A rational number is the one which can be represented in the form of P/Q where P and Q are integers and Q ≠ 0.

Irrational number : An irrational number cannot be written in the form of simple fractions. ⅔ is an example of rational numbers whereas √2 is an irrational number.

2)

Terminating decimals: Terminating decimals are those numbers which come to an end after few repetitions after decimal point.

Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.

Non terminating decimals: Non terminating decimals are those which keep on continuing after decimal point (i.e. they go on forever). They don’t come to end or if they do it is after a long interval.

For example:

π = (3.141592653589793238462643383279502884197169399375105820974…..) is an example of non terminating decimal as it keeps on continuing after decimal point.

Hope helps you…..

2. 