Question

Define the following & Give examples

i)Rational &Irritational numbers

ii) Terminating & Non terminating decimal expansions




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Answer 1

Answer:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers.

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. ... Non terminating decimals: Non terminating decimals are those which keep on continuing after decimal point (i.e. they go on forever).

Answer 2

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.....