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Decimal Expansion of Rational and Irrational Numbers

The decimal r...

Question

The decimal representation of an irrational number is

(a) always terminating

(b) either terminating or repeating

(c) either terminating or nonrepeating

(d) neither terminating nor repeating

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Solution

As per the definition of irrational number

(d) neither terminating nor repeating

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Similar questions

The decimal representation of a rational number is

(a) always terminating (b) either terminating or repeating

(c) either terminating or nonrepeating (d) neither terminating nor-repeating

Q. Write the following rational number in decimal form and also state either it is terminating or non terminating, repeating decimal:

\frac{229}{400}

.

Q. Mark the correct alternative in each of the following:

1. Which one of the following is a correct statement?
(a) Decimal expansion of a rational number is terminating
(b) Decimal expansion of a rational number is non-terminating
(c) Decimal expansion of an irrational number is terminating
(d) Decimal expansion of an irrational number is non-terminating and non-repeating

Q. The decimal representation of

\frac{71}{150}

is
(a) a terminating decimal
(b) a non-terminating, repeating decimal
(b) a non-terminating and non-repeating decimal
(d) none of these

\sqrt{2}

is
(a) a rational number
(b) an irrational number
(c) a terminating decimal
(d) a nonterminating repeating decimal

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