Q. 1 G5.0( 2 Votes )

Without actually

Answer :

Given rational number is

is terminating if

a) p and q are co-prime &

b) q is of the form of 2n 5m where n and m are non-negative integers.

Firstly, we check co-prime

64 = 26

455 = 5 × 7 × 13

64 and 455 have no common factors

Therefore, 64 and 455 are co-prime.

Now, we have to check that q is in the form of 2n5m

455 = 5 × 7 × 13

So, denominator is not of the form 2n5m

Thus, is a non-terminating repeating decimal.

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