Question

The decimal expansion of the rational number 79/2^3*5^4 will terminate after how many places of decimal

Answer 1

Answer:

note that ,in the given rational number,if the denominator is expressible in the form of (2^m+5^n) ,then the rational number is terminating.

there also ,in the rational number;

79/2^3*5^4,

the denominator is in the form of;

2^m×5^n.

thus it is a terminating decimal.

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