Question

Without actual division show that each of the rational numbers given below is expressible as a terminating decimal ex:17/20,44/125,9/8,123/200,129/320,431/500,807/1250 answer give me a answer

Answer 1

If we can represent the denominator of each fraction in terms of powers of 2 and 5 then the fraction will be terminating.

For Example : 17/20 , denominator "20" can be written as 5 x 2^2 .

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Answer 2

it's very easy

11/16=2^8

17/20=2^1×5^2

44/125=5^25

9/80=2^4×5^2

123/200=2^4×5^5

129/320=2^16×5^2

431/500=2^5×5^10

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