Question

Without actual division, find which of the following fractions are terminating decimals (¡) 9/25
(¡¡) 7/12

Answer 1

Answer:

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Step-by-step explanation:

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For a fraction to be terminating decimal it's denominator should only have powers of 2 or 5.

1. 9/25=9/5×5 ,so it is a terminating decimal
2. 7/12=7/3×2×2, so it is non terminating decimal

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Answer 2

Answer:

(i) 9/25

= 3*3/ 5*5

= 3*3*2*2 / 5*5*2*2

= 36/ 100

= 0.36

It is terminating decimal expansion as it have 10 as denominator.

(ii) 7/12

= 7/ 3*2*2

It is non terminating decimal expansion as it have no factor of 10.