Question

Without actual division state whether decimal form of the following rational numbers are terminating or non terminating repeating decimals number 116 by 125 number 10

Answer 1

166/125

the prime factors of denominator

125=5*5*5

a number has a a terminating decimal expansion when its denominator factors are in form of 2^n or 5^mor both

so 166/125 has a terminating decimal expansion

Step-by-step explanation:

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Answer 2

Answer:

Terminating decimals

Step-by-step explanation:

116/125

In 116/125 the denominator is 125

We have 125 = 5×5×5

Hense, 116/125 must have terminating decimals representation.

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