Question

state whether the following rational numbers are terminating or non terminating repeating decimal 41/75 and 2/11 please correct answer ​

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TbiaSupreme

TbiaSupreme

02.09.2018

Math

Secondary School

+10 pts

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Without actual division, state whether the following rational numbers are terminating or non-terminating, repeating decimals.(i) 16/125 (ii) 25/32 (iii) 100/81 (iv) 41/75

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5.0/5

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Collosus

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299 answers

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I. terminating

2. terminating

3. terminating

4. terminating

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Brainly User

heya...

Here is your answer...

1) 16 / 125 = 2×8/5^3 = 2×2×2×2/5^3

so it is a terminating decimal.

2) 25/32 = 5×5/2×2×2×2×2

so it is a terminating decimal.

3) 100/81 = 10^2/3^4

So it is not a terminating decimal.

4) 41/75 = 41/5×5×3

so it is a terminating decimal.

Expect 3) all are terminating decimals because there denominator is a multiple of 2 or 5.

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