Question

Without actually performing division , state whether 21/14 will have terminating or repeating decimal expansion ?
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Answer 1

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Answer;

First factorize 14 using prime numbers

We get,

7 | 14

2 | 2

| 1

Therefore 14 = 2×7

21 3 × 7

— = ————

14 2 × 7

We cannot express 14 in the form of 2^n5^m

Hence 21/14 has a non terminating decimal expansion.

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