Question

clasify the decimal expansion of 13/64​

Answer 1

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MATHS

Without actual division, classify the decimal expansion of the following numbers as terminating or non-terminating and recurring.

(i) 167

(ii) 15013

(iii) 75−11

(iv) 20017

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ANSWER

(i) 16=24

167=247=24×507. So, 167 has a terminating decimal expansion.

(ii) 150=2×3×52

15013=2×3×5213

Since it is not in the form 2m×5np,15013 has a non-terminating and recurring decimal expansion.

(iii) 75

Answer 2

13/ 64 is terminating decimal expansion