Q2 of 54 Page 12

Without performing division, state whether the following rational numbers will have a terminating decimal form or non-terminating, repeating decimal form.


⇒ 23 and 22 57 75 are co-prime.


Now, we have to write the denominator 22 57 75 in the form of 2n5m where, n and m are the non-negative numbers.


23 52


22×5⁷×7⁵


∴ denominator is not of the form 2n5m where, n = 2 and m = 7. Due to one more factor it is not in the form


Thus, is Non-terminating decimal.


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Without performing division, state whether the following rational numbers will have a terminating decimal form or non-terminating, repeating decimal form.

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