Without actual division, show that each of the rational numbers given below is expressible as a terminating decimal :(i) 11/16 (ii) 17/20 (iii) 44/125 (iv) 9/80 (v) 123/200 (vi) 129/320 (vii) 431/500 (viii) 807/1250

Question

KnowledgeBoat · Accepted Answer

(i) The given number is . Its denominator is . Thus, the denominator of has no prime factor other than 2. ∴ is expressible as a terminating decimal. (ii) The given number is . Its denominator is . Thus, the denominator of has no prime factor other than 2 and 5. ∴ is expressible as a terminating decimal. (iii) The given number is . Its denominator is . Thus, the denominator of has no prime factor other than 5. ∴ is expressible as a terminating decimal. (iv) The given number is . Its denominator is . Thus, the denominator of has no prime factor other than 2 and 5. ∴ is expressible as a terminating decimal. (v) The given number is . Its denominator is . Thus, the denominator of has no prime factor other than 2 and 5. ∴ is expressible as a terminating decimal. (vi) The given number is . Its denominator is . Thus, the denominator of has no prime factor other than 2 and 5. ∴ is expressible as a terminating decimal. (vii) The given number is . Its denominator is . Thus, the denominator of has no prime factor other than 2 and 5. ∴ is expressible as a terminating decimal. (viii) The given number is . Its denominator is . Thus, the denominator of has no prime factor other than 2 and 5. ∴ is expressible as a terminating decimal.

Mathematics

Without actual division, show that each of the rational numbers given below is expressible as a terminating decimal :(i) 11/16 (ii) 17/20 (iii) 44/125 (iv) 9/80 (v) 123/200 (vi) 129/320 (vii) 431/500 (viii) 807/1250

Rational Numbers

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