Without actually performing the long division, find if 987/10500 will have terminating or non-terminating repeating decimal expansion. Give reasons for your answer.

Question

KnowledgeBoat · Accepted Answer

GCD of numerator and denominator is 21. Reducing the number to its lowest form: Prime factorization of denominator 500: 500 = 2 x 2 x 5 x 5 x 5 = 2² x 5³ Denominator is of the form 2^m x 5ⁿ, where m, n are non-negative integers. ∴ The given number has a terminating decimal expansion.

Mathematics

Without actually performing the long division, find if 987/10500 will have terminating or non-terminating repeating decimal expansion. Give reasons for your answer.

Rational Irrational Nos

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