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Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:13/3125

Pawan Prajapati , 3 Years ago
Grade 12
anser 1 Answers
Harshit Singh

Last Activity: 3 Years ago

Dear Student

Factorizing the denominator, we get,
3125 = 5 × 5 × 5 = 5^5
Since, the denominator has only 5 as its factor, 13/3125 has a terminating decimal expansion.

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