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without actually performing the long division state whether the following rational number will have terminating decimal or non terminating repeating decimal of 15/1600

Posted by Mahaswi Shankar 5 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Alen Mathew 5 years, 3 months ago

It will have a terminating decimal expansion as the prime factorization of 1600 will have 2 and 5 as its factors

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Niharika Raj 5 years, 3 months ago

It is Terminating decimal expansion because the prime factorisation of 1600 is in the form of 2^n and 5^m...... I hope this will helpful

1Thank You

Student ✍️✍️✍️ 5 years, 3 months ago

factor of 15 is 3 into 5 & 1600=2×2×2×2×2×2×5×5 so yes it is a terminating as the denominator is in the form of2n×5m

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CBSE > Class 10 > Mathematics