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3.Without actually performing the long division , state whether the rational numbers (i) 427/625 (ii) 619/ 325 will have terminating decimal expansion or non- terminating repeating decimal expansion.

3.Without actually performing the long division , state whether the rational numbers (i) 427/625 (ii) 619/ 325 will have terminating decimal expansion or non- terminating repeating decimal expansion.
 

Grade:10

2 Answers

Debarati
105 Points
one year ago
(i) In 427/625, 625 can be expressed as 20×53​. Therefore, 427/625 has a terminating decimal expansion.
(ii) In 619/325, 325 cannot be expressed as 2m×5n. So, 619/325 has a non-terminating decimal expansion.

I hope you understood.
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380 Points
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