Without actually performing the long division state whether 13/3125and13/343will have a terminating decimal expansion or a non terminating repeating decimal expansion
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1. 13/1325
1325=5× 5× 53= 5^2 × 53^ 1
This cannot be expressed as 2^m× 5^n
So the decimal expansion will be non terminating.
2. 13/343
343= 7×7×7
This cannot be expressed as 2^m× 5^n
So the decimal expansion will be non terminating.
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