5. Without actual division, find which of the following rational numbers have terminating decimal expansion.
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Answered by
6
See, first u have to take out the lcm
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1. Hence in this, in the LCM of 128 the factor is only 2, so it's terminating. This situation is possible only when the factors are 2 and 5. U have to take the LCM of only denominators.
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1. Hence in this, in the LCM of 128 the factor is only 2, so it's terminating. This situation is possible only when the factors are 2 and 5. U have to take the LCM of only denominators.
Answered by
5
Given 7/128
= 7/2^7
= 7/( 2^7 × 5^0 )
is a terminating decimal .
Since , denominator is in the form
of 2^n × 5^m.
••••
= 7/2^7
= 7/( 2^7 × 5^0 )
is a terminating decimal .
Since , denominator is in the form
of 2^n × 5^m.
••••
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