which of the following rational number is expressible as a terminating decimal optional A 124 upon 165 B 131 upon 30 C 2027 upon 625 D 1625 upon 462
Answers
2027 / 625 = 3.2432 is expressible as a terminating decimal
Step-by-step explanation:
rational number is expressible as a terminating decimal
if in simplest form Denominator has only factor of 2 & 5
124 /165
124 = 2 * 2 * 31
165 = 3 * 5 * 11
has factor of 3 & 11 also so not expressible as a terminating decimal
131/30
30 = 2 * 3 * 5
has factor of 3 also so not expressible as a terminating decimal
2027 / 625
625 = 5 * 5 * 5 * 5
has factor of 5 only so expressible as a terminating decimal
1625/462
462 = 2 * 3 * 7 * 11
has factor of 3 , 7 , 11 also so not expressible as a terminating decimal
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2027/625 has a terminating decimal because it's denominator is in the form of 2^m or 5^n
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