Without actual division decide which of following rational number have terminating decimal representation . 123/1250
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Answer:
To determine that you have to do prime factorization of denominator if it is in the form of 2 m into 5 power n then it's determinating
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Answer:
0.0984 ⇒ It has terminating decimal representation.
Step-by-step explanation:
123/1250 ⇒123/5⁴ × 2¹
To end with zero the denominator should be in the form of 2ⁿ and 5ⁿ
∴ 123/5⁴ × 2¹ × 2³/2³
= 123 × 2³/5⁴ × 2¹ × 2³
= 984/5⁴ × 2⁴
= 984/10000
= 0.0984
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