What is the decimal form of 313/128000?
Answer and explanation
Correct answer: 0.0024453125
We need to divide 313 by 128000. Since 128000 = 128 × 1000 and 313 ÷ 128 = 2.4453125, division by the additional factor 1000 gives 0.0024453125. The same result follows by long division or by writing 313/128000 and shifting the decimal appropriately. Thus option B is correct. Option A is ten times too large, which corresponds to placing the decimal one position too far to the right. Option C is ten times too small, with one extra zero after the decimal. Option D does not represent the given fraction at all. The denominator has only factors 2 and 5, so a terminating decimal is expected.
Frequently asked questions
What is the correct answer to this question?
0.0024453125
Why is this the correct answer?
We need to divide 313 by 128000. Since 128000 = 128 × 1000 and 313 ÷ 128 = 2.4453125, division by the additional factor 1000 gives 0.0024453125. The same result follows by long division or by writing 313/128000 and shifting the decimal appropriately. Thus option B is correct. Option A is ten times too large, which corresponds to placing the decimal one position too far to the right. Option C is ten times too small, with one extra zero after the decimal. Option D does not represent the given fraction at all. The denominator has only factors 2 and 5, so a terminating decimal is expected.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
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