What is obtained by multiplying 0.0078125 by 1000000?
Answer and explanation
Correct answer: 7812.5
The governing concept is multiplication of a terminating decimal by a power of 10. Since 1,000,000 = 10⁶, the decimal point in 0.0078125 moves six places to the right. Counting the shifts gives 0.078125 after one, 0.78125 after two, 7.8125 after three, 78.125 after four, 781.25 after five, and 7812.5 after six shifts. Therefore 0.0078125 × 1,000,000 = 7812.5, so option C is correct. Option A corresponds to moving the point only four places, option B to five places, and option D to seven places or an extra shift. The power-of-ten rule and the explicit place-value count independently confirm the answer.
Frequently asked questions
What is the correct answer to this question?
7812.5
Why is this the correct answer?
The governing concept is multiplication of a terminating decimal by a power of 10. Since 1,000,000 = 10⁶, the decimal point in 0.0078125 moves six places to the right. Counting the shifts gives 0.078125 after one, 0.78125 after two, 7.8125 after three, 78.125 after four, 781.25 after five, and 7812.5 after six shifts. Therefore 0.0078125 × 1,000,000 = 7812.5, so option C is correct. Option A corresponds to moving the point only four places, option B to five places, and option D to seven places or an extra shift. The power-of-ten rule and the explicit place-value count independently confirm the answer.
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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