When (0.00075) is compared with (0.075), how many times is (0.075)?
Answer and explanation
Correct answer: 100 times
To find the ratio, divide the larger number by the smaller number: \(0.075 \div 0.00075 = 100\). Therefore, \(0.075\) is 100 times \(0.00075\). The 10-times option is incorrect because the ratio is determined by the quotient, not merely by counting the visible decimal places. Exam tip: Express both decimals with a common place value; \(0.075 = 75000\times10^{-6}\) and \(0.00075 = 750\times10^{-6}\), giving a ratio of 100.
Frequently asked questions
What is the correct answer to this question?
100 times
Why is this the correct answer?
To find the ratio, divide the larger number by the smaller number: \(0.075 \div 0.00075 = 100\). Therefore, \(0.075\) is 100 times \(0.00075\). The 10-times option is incorrect because the ratio is determined by the quotient, not merely by counting the visible decimal places. Exam tip: Express both decimals with a common place value; \(0.075 = 75000\times10^{-6}\) and \(0.00075 = 750\times10^{-6}\), giving a ratio of 100.
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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