Video: AQA GCSE Mathematics Foundation Tier Pack 3 • Paper 2 • Question 16

Circle the decimal which is equivalent to 0.01%. [A] 0.1 [B] 0.01 [C] 0.001 [D] 0.0001

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Video Transcript

Circle the decimal which is equivalent to 0.01 percent. 0.1, 0.01, 0.001, or 0.0001.

We need to watch out for this really distracting answer choice. Just because we have a 0.01 in front of the percent does not mean that it is equivalent to 0.01. We know that percent is out of 100. And that means 0.01 percent is 0.01 out of 100. At this point, if you have access to a calculator, you can divide 0.01 by 100. And it should give you a decimal number.

But there is also something else we can do. We can multiply this numerator by 100. 0.01 times 100 equals one. And if we multiply it by 100 in the numerator, we need to multiply it by 100 in the denominator. 100 times 100 is 10000. 0.01 percent is the same thing as one ten thousandth.

We know that the first place after the decimal is the tenths place. The second place after the decimal is the hundredths place. The third place after the decimal is the thousandths place. And the fourth place after the decimal is the ten thousandths place.

If we have one out of 10000, we have one ten thousandth, which is the fourth option. And dividing 0.01 by 100 in the calculator would also yield 0.0001.

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