Is .625 percent of a percent more than .005 percent?

Answer 1

Answer: Yes, .625% of a % is greater than .005 %

Solution:

.625% of a percent = .625% * 1% = .625 / 100 * (1 / 100) = 0.00625 * .01 = 0.0000625

.005% = .005/100 = .00005

0.0000625 > 0.00005

The easy way to determine which converted number is larger is to align them as follows & look to see which number is greater:

0.0000625

0.00005

As you can see above, 6 is greater than 5, which means the upper number is greater than the lower number.

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An easier way to convert .625% of 1% is to count the number of % characters & then know each % represents 2 digits. In this case .625% of 1% means you have 4 decimal places. So you just move the decimal place of .625, 4 decimal places to the left as in .625 converts to .0000625. Since there is only 1 % associated with the .005 number, you just have to move the decimal place 2 digits to the left as in .005 converts to .00005. Then line up your numbers as shown above and you should be able to easily see which number is larger.