Video: Subtracting Decimal Numbers from Fractions Then Rounding the Answer

Find the difference between 0.9357 and 2637/10000. Round your answer to the nearest hundredth.

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Video Transcript

Find the difference between 0.9357 and 2637 over 10000. Round your answer to the nearest hundredth.

Our first step is to turn both of the numbers into either decimals or fractions. As we need to give our answer to the nearest hundredth, it is sensible to convert the fraction into a decimal. The fraction 2637 over 10000 is the same as 2637 divided by 10000, as the line in a fraction means divide. When we divide by 10, all of our digits move one place to the right. Therefore, when we divide by 10000, all the digits move four places to the right. The number of zeros corresponds to the number of places our digits need to move. 2637 divided by 10000 is equal to 0.2637.

We need to find the difference between 0.9357 and 0.2637. Therefore, we need to subtract the numbers. One way of doing this is using column subtraction. Seven minus seven is equal to zero. Five minus three is equal to two. We can’t subtract six from three, so we need to go to the tenths column and borrow one. 13 minus six is equal to seven. And finally, eight minus two is equal to six.

0.9357 minus 0.2637 is equal to 0.6720. The zero at the end is irrelevant. So, we have 0.672. As we need to round our answer to the nearest hundredth, we need to round it to two decimal places. The number after this point is a two, which means we will round down. 0.672, to the nearest hundredth, is 0.67. This means that the difference between 0.9357 and 2637 over 10000 is 0.67, to two decimal places.

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