Video: Rounding the Result of Subtracting Decimal Numbers to the Nearest Hundredth

29.589 − 27.7 ≈ _ to the nearest hundredth.


Video Transcript

29.589 minus 27.7 and is approximately blank to the nearest hundredth.

Our first step to do this subtraction is line up these two values vertically so that their decimal points are lined up. This ensures that we’ve correctly lined up the units from each value, the ones with the ones place, the tenths with the tenths place, and so on. And then we need to rewrite 27.7 with two additional zeros as placeholders. 27.7 is the same thing as 27.700.

After we do this, we’re ready to subtract. Nine minus zero equals nine. Eight minus zero equals eight. But when we get to the tenths place, we’re trying to subtract seven from five. And that’s not possible. So we need to borrow from the ones place. We have nine ones. If we take one of those away, we’ll have eight ones. And instead of having five tenths, we would then have 15 tenths. And that means we could subtract seven from 15. 15 minus seven equals eight.

As we move to the left, we stop to bring down our decimal point. Now we have eight minus seven in the ones place, which is one, and two minus two in the tens place, which is zero. And so we found the difference between these two values to be 1.889, one and eight hundred eighty-nine thousands.

But our job is to round to the nearest hundredth. And the hundredth place is two places to the right of the decimal point. In order to round to the nearest hundredth, we look to the digit after that. We look to the digit in the thousandths place. Because that’s a nine and it’s greater than five, we need to round the hundredths place up. The eight in the hundredths place becomes a nine, and everything to the left of the hundredths place stays the same. And so 29.589 minus 27.7 rounded to the nearest hundredth is one and eighty-nine hundredths, 1.89.

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