Video: Multiplying a Decimal Number by an Integer after Rounding it

Which of the following is the nearest to 5.478 × 1080 upon rounding one of the two numbers to either 10, 100, or 1000? [A] 54.78 [B] 547.8 [C] 5478 [D] 54780 [E] 547800.

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Video Transcript

Which of the following is the nearest to 5.478 times 1080 upon rounding one of the two numbers to either 10, 100, or 1000?

We want to estimate 5.478 times 1080. Our instructions tell us that we only want to round one of the two numbers. And we’ll be rounding one of the two numbers to 10, 100, or 1000.

The first option, 5.478, is not very close to 10, 100, or 1000. It would be more sensible to take the number 1080 and round that value down to 1000. Now, we would have the problem 5.478 times 1000. Multiplying by 1000 means moving the decimal three places to the right. One, two, three. 5.478 times 1000 is equal to 5478.

And when we go back and look at our answer choices, we find 5478.

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