Question Video: Estimating the Result of a Subtraction Sentence by Rounding Each Number to the Nearest Hundred

Estimate 3,638 − 361, rounding each number to the hundreds place.

02:23

Video Transcript

Estimate 3,638 take away 361, rounding each number to the hundreds place.

In this question, we have to estimate the difference by rounding each of our numbers to the hundreds place. In other words, we have to round both numbers to the nearest hundred. Let’s start by rounding 3,638. We have to round to the hundreds place. The hundreds digit in our number is a six, worth 600. So we know 3,638 is between 3,600 and 3,700. To help us decide whether to round our number down to 3,600 or up to 3,700, we have to look at the tens digit. It’s a three. We know that three is worth less than five, so we have to round down to 3,600.

Now we have to round 361 to its nearest hundred. The hundreds digit is a three. And that’s worth 300. So we know 361 is between 300 and the next hundred, which is 400. And again, we need to look at the tens digit to help us decide whether to round down to 300 or up to 400. The tens digit is a six. Six is greater than five, so we have to round up to the next hundred, which is 400. Now all we need to do is find the difference between 3,600 and 400. 3,600 subtract 400 is 3,200.

We estimated 3,638 take away 361 by rounding each number to the hundreds place. Then we calculated 3,600 take away 400 to give us our estimate of 3,200.

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