Video: Estimating Quotients Using Compatible Numbers: Four-Digit-by-One-Digit Division

We can use facts we know to estimate quotients. Pick the division fact that would give you the best estimate of 4812 ÷ 7. Solve the division from the first part to finish the sentence: 4812 ÷ 7 is about _. [A] 3500 ÷ 7 [B] 4200 ÷ 7 [C] 4900 ÷ 7 [D] 5600 ÷ 7 [E] 6300 ÷ 7.

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Video Transcript

We can use facts we know to estimate quotients. Pick the division fact that would give you the best estimate of 4812 divided by seven. Solve the division from the first part to finish the sentence 4812 divided by seven is about blank.

For the first part of this problem, we need to choose one of these five options that will help us divide 4812 by seven. The best option would be to choose the closest value to 4812. 4812 falls between 4200 and 4900. We can eliminate the other three options.

Now we need to decide is 4812 closer to 4200 or 4900. The eight in the hundreds place is closer to 4900 than 4200. That means we can use 4900 divided by seven to help us more quickly estimate 4812 divided by seven. The first thing we do is divide 49 by seven. 49 divided by seven equals seven. After that, we just carry the two remaining zeros over. 4900 divided by seven equals 700. The best estimate we can give is to say 4812 divided by seven is about 700.

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