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I would use compatible numbers to estimate the quotient for 1089 divided by 99 by estimating the numbers first. Then I would use compatible numbers. After I would cancel the zero's,divide, and after put in zero's because if you divide the estimated quotients you will get a whole number. It would be easier to divide compatible number's if the estimated number's will give you number's that divide evenly. If you pick estimates that are close to the number you will get pretty close to your real answer.

Q: How can you use compatible numbers to estimate the quotient for 1089 divided by 99?

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31.8966

70.013

The best way to estimate a quotient using compatible numbers is to first understand how compatible numbers work. They are numbers that are close in value to the actual numbers and are easily added, subtracted or divided.

76.8298

8.6932

6.9877

19.8889

50.0000.000

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23.3043

119.3333

3.8667

0.0112

535.6 divided by 35 using compatible numbers = 15.302857142857144

Estimate 43/81 by using compatible numbers

2.6952

4.9048

Suppose you are asked to evaluate a quotient like 923/462. You have several options. You could choose 900 and 500 as compatible numbers for the two given numbers and then your estimated quotient would be 900/500 = 1.8. Or You could choose 920 and 460 as the compatible numbers for them and then your estimated quotient would be 920/460 = 2.0. So the question is essentially, what compatible numbers did you pick and using them, what was the quotient. There is no correct answer to picking compatible numbers. Any estimation is a trade-off between simplicity and accuracy. Incidentally, a more accurate answer is 1.9978 (approx), but even that is not perfect!

6.9877

0.1511

The quotient will be positive.

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35000 ÷ 70 = 500

0.0563

The answer is the quotient of the divided numbers

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