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Q: How does one estimate a quotient using compatible numbers?

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70.013

6.9877

Estimate 43/81 by using compatible numbers

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!

i think it is 28x26

0.0112

23.3043

119.3333

94

300 + 60

77

280 + 500 = 780

That equals 559. If you have to, estimate 210 + 350 = 560

2.6952

568-342 using compatible numbers = 226

Not in this case.

0.0563

4.9048

535.6 divided by 35 using compatible numbers = 15.302857142857144

You can check by using your estimated number and comparing it with your exact quotient.

100+500=600

Compatible numbers would be easier. Rounding gives you 14 x 47. Compatible numbers could be 13 x 50 which would be closer to the actual product.

If you know the number is 7128 I do not understand why on earth anyone would want to estimate it!

It means that you round each number to one, one half, or zero

720/8 = 90

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