How do you know that 8100 and 90 are not the best compatible numbers to use when estimating the quotient of 9269 divided by 88?

Answer 1

First of all, the two numbers are quite a long way from the ones whose quotient you are trying to estimate.

Also, 8100 is smaller than 9269 so your estimate is going to be smaller than the actual value. And then 90 is bigger than 88 and is the denominator. This will make the estimate smaller still.

Both the compatible numbers selected will reduce the stimate. They should be selected so that the effect of one acts in the opposite direction to that of the other.

So, if you must use 8100, the select the second number which is smaller than 88. Or, if you must use 90, the other number should be greater than 9269.