The difference between compatible numbers and estimation is that in estimation you round to the nearest ten or hundred most of the time. Compatible numbers are numbers that are easy to compute mentally.
Some examples of compatible numbers when doing division are 400 and 10, 36 and 6, 2400 and 12, and 64 and 8
2400 and 12 are compatible because when doing this division (2400/12), we can quickly divide 24 by 12 to get 2 and put two zeros at the end to get 200
Some examples of compatible numbers when doing multiplication are 200 and 40, 1100 and 40, 25 and 4.
1100 and 40 are compatible because we can quickly do this multiplication by multipling 11 and 4 to get 44 and add three zeros at the end to get 44000
Hope this helps!
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Rounding is going to the nearest tens, hundreds, thousands etc., depending on the problem. Compatible numbers are numbers the work well with each other. Both of these are estimating.
rounding numbers is to nearest ten or hundred and compatible numbers are when you can do nearest 5
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When estimating with compatible numbers, you look for numbers that are close to the original values but easier to work with. For 231, you could round it to 200 to simplify calculations. So, when using compatible numbers, 231 would be estimated to 200.
If I were multiplying I would like to round to tens so I can "annex" the zeroes. If I were adding I would like numbers that would equal 0 like 3+7 or 5+5 or 2+8. They are compatible numbers.