Rounding involves adjusting a number to a nearby value that is easier to work with, typically to a specific place value, such as rounding 47 to 50. Compatible numbers, on the other hand, are numbers that are chosen to make mental calculations easier and are often used in estimation; for example, using 50 and 20 instead of 47 and 19. While rounding aims for simplicity by reducing specificity, compatible numbers focus on creating numbers that are easy to manipulate in calculations. Both techniques are useful for estimation but serve different purposes in simplifying numbers.
no actually
15.75
9 + 63 = 72 lbs.
the purpose of rounding numbers is that you can get closer to the actual answer
rounding whole numbers and decimals
rounding numbers is to nearest ten or hundred and compatible numbers are when you can do nearest 5
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.
50.0000.000
Not necessarily. Take this example: 89 ÷ 44 The rounding rules are clear. 89 goes to 90, 44 goes to 40, 90 ÷ 40 = 2.25 Compatible numbers can be altered by the relationships between them. 89 is close to 90, 44 is close to 45, 90 and 45 have a relationship that is easy to compute. 90 ÷ 45 = 2 In this case, the estimate provided by compatible numbers is closer to the real total than the one provided by rounding.
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.
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.
no actually
Not in this case.
Rounding the weights to 10 lb and 60 lb gives an estimated total weight of 70 lb. Using compatible numbers by rounding to 9 lb and 60 lb, the estimated total weight is 69 lb. The estimate using compatible numbers (69 lb) is closer to the actual total weight of 71.6 lb.
15.75
9 + 63 = 72 lbs.
Rounding is closer because the amount added to one number is the same as the amount subtracted from the other number which makes the answer match exactly.