use compatable numbers to estimate the answers to the following 2 problems. show work

21.98 / 2.56

28.56 / 6.95

21/3 = ?

What compatible number do you think would work for the other problem?

so 21/3 = 7

28 / 7 = 4

Right.

To estimate the answers to the given problems using compatible numbers, we will round the numbers to more manageable values that are easy to divide mentally.

Problem 1: 21.98 divided by 2.56

Step 1: Identify compatible numbers:
Looking at the given numbers, we can round 21.98 to 22 and 2.56 to 3.

Step 2: Perform the estimation:
Divide 22 by 3 mentally. In this case, we get 7 with no remainder.

Therefore, the estimated answer to 21.98 divided by 2.56 is 7.

Problem 2: 28.56 divided by 6.95

Step 1: Identify compatible numbers:
For this problem, we can round 28.56 to 30 and 6.95 to 7.

Step 2: Perform the estimation:
Divide 30 by 7 mentally. In this case, we get 4 with a small remainder.

Therefore, the estimated answer to 28.56 divided by 6.95 is 4 with a small remainder.