To estimate the results for the given division problems using compatible numbers, we look for numbers that are easier to work with and close to the actual numbers. Here’s the estimation for each problem:
-
287 ÷ 42: We can round 287 to 280 and 42 to 40 because these numbers are capable and make the division easier to compute.
- Estimate: \(280 ÷ 40 = 7\)
-
2491 ÷ 48: We can round 2491 to 2480 and 48 to 50.
- Estimate: \(2480 ÷ 50 = 49.6\) (approximately 50)
-
412 ÷ 84: We can round 412 to 420 and keep 84 as it is since it's nearby multiples of 12 (7 to 84).
- Estimate: \(420 ÷ 84 = 5\)
-
335 ÷ 61: We can round 335 to 330 and use 60 as a compatible number.
- Estimate: \(330 ÷ 60 = 5.5\) (approximately 5)
So, the estimated answers are:
- 7
- 50
- 5
- 5