Write two sets of compatible numbers

for each. Then give two possible estimates.

56 divide by 413

71 divide by 580

To find compatible numbers, we look for numbers that are close to the given numbers and are easy to work with mathematically.

For the first division problem, 56 divided by 413, we can choose the compatible numbers as follows:

Compatible numbers:
- Set 1: 50 and 400
- Set 2: 60 and 420

Possible estimates:
- Estimate 1: Using Set 1, we can estimate 56 divided by 413 to be close to 50 divided by 400, which is approximately 0.125.
- Estimate 2: Using Set 2, we can estimate 56 divided by 413 to be close to 60 divided by 420, which is approximately 0.143.

For the second division problem, 71 divided by 580, we can choose the compatible numbers as follows:

Compatible numbers:
- Set 1: 70 and 600
- Set 2: 80 and 560

Possible estimates:
- Estimate 1: Using Set 1, we can estimate 71 divided by 580 to be close to 70 divided by 600, which is approximately 0.117.
- Estimate 2: Using Set 2, we can estimate 71 divided by 580 to be close to 80 divided by 560, which is approximately 0.143.

Remember, these estimates are rough approximations and may not be exact, but they can help in getting a sense of the quotient of the given division problems.