To estimate the product of 37 × 24 using compatible numbers, we want to round the numbers to values that are easier to multiply.
Let's analyze the options:
- 35 × 30: 35 is close to 37, and 30 is a reasonable round number for 24. This is a good option.
- 40 × 30: 40 is a round number that is slightly higher than 37, but 30 is acceptable. This is a reasonable option too.
- 40 × 25: 40 is still above 37, but 25 is lower than 24. This could work, but it's less precise since we're using a round number that is not close to 24.
- 30 × 30: 30 is lower than both 37 and 24. This is not the best option as it may under-estimate the product significantly.
Considering proximity to the original numbers, 35 × 30 is the best choice as both numbers are close to the originals and make for easier multiplication.
So the best way to use compatible numbers to estimate the product of 37 × 24 is 35 × 30.