Final answer:
The best estimate of 112/-27 is -4, which is option A, because 108 divided by 27 is 4, and we take it as negative because we divide by a negative number.
Step-by-step explanation:
The best estimate of 112/-27 is found by performing the division. Given that the dividend is positive and the divisor is negative, the result will also be negative. To get a rough estimate, we can round both numbers to the nearest whole number which is easier to divide in our head: 112 is close to 108, and -27 is close to -27 (no need to round it). So,
- 108 divided by 27 is 4.
- Since the divisor is negative, we make our estimate negative.
- Therefore, the best estimate is -4.
This means that option A: −4 is the best estimate.