Final answer:
To estimate the sum of 8 1/5 and 1 7/16, round 8 1/5 down to 8 and 1 7/16 up to 1.5. Then, add the rounded numbers together to get an estimated sum of 9.5.
Step-by-step explanation:
To estimate the sum of the mixed numbers 8 1/5 and 1 7/16 by rounding them to the nearest half or whole number, we use the following steps:
- Round 8 1/5 to the nearest half or whole number. 8 1/5 is closer to 8 than it is to 8.5, so we round it down to 8.
- Round 1 7/16 to the nearest half or whole number. 1 7/16 is closer to 1.5 than it is to 1, so we round it up to 1.5.
- Add the rounded numbers together. 8 + 1.5 equals 9.5.
Therefore, by rounding each mixed number to the nearest half or whole number, the estimated sum of 8 1/5 and 1 7/16 is 9.5.