Final answer:
The range for the value of m-n given rounded values of m (48.2) and n (6.7) to the nearest tenth is between 41.4 and 41.6.
Step-by-step explanation:
The question pertains to the calculation of the range for the difference m-n given that m and n have both been rounded to the nearest tenth. Rounded to the nearest tenth, m is 48.2 and n is 6.7. When a number is rounded to the nearest tenth, the original number can be anything in the range of plus or minus 0.05 from the rounded value. Hence, the number m could vary from 48.15 (48.2-0.05) to 48.25 (48.2+0.05), while n could vary from 6.65 (6.7-0.05) to 6.75 (6.7+0.05). To find the bounds of m-n, we subtract the smallest possible value of n from the largest value of m to find the upper bound, and the largest possible value of n from the smallest possible value of m to find the lower bound.
For the upper bound of m-n we have: 48.25 - 6.65 = 41.6.
For the lower bound of m-n we have: 48.15 - 6.75 = 41.4.
Therefore, the range for the value of m-n, given the rounding, is between 41.4 and 41.6.