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Answer :
The actual length of the trail, rounded to the nearest tenth of a mile as 4.3 miles, is best expressed as 4.3 miles plus an amount that does not round up to 4.4 miles. Therefore, the best expression for the actual length of the trail is 4.3 + 0.05 miles. Therefore correct option is A
To the nearest tenth of a mile, the length of a hiking trail is 4.3 miles. Which best expresses the actual length of the trail?
The key here is understanding how rounding works. If a number is rounded to the nearest tenth, this means:
The actual number can be as small as just under the halfway point to the next lower tenth (4.25 miles in this case).
The actual number could be up to just under the next higher tenth (4.35 miles).
Since 4.3 has been rounded to the nearest tenth, the actual length of the trail could be as long as 4.3499... miles, just short of rounding up to 4.4 miles. So, we're looking for the option that represents this range.
Option A suggests 4.3 + 0.05 miles, i.e., the trail could be up to 4.35 miles, which fits within our range. Therefore, the best expression of the actual length of the trail is 4.3 + 0.05 miles.
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