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The length, L, of a steel rod is 7.3 m, correct to 1 decimal place.

Complete the error interval for length L.

1 Answer

2 votes

Answer:

[7.25, 7.35)

Explanation:

The least significant digit is in the tenths place. The error can be as much as half of one tenth, or 0.05.

The lower bound is ...

7.3 - 0.05 = 7.25 . . . . . error subtracted from value

The upper bound is ...

7.3 + 0.05 = 7.35 . . . . . error added to value

Since 7.35 is rounded up to 7.4, the maximum value of L must be less than that.

7.25 ≤ L < 7.35 . . . meters

_____

In many cases, the upper bound on L is taken to be exactly 7.35. For all practical purposes it is. If you're asked for upper and lower limits, you'd have to say they are 7.35 and 7.25 m, respectively.

User Alerya
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