Chapter 2.10, Problem 18P

A measurement is given. Find the minimum and maximum possible measurements.

Fencing sections come in lengths of $8\text{ft}$ to the nearest foot.

To determine

Tofind:the maximum and minimum possible measurements.

Answer to Problem 18P

Minimum measurement =7.5 ft and maximum measurement =8.5 ft

Explanation of Solution

Given information: Fencing sections come in lengths of 8 ft to the nearest foot

Calculation:

The degree of accuracy is half a unit of measure.

The measurement was made to the nearest foot, so the greatest possible error is half of 1 ft that is 0.5 ft.

Therefore,

Minimum measurement $=\left(8-0.5\right)\text{ ft }=7.5\text{ ft}$

Maximum measurement $=\left(8+0.5\right)\text{ ft }=8.5\text{ f}t$