Exercise 1 Page 124

a We want to determine whether the length is a more precise measurement than the width. To do so, let's recall an important definition.

Precisionis the level of detail of a measurement, determined by the smallest unit that can be measured. The length is measured as 24.25 feet, and thus it is given to the nearest hundredth. The width is measured as 16.4 feet, and thus it is given to the nearest tenth. Therefore, the length is the more precise measurement and hence the statement is correct.

b We want to determine whether the area of the room should be given with three significant digits. To do so, we will first recall an important concept.

Theproductmust have no more significant digits than the least precise measurement. The length is measured as 24.25 feet and the width is measured as 16.4 feet. Thus, the least precise measurement is 16.4 feet, with three significant digits. Therefore, the area should be also given with three significant digits, and hence the statement is correct.

c We want to determine whether the perimeter of the room should be given with four significant digits. To do so, we will first recall an important concept.

Thesummust be rounded to the same place value as the last significant digit of the least precise measurement. The length is measured as 24.25 feet and the width is measured as 16.4 feet. Thus, the least precise measurement is 16.4 feet. Therefore, the perimeter should be also given to the nearest tenth, and hence the statement is not correct.

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Exercises p.124

Exercise 1 Page 124

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