### Analysis Exercises - Multiplying and Dividing Numbers

1.
The length of a football field is measured to be 300.01 feet, while the width is measured to be 159.98 feet. How many significant figures will the area of the football field have?
Solution

2.
The length of the above football field (300.01 feet) is converted to yards by dividing by 3 feet/yard. How many significant figures will the length have when it is expressed in inches?
Solution

3.
The length of the football field (300.01 feet) is converted to centimeters by multiplying by 30.5 centimeters/foot. How many significant figures will the length have when it is expressed in centimeters?
Solution

4.
A runner runs the last 45m of a race in 6s. How many significant figures will the runner's speed have?
Hint
Solution

5.
A year is 356.25 days, and a decade has exactly 10 years in it. How many significant figures should you use to express the number of days in two decades?
Solution

### Calculation Exercises - Multiplying and Dividing Numbers

Solve each of the following expressions, and write the answer with the correct number of significant figures.
1.
A = 5.0 yards x 3.5 yards =
Solution

2.
v = 40.0 m 8.9s =
Solution

3.
s = 4.53 cm x 1.341 rad=
Solution

4.
A = (4.320 cm)2 =
Solution

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