Question

1. solve each problem. give your answers to the correct number of significant figures and in scientific notation.

a. 8.3 meters × 2.22 meters
b. 8432 meters² ÷ 12.5 meters
c. 35.2 seconds × 1 minute / 60 seconds

Explanation:

Step1: Calculate 8.3×2.22

$8.3\times2.22 = 18.426$. Since 8.3 has 2 significant - figures, the result should be rounded to 2 significant - figures. Rounding 18.426 to 2 significant - figures gives 18. In scientific notation, it is $1.8\times10^{1}$ square meters.

Step2: Calculate 8432÷12.5

$8432\div12.5 = 674.56$. Since 12.5 has 3 significant - figures, the result should be rounded to 3 significant - figures. Rounding 674.56 to 3 significant - figures gives 675. In scientific notation, it is $6.75\times10^{2}$ meters.

Step3: Calculate 35.2×(1/60)

$35.2\times\frac{1}{60}=\frac{35.2}{60}\approx0.5867$. Since 35.2 has 3 significant - figures, the result should be rounded to 3 significant - figures. Rounding 0.5867 to 3 significant - figures gives 0.587. In scientific notation, it is $5.87\times10^{-1}$ minutes.

Answer:

a. $1.8\times10^{1}$ m²
b. $6.75\times10^{2}$ m
c. $5.87\times10^{-1}$ min