Question

multiply or divide the following measurements. be sure each answer you enter contains the correct number of significant digits. 133.93 m ÷ 72.7 s = □ m/s 78.08 cm × 85. cm = □ cm² 112.2 g ÷ 0.33 ml = □ g/ml

Explanation:

Step1: Solve \(133.93\div72.7\)

When dividing, the result should have the same number of significant figures as the measurement with the fewest significant figures. \(133.93\) has 5 significant figures and \(72.7\) has 3 significant figures.

$$133.93\div72.7=\frac{133.93}{72.7}\approx1.84$$

Step2: Solve \(78.08\times85\)

When multiplying, the result should have the same number of significant figures as the measurement with the fewest significant figures. \(78.08\) has 4 significant figures and \(85\) has 2 significant figures.

$$78.08\times85 = 78.08\times8.5\times10=(78.08\times8.5)\times10=(663.68)\times10 = 6600$$

(rounded to 2 significant figures)

Step3: Solve \(112.2\div0.33\)

When dividing, \(112.2\) has 4 significant figures and \(0.33\) has 2 significant figures.

$$112.2\div0.33=\frac{112.2}{0.33}\approx340$$

Answer:

\(1.84\frac{m}{s}\), \(6600cm^{2}\), \(340\frac{g}{mL}\)