Question

multiply or divide the following measurements. be sure each answer you enter contains the correct number of significant digits.
372.8 g ÷ 0.64 ml = □ g/ml
804.12 mol ÷ 85.6 l = □ mol/l
0.934 cm × 3.825 cm = □ cm²

Explanation:

Step1: Calculate \(372.8\div0.64\)

When dividing, the result should have the same number of significant figures as the measurement with the fewest significant figures. \(372.8\) has 4 significant figures and \(0.64\) has 2 significant figures.

$$372.8\div0.64 = 582.5\approx580$$

Step2: Calculate \(804.12\div85.6\)

\(804.12\) has 5 significant figures and \(85.6\) has 3 significant figures.

$$804.12\div85.6=9.394859813\approx9.39$$

Step3: Calculate \(0.934\times3.825\)

When multiplying, the result should have the same number of significant figures as the measurement with the fewest significant figures. \(0.934\) has 3 significant figures and \(3.825\) has 4 significant figures.

$$0.934\times3.825 = 3.57255\approx3.57$$

Answer:

\(580\frac{g}{mL}\), \(9.39\frac{mol}{L}\), \(3.57cm^{2}\)