Question

multiply or divide the following measurements. be sure each answer you enter contains the correct number of significant digits.
0.934 $\frac{mol}{l}$ × 1.65 l = mol
714.1 mol ÷ 0.64 l = $\frac{mol}{l}$
952.5 g ÷ 82.9 ml = $\frac{g}{ml}$

Explanation:

Step1: Multiply the first set of values

$0.934\times1.65 = 1.5411$. For multiplication and division of measurements, the result should have the same number of significant digits as the measurement with the fewest significant digits. 0.934 has 3 significant digits and 1.65 has 3 significant digits. Rounding 1.5411 to 3 significant digits gives 1.54.

Step2: Divide the second - set of values

$714.1\div0.64=\frac{714.1}{0.64}=1115.78125$. 0.64 has 2 significant digits. Rounding 1115.78125 to 2 significant digits gives 1100 (in scientific notation $1.1\times10^{3}$).

Step3: Divide the third - set of values

$952.5\div82.9=\frac{952.5}{82.9}\approx11.49$. 82.9 has 3 significant digits. Rounding 11.49 to 3 significant digits gives 11.5.

Answer:

1.54 mol
$1.1\times10^{3}\frac{mol}{L}$
11.5 $\frac{g}{mL}$