Question

multiply or divide the following measurements. be sure each answer you enter contains the correct number of significant digits.
$362.6\\ m\\ \div\\ 79.075\\ s\\ =\\ \frac{m}{s}$
$20.947\\ \frac{mol}{l}\\ \times\\ 50.\\ l\\ =\\ mol$
$20.947\\ \frac{g}{ml}\\ \times\\ 36.\\ ml\\ =\\ g$

Explanation:

First Calculation: \( 362.6\ \text{m} \div 79.075\ \text{s} \)

Step1: Perform the division

\( 362.6\div79.075 \approx 4.5855 \)

Step2: Determine significant digits

The least number of significant digits in the given values is 4 (362.6 has 4, 79.075 has 5). So we round to 4 significant digits.
\( 4.5855 \approx 4.586 \)

Step1: Perform the multiplication

\( 20.947\times50. = 1047.35 \)

Step2: Determine significant digits

1. has 2 significant digits, 20.947 has 5. So we round to 2 significant digits.

\( 1047.35 \approx 1.0\times10^{3} \) (or 1000, but in scientific notation for clarity with significant digits)

Step1: Perform the multiplication

\( 20.947\times36. = 754.092 \)

Step2: Determine significant digits

1. has 2 significant digits, 20.947 has 5. So we round to 2 significant digits.

\( 754.092 \approx 7.5\times10^{2} \) (or 750)

Answer:

\( \frac{\text{m}}{\text{s}} = 4.586 \)

Second Calculation: \( \frac{20.947\ \text{mol}}{\text{L}} \times 50.\ \text{L} \)