Question

multiply or divide the following measurements. be sure each answer you enter contains the correct number of significant digits.
418.8 m ÷ 0.36 s = (\frac{m}{s})
7.8084 cm × 4.225 cm = (cm^{2})
133.0 g ÷ 0.55 ml = (\frac{g}{ml})

Explanation:

Step1: Calculate 418.8 m÷0.36 s

When dividing, the result should have the same number of significant - digits as the number with the fewest significant digits in the values being divided. 0.36 has 2 significant digits. $418.8\div0.36=\frac{418.8}{0.36}=1163.33\cdots\approx1.2\times10^{3}\text{ m/s}$

Step2: Calculate 7.8084 cm×4.225 cm

When multiplying, the result should have the same number of significant digits as the number with the fewest significant digits in the values being multiplied. 4.225 has 4 significant digits. $7.8084\times4.225 = 7.8084\times4.225=33.09949\approx33.10\text{ cm}^2$

Step3: Calculate 133.0 g÷0.55 mL

0.55 has 2 significant digits. $133.0\div0.55=\frac{133.0}{0.55}=241.818\cdots\approx2.4\times10^{2}\text{ g/mL}$

Answer:

$1.2\times10^{3}\text{ m/s}$
$33.10\text{ cm}^2$
$2.4\times10^{2}\text{ g/mL}$