Question

1. (8.32\times10^{-2}\text{ kg}(\text{——})=\text{—— grams})

Explanation:

Step1: Recall the conversion factor

We know that 1 kg = 1000 g or $1\mathrm{kg}=10^{3}\mathrm{g}$.

Step2: Convert the mass

Multiply the given mass in kg by the conversion - factor.
$8.32\times10^{-2}\mathrm{kg}\times\frac{10^{3}\mathrm{g}}{1\mathrm{kg}}=(8.32\times10^{-2})\times10^{3}\mathrm{g}$.
Using the rule of exponents $a^{m}\times a^{n}=a^{m + n}$, we have $(8.32\times10^{-2})\times10^{3}=8.32\times10^{-2 + 3}=8.32\times10^{1}\mathrm{g}=83.2\mathrm{g}$.

Answer:

83.2