Question

the mass of a hydrogen atom is about 1.67e-24 grams. the mass of a plutonium atom is about 4.05e-22 grams. how many times more grams is an atom of plutonium than an atom of hydrogen?
a. $2.43 \times 10^2$
b. $2.43 \times 10^{-3}$
c. $2.43 \times 10^3$
d. $2.43 \times 10^{-2}$

Explanation:

Step1: Set up division formula

$\frac{4.05 \times 10^{-22}}{1.67 \times 10^{-24}}$

Step2: Split coefficient and exponent

$\frac{4.05}{1.67} \times \frac{10^{-22}}{10^{-24}}$

Step3: Calculate coefficient division

$\frac{4.05}{1.67} \approx 2.43$

Step4: Calculate exponent division

$10^{-22 - (-24)} = 10^{2}$

Step5: Combine results

$2.43 \times 10^{2}$

Answer:

A. $2.43 \times 10^{2}$