the mass of the sun is approximately 1.99×10^30 kg. in comparison, the mass of the earth is a mere…
the mass of the sun is approximately 1.99×10^30 kg. in comparison, the mass of the earth is a mere 5.97×10^24 kg. about how much greater is the mass of the sun than the mass of the earth? the mass of the sun is about times as great as that of the earth.
Answer
Explanation:
Step1: Set up the division formula
To find out how many times the mass of the Sun is greater than the mass of the Earth, we divide the mass of the Sun by the mass of the Earth. Let $M_s = 1.99\times10^{30}$ kg be the mass of the Sun and $M_e=5.97\times 10^{24}$ kg be the mass of the Earth. The formula is $\frac{M_s}{M_e}=\frac{1.99\times 10^{30}}{5.97\times 10^{24}}$.
Step2: Use the rule of exponents for division
According to the rule $\frac{a\times10^m}{b\times10^n}=\frac{a}{b}\times10^{m - n}$, we have $\frac{1.99}{5.97}\times10^{30 - 24}$. $\frac{1.99}{5.97}\approx0.333$ and $30-24 = 6$, so it is $0.333\times10^{6}$.
Step3: Convert to scientific - notation
$0.333\times10^{6}=3.33\times 10^{5}$.
Answer:
$3.33\times 10^{5}$