Question

planet a has a mass of 5×10^25 kilograms. planet b has a mass of 9×10^27 kilograms. choose which planet has the larger mass. then fill in the blank with a number written in standard notation. planet a has the larger mass. the mass of planet a is times as large as the mass of planet b. planet b has the larger mass. the mass of planet b is times as large as the mass of planet a.

Explanation:

Step1: Compare the masses

We are given mass of Planet A = $5\times10^{25}$ kg and mass of Planet B=$9\times 10^{27}$ kg. Since $9\times 10^{27}>5\times10^{25}$, Planet B has the larger mass.

Step2: Find the ratio

To find how many times larger Planet B's mass is than Planet A's, we calculate the ratio $\frac{9\times 10^{27}}{5\times10^{25}}$. Using the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$ and $\frac{9}{5}=1.8$, we get $\frac{9\times 10^{27}}{5\times10^{25}}=1.8\times10^{27 - 25}=1.8\times 10^{2}=180$.

Answer:

Planet B has the larger mass. The mass of Planet B is 180 times as large as the mass of Planet A.