Question

planet a has a mass of 5×10^24 kilograms. planet b has a mass of 3×10^27 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 exponents of the scientific - notation numbers

The mass of Planet A is $5\times10^{24}$ kg and the mass of Planet B is $3\times 10^{27}$ kg. Since $27>24$, Planet B has a larger mass.

Step2: Calculate the ratio of the mass of Planet B to Planet A

We use the formula for dividing numbers in scientific - notation $\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$. Here, $a = 3$, $b = 5$, $m=27$, and $n = 24$. So $\frac{3\times10^{27}}{5\times10^{24}}=\frac{3}{5}\times10^{27 - 24}=0.6\times10^{3}=600$.

Answer:

Planet B has the larger mass. The mass of Planet B is 600 times as large as the mass of Planet A.