Question

Galaxy A has 8 × 10^8 stars. Galaxy B has 6 x 10^10 stars. Choose which galaxy has more stars. Then fill in the blank with a number written in standard notation.

Answer 1

Given:

Galaxy A has 8 × 10^8 stars. Galaxy B has 6 x 10^10 stars.

We will write the numbers multiplied by ten raised to the same exponent

so,

$\begin{gathered} 8\times10^8=8\times10^8 \\ 6\times10^{10}=6\times100\times10^8=600\times10^8 \end{gathered}$

now, we will compare the numbers: 8 and 600

It is clear 600 is greater than 8

so, the answer will be option Galaxy B

Divide the number of stars of B by A

So,

$\frac{6\times10^{10}}{8\times10^8}=\frac{600\times10^8}{8\times10^8}=\frac{600}{8}=75$

Galaxy B has 75 times as many stars as Galaxy A