Question

the width of our local galactic group, which includes our very own milky way galaxy and the other 52 galaxies “nearby,” is 4 × 10^22 meters. the estimated width of the universe is roughly 9 × 10^26 meters. about how much wider is the universe than our local galactic group? 4 × 10^22 m local galactic group 9 × 10^26 m universe more than 20,000 times wider more than 50,000 times wider less than 2,000 times wider less than 20,000 times wider

Explanation:

Step1: Set up division formula

We want to find out how many times wider the universe is than the local galactic group. So we divide the width of the universe by the width of the local galactic group. The formula is $\frac{9\times 10^{26}}{4\times 10^{22}}$.

Step2: Use exponent - division rule

According to the rule $\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$, we have $\frac{9}{4}\times10^{26-22}$.

Step3: Calculate the values

$\frac{9}{4}=2.25$ and $26 - 22=4$. So the result is $2.25\times10^{4}=22500$.

Answer:

more than 20,000 times wider