Question

question 8
our galaxy, the milky way, has a diameter of about 1×10^21 meters. the largest galaxy known to man, the ic 1101, has a diameter of 5×10^22 meters. the diameter of the ic 1101 is about how many times greater than the diameter of the milky way?
milky way: 1×10^21 m ic 1101: 5×10^22 m
500 50
5,000 5

Explanation:

Step1: Set up the ratio

To find out how many times greater the diameter of IC 1101 is than the Milky - Way, we divide the diameter of IC 1101 by the diameter of the Milky - Way. The diameter of IC 1101 is $5\times10^{22}$ m and the diameter of the Milky - Way is $1\times10^{21}$ m. So the ratio is $\frac{5\times 10^{22}}{1\times 10^{21}}$.

Step2: Use exponent rules for division

When dividing numbers in scientific notation of the form $\frac{a\times10^{m}}{b\times10^{n}}$, we divide the coefficients ($\frac{a}{b}$) and subtract the exponents ($m - n$). Here, $a = 5$, $b = 1$, $m = 22$, and $n = 21$. $\frac{5}{1}\times10^{22 - 21}=5\times10^{1}=50$.

Answer:

50