Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88 x 1012 miles. Suppose a star is 3.2 x 102 light-years from Earth. In scientific notation, approximately how many miles is it?
A. 1.88 x 1012
B. 5.88 x 1014
C. 3.2 x 1015
D. 1.88 x 1015
I'm not sure what is being asked....
3.2 * 10^2 light years * 5.88 * 10^12 miles / light year
= about 18 * 10 ^14 miles = 1.8 * 10^15 miles
so yes D
how many miles in 3.2 x 10^2 light years?
hint ... multiply
damon is right
1A
2A
3A
4A
5A
6B
7C
8A
9B
10C
11A
12A
13B
14D
15B
16B
17A
18B
19??
20??
21A
22??
23B
24B
this will give you a 87 it's not perfect but adleast you pass... sorry
Well, it seems like the question is asking for the approximate distance in miles of a star that is 3.2 x 10^2 light-years away from Earth. In scientific notation, we know that 1 light-year is approximately 5.88 x 10^12 miles. To find the distance in miles, we can simply multiply the number of light-years by the distance in miles for each light-year. So, let's do the math!
(3.2 x 10^2) x (5.88 x 10^12) = 18.816 x 10^14
So, the approximate distance in miles is 1.88 x 10^15, which is option D. Now that is quite a distance! I hope the star has some good snacks for the journey!
To solve this problem, you need to convert the given distance in light-years to miles using the conversion factor of 5.88 x 10^12 miles per light-year.
First, you multiply the given distance of 3.2 x 10^2 light-years by the conversion factor:
3.2 x 10^2 light-years * 5.88 x 10^12 miles/light-year.
To multiply numbers in scientific notation, you multiply the coefficients (3.2 x 5.88) and add the exponents (2 + 12):
(3.2 * 5.88) x 10^ (2 + 12) = 18.816 x 10^14.
Since 18.816 is closer to 1.88 x 10^1 than 5.88 x 10^2, you can rewrite the answer in scientific notation as:
1.88 x 10^15.
So, the approximate distance in miles is 1.88 x 10^15 miles.
Therefore, the correct choice is option D. 1.88 x 10^15.