Light travels at 3.0x10^8 meters/seconds. A light-year is the distance light travels in one year. Given that there are 3.15x10^7 seconds in one year, how many meters are in a light year?

(3.0*10^8)(3.15*10^7) = 9.45*10^15

9.45*10^15

To find the distance in meters in a light-year, we need to multiply the speed of light by the number of seconds in a year.

Given:
Speed of light = 3.0x10^8 meters/second
Number of seconds in a year = 3.15x10^7 seconds

Step 1: Multiply the speed of light by the number of seconds in a year.
Distance in a light-year = Speed of light x Number of seconds in a year

Distance in a light-year = (3.0x10^8 meters/second) x (3.15x10^7 seconds)

Step 2: Multiply the numerical values.
Distance in a light-year = (3.0 x 3.15) x (10^8 x 10^7) meters

Distance in a light-year = 9.45 x 10^15 meters

Therefore, there are approximately 9.45x10^15 meters in a light-year.