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Light travels at an approximate rate of 1.9 x 10^5 mi./sec. There are about 3.2 × 10^7 seconds in a year. About how many miles does light travel in a year? Write the answer in scientific notation. Express the answer to the exact decimal place. (1 point)
To find the number of miles light travels in a year, we need to multiply the speed of light by the number of seconds in a year.
0.2 x 10^5 mi./sec. * 3.2 × 10^7 seconds = 0.2 x 3.2 x 10^5 x 10^7 mi
= 6.4 x 10^5 x 10^7 mi
= 64 x 10^7 mi
= 6.4 x 10^8 mi.
Therefore, light travels approximately 6.4 x 10^8 miles in a year.
is it
6.08 x 10^12
Apologies for the mistake. Let's correct the calculation.
The speed of light is approximately 1.9 × 10^5 mi/sec, and there are about 3.2 × 10^7 seconds in a year. To find the total distance light travels in a year, we multiply these two quantities:
1.9 × 10^5 mi/sec * 3.2 × 10^7 seconds = 6.08 × 10^12 mi.
Hence, light travels approximately 6.08 × 10^12 miles in a year.