Light travels at an approximate rate of 1.9. x 10^5 mi/sec. There are about 3.2 x 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

3 answers

To find out how many miles light travels in a year, we need to multiply the rate of light by the number of seconds in a year.

Rate of light = 1.9 x 10^5 mi/sec
Number of seconds in a year = 3.2 x 10^7 sec

Now we can calculate the total distance traveled by light in a year:

Total distance = Rate of light x Number of seconds in a year
Total distance = (1.9 x 10^5 mi/sec) x (3.2 x 10^7 sec)

To multiply values in scientific notation, we multiply the coefficients and add the exponents:

Total distance = (1.9 x 3.2) x (10^5 x 10^7) mi
Total distance = 6.08 x 10^12 mi

Therefore, light travels approximately 6.08 x 10^12 miles in a year.
wrong
Apologies for the confusion. Let's re-calculate the total distance traveled by light in a year.

Speed of light = 1.9 x 10^5 mi/sec
Number of seconds in a year = 3.2 x 10^7 seconds

To find the total distance, we multiply the speed of light by the number of seconds in a year:

(1.9 x 10^5 mi/sec) * (3.2 x 10^7 sec)

To multiply these values in scientific notation, we multiply the coefficients and add the exponents:

1.9 * 3.2 = 6.08

10^5 * 10^7 = 10^(5+7) = 10^12

Therefore, the distance light travels in a year is 6.08 x 10^12 mi.