Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.4 light-years from Earth. In scientific notation, how many miles away is it? 7.8792 x 1013 miles 1.34 x 1012 miles 5.88 x 1012 miles 5.88 x 1013 miles

Question

Charlie Leblanc

Mathematics

3 May, 20:34

Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.4 light-years from Earth. In scientific notation, how many miles away is it? 7.8792 x 1013 miles 1.34 x 1012 miles 5.88 x 1012 miles 5.88 x 1013 miles

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Kendall Hatfield · Answer 1

Answer: 7.8792*10^13

Explanation: We need to make a proportion to figure out the miles.

1 light year/5,880,000,000,000 miles=13.4 light years/x miles.

After cross multiplying (1 by x and 5800 ... by 13.4), we have x=7.8792*10^13

Also, the answer before setting it in scientific notation was 78.792 trillion and we moved the decimal 13 times to get to 7, which is between 1 and 10.