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maksim [4K]
2 years ago
10

A certain star is 2.4 x 102 light years from the Earth. One light year is about 5.9 x 1012 miles. How far

Mathematics
1 answer:
Studentka2010 [4]2 years ago
6 0

Answer:

2.5 x 10^{15} miles

Step-by-step explanation:

We are given that 1 light year ≈ 5.9 x 10^{12} miles so:

  • 4.3 x 10² light year · <u>5.9 x </u>10^{12}<u> miles </u>                                                                                                
  •                                    1 light year

Multiply 4.3 an 5.9 and round to 2 significant digits then add the exponents:

                                              ≈25 x 10^{14}

This is not the scientific notation since the number is not between 0 and 10 so we move the decimal point by 1 place to the left. We then add 1 to the exponent to obtain the final answer:

                                                  ≈ 2.5 x 10^{15} miles

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