contestada

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
from the earth (in miles) is the star?
TL
miles from Farth

Respuesta :

Answer:

2.5 x [tex]10^{15}[/tex] miles

Step-by-step explanation:

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

  • 4.3 x 10² light year · 5.9 x [tex]10^{12}[/tex] miles                                                                                                
  •                                    1 light year

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

                                              ≈25 x [tex]10^{14}[/tex]

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 [tex]10^{15}[/tex] miles

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