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The distance from Betelgeuse to Earth is known to be between
400 and 700 light years. How many meters is 400 light years?
What is 400 x (9 x 10^15)? Drag and drop each of my steps in order to help
us write an estimate in scientific notation, then click DONE.

Please Answer Quickly

Sagot :

Using proportions, it is found that 400 light years have [tex]3.6 \times 10^{18}[/tex] meters.

  • To find how many meters are 400 light years, we use proportions, with a rule of three.
  • One light year has [tex]9 \times 10^{15}[/tex] meters.
  • How many meters are there in 400 light years, which in scientific notation, is [tex]4 \times 10^2[/tex] light years?

The rule of three is:

1 light year - [tex]9 \times 10^{15}[/tex] meters.

[tex]4 \times 10^2[/tex] light years - x meters

Applying cross multiplication:

[tex]x = 9 \times 10^{15} \times 4 \times 10^2 = 36 \times 10^{17} = 3.6 \times 10^{18}[/tex]

Thus, 400 light years have [tex]3.6 \times 10^{18}[/tex] meters.

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