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.
A similar problem is given at https://brainly.com/question/23536327
