anonymous
  • anonymous
The distance from the sun to the Andromeda galaxy is 1.2×10^19 miles. Light travels at a speed of 5.88×10^12 miles per year (called light year) . How long does it take light to travel from the sun to the Andromeda galaxy ?
Mathematics
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anonymous
  • anonymous
The distance from the sun to the Andromeda galaxy is 1.2×10^19 miles. Light travels at a speed of 5.88×10^12 miles per year (called light year) . How long does it take light to travel from the sun to the Andromeda galaxy ?
Mathematics
chestercat
  • chestercat
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welshfella
  • welshfella
you need to divide 1.2 * 10^19 by 5.88 * 10^12
anonymous
  • anonymous
@Welshfella isn't the 5.88 supposed to go first ?
welshfella
  • welshfella
No do this in 2 parts 1/2 / 5.88 = ? 10^19 / 10^12 = ? can you figure these out?

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anonymous
  • anonymous
When I did 1.2 ÷ 5.88 I got 40 but on the calculator it says 0.20408163
anonymous
  • anonymous
welshfella
  • welshfella
yes thats correct but i think we can call that 0.204
welshfella
  • welshfella
now what do you get for 10^19 / 10^12 - recall the law of exponents - when dividing you subtract the exponents
welshfella
  • welshfella
like x^4 / x^2 = x^(4-2) = x^2
anonymous
  • anonymous
Yeah so my final answer is 0.204×10^7?
welshfella
  • welshfella
No i'm afraid not I expect they want the answer in scientific form where the first number must be betwen 1 and 10
welshfella
  • welshfella
so , to retain the correct value m you multiply the 0.204 by 10 and divide the 10^7 by 10
anonymous
  • anonymous
Ahh I'm a little confused here
welshfella
  • welshfella
0.204 * 10 = ? 10^7 / 10^1 = ?
welshfella
  • welshfella
0.204 * 10^7 is correct but they want it in scientific form
anonymous
  • anonymous
Kk I got it but since it's a word problem my answer would be "it takes 0.204 miles for light to travel from the sun to Andromeda " m?
welshfella
  • welshfella
0.204 * 10^7 years
welshfella
  • welshfella
in scientific notation that is 2.04 * 10^6 years
anonymous
  • anonymous
It doesn't say to write it in scientific notation
anonymous
  • anonymous
welshfella
  • welshfella
yes OK But you should be clear what scientific notation is.
welshfella
  • welshfella
Notice that the numbers in the question are all in scientific notation - 1.2 and 5.88 are both in the rang 1 - 10.

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