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anonymous

  • one year ago

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 ?

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  1. welshfella
    • one year ago
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    you need to divide 1.2 * 10^19 by 5.88 * 10^12

  2. anonymous
    • one year ago
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    @Welshfella isn't the 5.88 supposed to go first ?

  3. welshfella
    • one year ago
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    No do this in 2 parts 1/2 / 5.88 = ? 10^19 / 10^12 = ? can you figure these out?

  4. anonymous
    • one year ago
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    When I did 1.2 ÷ 5.88 I got 40 but on the calculator it says 0.20408163

  5. anonymous
    • one year ago
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    @welshfella

  6. welshfella
    • one year ago
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    yes thats correct but i think we can call that 0.204

  7. welshfella
    • one year ago
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    now what do you get for 10^19 / 10^12 - recall the law of exponents - when dividing you subtract the exponents

  8. welshfella
    • one year ago
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    like x^4 / x^2 = x^(4-2) = x^2

  9. anonymous
    • one year ago
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    Yeah so my final answer is 0.204×10^7?

  10. welshfella
    • one year ago
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    No i'm afraid not I expect they want the answer in scientific form where the first number must be betwen 1 and 10

  11. welshfella
    • one year ago
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    so , to retain the correct value m you multiply the 0.204 by 10 and divide the 10^7 by 10

  12. anonymous
    • one year ago
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    Ahh I'm a little confused here

  13. welshfella
    • one year ago
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    0.204 * 10 = ? 10^7 / 10^1 = ?

  14. welshfella
    • one year ago
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    0.204 * 10^7 is correct but they want it in scientific form

  15. anonymous
    • one year ago
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    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?

  16. welshfella
    • one year ago
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    0.204 * 10^7 years

  17. welshfella
    • one year ago
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    in scientific notation that is 2.04 * 10^6 years

  18. anonymous
    • one year ago
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    It doesn't say to write it in scientific notation

  19. anonymous
    • one year ago
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    @welshfella

  20. welshfella
    • one year ago
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    yes OK But you should be clear what scientific notation is.

  21. welshfella
    • one year ago
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    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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