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richgall____

  • one year ago

Medal! Part A: The sun produces 3.9 ⋅ 10^33 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 10^7 seconds? Part B: Which is the more reasonable measurement of the distance between the tracks on a CD: 1.6 ⋅ 10^–3 mm or 1.6 ⋅ 10^3 mm? Justify your answer.

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  1. PhantomCrow
    • one year ago
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    Do you know how to multiply scientific notation?

  2. richgall____
    • one year ago
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    i have the ti-84 calculator that multiplies things

  3. richgall____
    • one year ago
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    like this

  4. PhantomCrow
    • one year ago
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    Right, but we want to multiply it without expanding it. Do you know how to multiply the numbers keeping them in scientific notation?

  5. richgall____
    • one year ago
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    no

  6. PhantomCrow
    • one year ago
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    Okay. First, we multiply the decimal number. After, we keep the base of ten and add the exponents (since we add exponents when multiplying the same base)

  7. PhantomCrow
    • one year ago
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    What do you get?

  8. richgall____
    • one year ago
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    so do i multiply 3.9 times 1.55?

  9. PhantomCrow
    • one year ago
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    Yes

  10. richgall____
    • one year ago
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    6.045

  11. richgall____
    • one year ago
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    and with the expontents part it will be 10^40

  12. PhantomCrow
    • one year ago
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    Yep! So your answer is 6.045 x 10^40

  13. PhantomCrow
    • one year ago
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    As for part B, remember that a negative exponent on ten means that the number is less than 1 and any positive exponent is equal to or greater than 1.

  14. richgall____
    • one year ago
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    SO i multiply 1.6 ties 1.6??

  15. richgall____
    • one year ago
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    *multiply

  16. PhantomCrow
    • one year ago
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    No. It's asking you to chose between two measurements for the distance between two tracks on a CD.

  17. richgall____
    • one year ago
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    I think 1.6 time 10^3

  18. PhantomCrow
    • one year ago
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    1.6 x 10^3 mm = 1.6 meters 1.6 x 10^-3 mm = 0.0016 mm. In the scale of a CD, which one would be logical?

  19. richgall____
    • one year ago
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    first one ?

  20. PhantomCrow
    • one year ago
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    Yes. But do you see why it is?

  21. richgall____
    • one year ago
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    Yea because tracks are like the song and it takes longer time to switch between them

  22. PhantomCrow
    • one year ago
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    Also, because a CD is nowhere near 1.6 meters in diameter.

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