richgall____
  • richgall____
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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PhantomCrow
  • PhantomCrow
Do you know how to multiply scientific notation?
richgall____
  • richgall____
i have the ti-84 calculator that multiplies things
richgall____
  • richgall____
like this

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PhantomCrow
  • PhantomCrow
Right, but we want to multiply it without expanding it. Do you know how to multiply the numbers keeping them in scientific notation?
richgall____
  • richgall____
no
PhantomCrow
  • PhantomCrow
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)
PhantomCrow
  • PhantomCrow
What do you get?
richgall____
  • richgall____
so do i multiply 3.9 times 1.55?
PhantomCrow
  • PhantomCrow
Yes
richgall____
  • richgall____
6.045
richgall____
  • richgall____
and with the expontents part it will be 10^40
PhantomCrow
  • PhantomCrow
Yep! So your answer is 6.045 x 10^40
PhantomCrow
  • PhantomCrow
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.
richgall____
  • richgall____
SO i multiply 1.6 ties 1.6??
richgall____
  • richgall____
*multiply
PhantomCrow
  • PhantomCrow
No. It's asking you to chose between two measurements for the distance between two tracks on a CD.
richgall____
  • richgall____
I think 1.6 time 10^3
PhantomCrow
  • PhantomCrow
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?
richgall____
  • richgall____
first one ?
PhantomCrow
  • PhantomCrow
Yes. But do you see why it is?
richgall____
  • richgall____
Yea because tracks are like the song and it takes longer time to switch between them
PhantomCrow
  • PhantomCrow
Also, because a CD is nowhere near 1.6 meters in diameter.

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