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Math Help - Scientific notation steps

  1. #1
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    Scientific notation steps

    I am trying to help my daughter with this problem. She has to put the answer in scientific notation. The problem is

    36x10 to the 7th power divided by 12 to the -3rd power.

    I want to know if I can get step by step instructions for the last part before the answer.

    So far she has gotten this: 360,000,000 divided by .012

    Can you show me how to complete and solve with answer in scientific notation, I want to walk her through it
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by jmotherx3 View Post
    I am trying to help my daughter with this problem. She has to put the answer in scientific notation. The problem is

    36x10 to the 7th power divided by 12 to the -3rd power.

    I want to know if I can get step by step instructions for the last part before the answer.

    So far she has gotten this: 360,000,000 divided by .012

    Can you show me how to complete and solve with answer in scientific notation, I want to walk her through it
    \frac {36 \times 10^7}{12 \times 10^{-3}}

    "separate" the 10's from the "not 10's"

    \Rightarrow \frac {36}{12} \cdot \frac {10^7}{10^{-3}}

    simplify

     3 \cdot 10^{7 - (-3)} .........since \frac {x^a}{x^b} = x^{a - b}

    so we have

    3 \times 10^{10}

    this is already in scientific notation, since 0 \le 3 \le 9
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