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richgall____

  • one year ago

The mass of the Rock of Gibraltar is 1.78 ⋅ 10^12 kilograms. The mass of the Antarctic iceberg is 4.55 ⋅ 10^13 kilograms. Approximately how many more kilograms is the mass of the Antarctic iceberg than the mass of the Rock of Gibraltar? Show your work and write your answer in scientific notation.

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  1. anonymous
    • one year ago
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    scientific notation is the form of writing a number: \[a*10^n\], where 0<a<10 and n is any natural number

  2. anonymous
    • one year ago
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    you already have masses written in scientific notation. So you just need to solve \[4.55*10^{13} - 1.78*10^{12}\]

  3. richgall____
    • one year ago
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    Thanks @ksanka

  4. anonymous
    • one year ago
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    you can do this way: \[4.55∗10^{13}−1.78∗10^{12}=10^{12}*(4.55*10-1.78)\] then solve for the number in brackets

  5. richgall____
    • one year ago
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    The numbers in the brackets equal 43.72

  6. anonymous
    • one year ago
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    in brackets you get 43.72. But the a must be less than 10, so the answer will be \[4.372*10^{12}*10=4.372*10^{13}\]

  7. anonymous
    • one year ago
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    let me check on calculator, for if I made a mistake.

  8. richgall____
    • one year ago
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    Okay

  9. anonymous
    • one year ago
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    yep, that's right!

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