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    Hey.

    I came across this question and wanted to know what would be the quickest way of solving it?

    3.246 x 10^6 + 3.246 x 10^4
    -----------------------------
    1.623 x 10^11


    where ----------- means divided by.

    Thanks.
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    On a calculator.
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    3.246 x 10^6 + 3.246 x 10^4 can be written as 3.246 x 10^10, if you have brackets. Then it should become obvious.
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    3.246 x 10^6 + 3.246 x 10^4
    ----------------------------- =
    1.623 x 10^11

    3.246 x 10^4(10^2 + 1)
    ----------------------------- =
    1.623 x 10^4 x 1.623 x 10^7

    2 x 101
    -------------- =
    1.623 x 10^7

    2.01 x 10^(-5)
    ------
    1.623

    1.23845 x 10^(-5)
    ===============
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    (Original post by CalculusMan)
    3.246 x 10^6 + 3.246 x 10^4 can be written as 3.246 x 10^10, if you have brackets. Then it should become obvious.
    can it:confused:
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    3.246 x 10^6 + 3.246 x 10^4
    -----------------------------
    1.623 x 10^11

    let u = 1.623

    (2u * 10 ^ 6) + (2u * 10^4)
    -----------------------------
    u x 10^11

    10^4 * 2 *(1 + 10^2)
    -----------------
    10^11

    202 * 10^-7 = 0.0000202.

    BMAT is non-calc! Another Oxbridge Medic. Great!
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    divide by 1.623

    2 x 10^6 + 2 x 10^4 / 10^11

    2*10^4(10^2 + 1) / 10^11

    2(10^2 + 1) / 2*5*10^6

    10^2 + 1 / 5*10^6

    2^2 * 5^2 + 1 / 5^7 * 2^6

    1/5 * 1/10^4 + 1/5 * 1/10^6

    1/5 * 10^-4 + 1/5 * 10^-6

    0.2/10000 + 0.2/1000000

    0.000 02 + 0.000 000 2 = 0.0000202
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    (Original post by chewwy)
    can it:confused:
    Nope, my mistake.
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    (Original post by colouredtwista)
    Hey.

    I came across this question and wanted to know what would be the quickest way of solving it?

    3.246 x 10^6 + 3.246 x 10^4
    -----------------------------
    1.623 x 10^11


    where ----------- means divided by.

    Thanks.
    Cancel the 1.623 gives
    2 x 10^6 + 2 x 10^4
    .............................
    10^11

    cancel 10^4

    gives
    2 x 10^2 + 2
    .................
    10^7
    The answer is 2.02 x 10^(-7)

    No need for a calculator.
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    Thanks everyone. I could have done that as well :rolleyes:

    Oh well.

    Thanks again.
 
 
 
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