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Addition of exponents disconnect

  1. Mar 24, 2010 #1
    1. The problem statement, all variables and given/known data
    (35.709 + 5.789)(10^4 + 10^4)
    =41.498 * 10^4



    2. Relevant equations
    this is an an example given in my TEAS (standardized skills test) work book/study guide...is it accurate? i don't know why (10^4 + 10^4) = 10^4 after the simplification



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 24, 2010 #2

    berkeman

    User Avatar

    Staff: Mentor

    That is not standard scientific (exponential) notation. Are you sure it wasn't written like this?

    (35.709*10^4 + 5.789*10^4)

    That would be more standard. Written as you show it, it is indeed wrong, or at least confusing.
     
  4. Mar 24, 2010 #3
    the total given example:
    (3.5709*10^5)+(5.789*10^4)
    =(35.709*10^4)+(5.789*10^4)
    =(35.709 + 5.789)(10^4 + 10^4)
    =41.498 * 10^4
    =4.1498*10^5
     
  5. Mar 24, 2010 #4

    berkeman

    User Avatar

    Staff: Mentor

    Weird. I've certainly never seen that notation, and IMO it shouldn't be used. If the 3rd line were:

    =(35.709 + 5.789)(10^4)

    then I would be okay with that. But not the way they wrote it.
     
  6. Mar 24, 2010 #5

    Mark44

    Staff: Mentor

    The step below is wrong. Both terms above have a factor of 10^4, so the next line should be = (35.709 + 5.789) * 10^4.

    It should be noted that 10^4 + 10^4 = 2*10^4, and this should further convince you that the next line is wrong.
    Whoever worked the example got the correct answer, but two steps along the way are incorrect.
     
  7. Mar 24, 2010 #6
    thank you, fwiw-the source is
    ATI, Assessment Technologies Institute, LLC
    Test of Essential Academic Skills Pre-Test Study Manual, edition 3.0
     
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