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Was my math teacher right?

  1. May 6, 2015 #1
    In math class my teacher said that if you take any base or A and square it that the answer is howmany times two goes into the base multiplied by the base times 2, does this always work?
     
  2. jcsd
  3. May 6, 2015 #2

    jedishrfu

    Staff: Mentor

    Can you give a couple of examples in different bases?
     
  4. May 6, 2015 #3
    16 squared
    16/2=8 16*2=32
    32*8=256
     
  5. May 6, 2015 #4
    500 squared
    500/2=250 500*2=1000
    250*1000=250000
     
  6. May 6, 2015 #5
    13 squared
    13/2=6.5 13*2=26
    6.5*26=169
     
  7. May 6, 2015 #6

    jedishrfu

    Staff: Mentor

    Have you tried it with other nunbers like 3, 5 or 7?

    7x7=49

    7/2=3.5

    7*2=14

    3.5 x 14 = 49

    Like that?
     
  8. May 6, 2015 #7

    jedishrfu

    Staff: Mentor

    Okay so basically you are dividing by two and then multiplying by two so the operations cancel out right?
     
  9. May 6, 2015 #8
    yes exactly! i kinda came up with it but said it was my math teacher cause of the whole "if it doesnt come from someone with proof of knowlege we dont want to hear it" thing
     
  10. May 6, 2015 #9

    jedishrfu

    Staff: Mentor

    Okay so you understand how it works now?
     
  11. May 6, 2015 #10

    jedishrfu

    Staff: Mentor

    Many of these math tricks work in a similar way by trying to hide the fact that you are multiplying by a factor early and then cancelling it out by dividing later on using valid math operations throughout the process.
     
  12. May 6, 2015 #11

    jedishrfu

    Staff: Mentor

    For example in your case you could say to add the number to itself instead of using times two to hide that fact and people may be fooled at first.
     
  13. May 6, 2015 #12

    jedishrfu

    Staff: Mentor

  14. May 6, 2015 #13

    jedishrfu

    Staff: Mentor

    Theres no need to preface questions with my math teacher said unless they really said it. Its best to be honest rather than impune the integrity of your teacher for the sake of an answer.
     
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