4th grade math problem in China public school.

Discussion in 'Other News' started by Chinatown, May 18, 2016.

  1. Chinatown

    Chinatown Road Train Member

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    9-3 divided by 1/3 + 1 =

    The correct answer is 1

    As you can see, not even a calculator can help you, as it will read the problem wrong and arrive at the answer of 9. To solve it correctly in a calculator, you need to write it out like this: 9-3/(1/3) + 1, which will lead you to 1 as the correct answer. The problem tests your knowledge of PEMDAS, the order of operations formula, which says you must get to the answer by following these steps in this order: parentheses, exponents, multiplication, division, addition, subtraction. In this question, that means dividing 3 by the 1/3 first, which is the same as 3x3. That will then lead you to 9-9+1. PEMDAS states you need to do everything left to right, so then 9-9=0 + 1 = 1. Ta-da!

    If you arrived at 3, 7, or 9 as your answer, you're not alone.
     
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  3. AModelCat

    AModelCat Road Train Member

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    Would the answer not be -1?


    Following the order of operations:

    Division first
    3 ÷ 1/3 = 9

    Now the equation should read:
    9 - 9 + 1 = ?

    Being that addition is done before subtraction:
    9 + 1 = 10

    Then the final step:
    9 - 10 = -1
     
  4. Raezzor

    Raezzor Quis custodiet ipsos custodes?

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    No, addition is not done before subtraction. Multiplication and division are done first, from left to right. Then addition and subraction are done from left to right. Of course, parentheses and exponents are done before multi and divi. PEMDAS should be more clearly written as PE, MD, AS.

    After performing the division of 3 ÷ 1/3 you then perform the operation from left to right. Thus the answer is 1.
     
  5. Chinatown

    Chinatown Road Train Member

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    After reading your post, I think I have the same look your cat has.
     
    sawmill Thanks this.
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