EDIT: Thanks to a helpful comment I see why I was wrong.

  • did addition before subtraction instead of left to right

    No, what you actually did was put it inside brackets, thus changing the number of terms. Doing addition first gives the exact same answer as doing subtraction first…

    subtraction first 10-1+1=9+1=10

    addition first 10+1-1=11-1=10

    You did 10-(1+1), hence the wrong answer. It doesn’t matter which order you do it, though often students make mistakes with signs when they change the order, which is why we teach to do left to right.

    • ArkoudaOP
      link
      fedilink
      arrow-up
      1
      arrow-down
      1
      ·
      edit-2
      3 days ago

      The brackets are used to make the equation look cleaner, and the issue for declaring the statement true was doing Addition and Subtraction in the wrong order.

      A - ( B x C ) + ( D x E ) = A - ( B x C ) - ( D x E )

      Using your example:

      10 - 1 + 1 = 10 doing the subtraction first. 10 - 1 + 1 = 8 doing the addition first.

      When doing the other side of the equation:

      10 - 1 - 1 = 8 regardless of order because it is all subtraction. edit: Brain still waking up it is not the same regardless of order, but you do it left to right making it incorrect to do 1-1 first.

      By doing it out of order and incorrectly I was able to make my statement true that as long as A was greater than the sum of B-E both sides would be equal.

      • 💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱@programming.dev
        link
        fedilink
        English
        arrow-up
        1
        arrow-down
        1
        ·
        edit-2
        3 days ago

        The brackets are used to make the equation look cleaner

        No, they’re used to show deviations from the usual order of operations. If I want 2+3x4 to equal 20, then I have to write (2+3)x4.

        10 - 1 + 1 = 8 doing the addition first

        No it isn’t. 10+1-1=11-1=10 is doing the addition first. Note same answer. You in fact did 10-(1+1) - you added brackets which changed the answer, thus a wrong answer

        10 - 1 - 1 = 8 regardless of order because it is all subtraction

        Not all of it. You’re forgetting the 10 is really +10. -10-1-1 would be all subtraction. +10-1-1 is addition and subtraction.

        it is not the same regardless of order

        Yes it is! 😂 It is always the same regardless of order, as I have just shown you, again.

        10-1+1=9+1=10

        10+1-1=11-1=10

        -1+1+10=0+10=10

        1-1+10=0+10=10

        1+10-1=11-1=10

        -1+10+1=9+1=10

        you do it left to right making it incorrect to do 1-1 first.

        It’s NOT incorrect to do 10-1+1 or 10+1-1. It IS incorrect to do 10-(1+1), which is what you did

        By doing it out of order and incorrectly I was able to make my statement true

        It was solely because you did it incorrectly. Order doesn’t change anything.

        • ArkoudaOP
          link
          fedilink
          arrow-up
          1
          arrow-down
          1
          ·
          3 days ago

          I am not going to argue with you about it. This was resolved almost a month ago.

          Read the original equation again, plug some numbers into it, and try again. If that doesn’t help, read the rest of the thread. If you still don’t get it I cannot help you.

          • I am not going to argue with you about it

            Nor should you. I’m a Maths teacher.

            This was resolved almost a month ago

            And yet you still don’t understand what’s wrong with what you said.

            Read the original equation again, plug some numbers into it, and try again.

            That’s what you need to do. You’re the one coming up with wrong answers when you change the order. Changing the order doesn’t change the answer.

            If you still don’t get it I cannot help you

            It’s not me who doesn’t get it. I teach it.

            • ArkoudaOP
              link
              fedilink
              arrow-up
              1
              ·
              3 days ago

              I feel bad for your students if you cannot see why you are wrong here.

                • ArkoudaOP
                  link
                  fedilink
                  arrow-up
                  1
                  arrow-down
                  1
                  ·
                  3 days ago

                  Whatever you say. Enjoy the egg on your face bud.

                  • 💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱@programming.dev
                    link
                    fedilink
                    English
                    arrow-up
                    1
                    arrow-down
                    1
                    ·
                    edit-2
                    3 days ago

                    Enjoy the egg on your face bud

                    None on my face. My students do very well in their tests. How about you? BTW try it on a calculator and guess what answer you’ll get. hint: it’ll be the same answer regardless of which order you do it 😂

                    To save you some trouble, here’s the results from my calculator…

                    10+1-1=10

                    10-1+1=10

                    -1+10+1=10

                    +1+10-1=10

                    -1+1+10=10

                    1-1+10=10