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Math(s) problem - puzzle

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  • D dbrenth

    My teacher asked me to write a program on the board and solve it. I wrote:

    230 - 220 x 0.5

    and announced that the answer was 5! My teacher claimed I was incorrect, but I was not. Can you please explain it to him? Thanks Hint: My teacher was quite embarrassed when I actually said the answer out loud.

    Brent

    O Offline
    O Offline
    obermd
    wrote on last edited by
    #16

    The answer is 120. The way you get "5" is via a flaw in all four function calculators that don't follow basic math order of operations. By the way, the Windows calculator in Standard mode has this same flaw but it works properly in scientific mode.

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    • L Lost User

      dbrenth wrote:

      Can you please explain it to him?

      Dear Teacher, dbrenth is a cocky little so and so, who needs to be taken down a peg or two. ;P

      O Offline
      O Offline
      obermd
      wrote on last edited by
      #17

      And marked down for not completing the solution.

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      • C CPallini

        You teacher was right, and told you the correct result was actually 76. Could you please tell us why?

        "In testa che avete, Signor di Ceprano?" -- Rigoletto

        F Offline
        F Offline
        Fueled By Decaff
        wrote on last edited by
        #18

        I thought the answer was 78.

        C 1 Reply Last reply
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        • F Fueled By Decaff

          I thought the answer was 78.

          C Offline
          C Offline
          CPallini
          wrote on last edited by
          #19

          42. :-D

          "In testa che avete, Signor di Ceprano?" -- Rigoletto

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          • D dandy72

            Sometimes I'm just being a little bit too literal. Daniel's answer above suggests we're both on the same page on this one. :-)

            Greg UtasG Offline
            Greg UtasG Offline
            Greg Utas
            wrote on last edited by
            #20

            Yeah, you're both on the AR page. :-D

            Robust Services Core | Software Techniques for Lemmings | Articles
            The fox knows many things, but the hedgehog knows one big thing.

            <p><a href="https://github.com/GregUtas/robust-services-core/blob/master/README.md">Robust Services Core</a>
            <em>The fox knows many things, but the hedgehog knows one big thing.</em></p>

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            • C CPallini

              You teacher was right, and told you the correct result was actually 76. Could you please tell us why?

              "In testa che avete, Signor di Ceprano?" -- Rigoletto

              D Offline
              D Offline
              Daniel Pfeffer
              wrote on last edited by
              #21

              Octal

              Freedom is the freedom to say that two plus two make four. If that is granted, all else follows. -- 6079 Smith W.

              C 1 Reply Last reply
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              • D Daniel Pfeffer

                Octal

                Freedom is the freedom to say that two plus two make four. If that is granted, all else follows. -- 6079 Smith W.

                C Offline
                C Offline
                CPallini
                wrote on last edited by
                #22

                Bravo!

                "In testa che avete, Signor di Ceprano?" -- Rigoletto

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                • D Daniel Pfeffer

                  You are wrong, the teacher is right. The order of precedence in mathematical operations is (mnemonic PEMDAS): Parentheses Exponentiation Multiplication & Division Addition & Subtraction If two operations have the same precedence, they are evaluated from left to right. Your problem may be rewritten as 230 - (220 x 0.5), the answer to which is obviously not 5.

                  Freedom is the freedom to say that two plus two make four. If that is granted, all else follows. -- 6079 Smith W.

                  K Offline
                  K Offline
                  Keith Barrow
                  wrote on last edited by
                  #23

                  3! - 1 I think you'll find :) It's curious - nearly everyone I know was taught BODMAS - its the same as PEDMAS, but B=Brackets, O="of". PEDMAS is probably better. Also the great Indian chief "SOH-CAH-TOA". I wonder if they still teach the latter in schools.

                  KeithBarrow.net[^] - It might not be very good, but at least it is free!

                  D P 2 Replies Last reply
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                  • D dbrenth

                    My teacher asked me to write a program on the board and solve it. I wrote:

                    230 - 220 x 0.5

                    and announced that the answer was 5! My teacher claimed I was incorrect, but I was not. Can you please explain it to him? Thanks Hint: My teacher was quite embarrassed when I actually said the answer out loud.

                    Brent

                    R Offline
                    R Offline
                    Rick York
                    wrote on last edited by
                    #24

                    If you solve it left-to-right, ignoring precedence order, then the answer is 5. An old TI calculator would give you that answer. Today's windows calculator will not: it says 120 because the multiplication is done first.

                    "They have a consciousness, they have a life, they have a soul! Damn you! Let the rabbits wear glasses! Save our brothers! Can I get an amen?"

                    P 1 Reply Last reply
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                    • Greg UtasG Greg Utas

                      Yeah, you're both on the AR page. :-D

                      Robust Services Core | Software Techniques for Lemmings | Articles
                      The fox knows many things, but the hedgehog knows one big thing.

                      D Offline
                      D Offline
                      dandy72
                      wrote on last edited by
                      #25

                      :-D

                      1 Reply Last reply
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                      • D dbrenth

                        My teacher asked me to write a program on the board and solve it. I wrote:

                        230 - 220 x 0.5

                        and announced that the answer was 5! My teacher claimed I was incorrect, but I was not. Can you please explain it to him? Thanks Hint: My teacher was quite embarrassed when I actually said the answer out loud.

                        Brent

                        OriginalGriffO Offline
                        OriginalGriffO Offline
                        OriginalGriff
                        wrote on last edited by
                        #26

                        And today you learn that nobody likes a smartarse ... :laugh:

                        "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt AntiTwitter: @DalekDave is now a follower!

                        "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
                        "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt

                        D D 2 Replies Last reply
                        0
                        • OriginalGriffO OriginalGriff

                          And today you learn that nobody likes a smartarse ... :laugh:

                          "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt AntiTwitter: @DalekDave is now a follower!

                          D Offline
                          D Offline
                          DRHuff
                          wrote on last edited by
                          #27

                          OriginalGriff wrote:

                          nobody likes a smartarse

                          Maybe he should brace himself for the reactions to come?

                          If you can't laugh at yourself - ask me and I will do it for you.

                          1 Reply Last reply
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                          • D dandy72

                            I thought about that...but who provides answers as a factorial?

                            C Offline
                            C Offline
                            CPallini
                            wrote on last edited by
                            #28

                            Bernoulli?

                            "In testa che avete, Signor di Ceprano?" -- Rigoletto

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                            0
                            • D dbrenth

                              My teacher asked me to write a program on the board and solve it. I wrote:

                              230 - 220 x 0.5

                              and announced that the answer was 5! My teacher claimed I was incorrect, but I was not. Can you please explain it to him? Thanks Hint: My teacher was quite embarrassed when I actually said the answer out loud.

                              Brent

                              C Offline
                              C Offline
                              Chris Maunder
                              wrote on last edited by
                              #29

                              Very clever :thumbsup:

                              cheers Chris Maunder

                              1 Reply Last reply
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                              • C CPallini

                                42. :-D

                                "In testa che avete, Signor di Ceprano?" -- Rigoletto

                                L Offline
                                L Offline
                                Lost User
                                wrote on last edited by
                                #30

                                42! Looks as windoze coders are lacking kindergartner knowledge of math ... no wonder "fake news " are taking over the world

                                1 Reply Last reply
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                                • D dbrenth

                                  My teacher asked me to write a program on the board and solve it. I wrote:

                                  230 - 220 x 0.5

                                  and announced that the answer was 5! My teacher claimed I was incorrect, but I was not. Can you please explain it to him? Thanks Hint: My teacher was quite embarrassed when I actually said the answer out loud.

                                  Brent

                                  B Offline
                                  B Offline
                                  Bob Beechey
                                  wrote on last edited by
                                  #31

                                  The teacher was not embarrassed but shocked that any student could be so wrong. The division MUST be carried out before the subtraction. 230 – 220 × 0.5 = 230 – 110 = 120. Try it in any scientific calculator or programming language. You are alone (I hope) in thinking the answer is 5. Are you perhaps joking?

                                  D 1 Reply Last reply
                                  0
                                  • K Keith Barrow

                                    3! - 1 I think you'll find :) It's curious - nearly everyone I know was taught BODMAS - its the same as PEDMAS, but B=Brackets, O="of". PEDMAS is probably better. Also the great Indian chief "SOH-CAH-TOA". I wonder if they still teach the latter in schools.

                                    KeithBarrow.net[^] - It might not be very good, but at least it is free!

                                    D Offline
                                    D Offline
                                    Dougy83
                                    wrote on last edited by
                                    #32

                                    I hadn't heard of PEDMAS before; I'm guessing it's some kind of Hollywood holiday.

                                    R 1 Reply Last reply
                                    0
                                    • D Daniel Pfeffer

                                      You are wrong, the teacher is right. The order of precedence in mathematical operations is (mnemonic PEMDAS): Parentheses Exponentiation Multiplication & Division Addition & Subtraction If two operations have the same precedence, they are evaluated from left to right. Your problem may be rewritten as 230 - (220 x 0.5), the answer to which is obviously not 5.

                                      Freedom is the freedom to say that two plus two make four. If that is granted, all else follows. -- 6079 Smith W.

                                      A Offline
                                      A Offline
                                      AnthonyLondon
                                      wrote on last edited by
                                      #33

                                      You write "the answer to which is obviously not 5". Nobody ever said that. The OP sais that he "announced that the answer was 5!". Do you see the difference? The exclamation mark. The answer is 5! (five factorial) and 5!=5*4*3*2*1=120 so 5! is the correct answer :-)

                                      1 Reply Last reply
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                                      • Greg UtasG Greg Utas

                                        Yeah, you're both on the AR page. :-D

                                        Robust Services Core | Software Techniques for Lemmings | Articles
                                        The fox knows many things, but the hedgehog knows one big thing.

                                        D Offline
                                        D Offline
                                        Daniel Pfeffer
                                        wrote on last edited by
                                        #34

                                        Hey, I resemble that! :mad: :)

                                        Freedom is the freedom to say that two plus two make four. If that is granted, all else follows. -- 6079 Smith W.

                                        1 Reply Last reply
                                        0
                                        • D Daniel Pfeffer

                                          You are wrong, the teacher is right. The order of precedence in mathematical operations is (mnemonic PEMDAS): Parentheses Exponentiation Multiplication & Division Addition & Subtraction If two operations have the same precedence, they are evaluated from left to right. Your problem may be rewritten as 230 - (220 x 0.5), the answer to which is obviously not 5.

                                          Freedom is the freedom to say that two plus two make four. If that is granted, all else follows. -- 6079 Smith W.

                                          M Offline
                                          M Offline
                                          Member 14174460
                                          wrote on last edited by
                                          #35

                                          In the UK they teach BODMAS as the order of precedence Brackets Operations Division MMultiplication AAddition SSubtraction see Order of operations - Year 6 - P7 - Maths - Home Learning with BBC Bitesize - BBC Bitesize[^]

                                          OriginalGriffO 1 Reply Last reply
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