Why can't you divide by zero? - TED-Ed

  • Published: 23 April 2018
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    In the world of math, many strange results are possible when we change the rules. But there’s one rule that most of us have been warned not to break: don’t divide by zero. How can the simple combination of an everyday number and a basic operation cause such problems?

    Lesson by TED-Ed, animation by Nick Hilditch.

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Comments • 7 144

  • TED-Ed
    TED-Ed   1 years back

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    • Noirit Nihar Kashyap
      Noirit Nihar Kashyap  1 months back

      I 0

    • THINK86200
      THINK86200  1 months back

      0 = Infinity this way:

      0 - 5 = -5
      -5 = -3 + -2
      -3 X -2 = 6
      6 / 2 = 3
      3 x 3 = 9
      9 - 4 = 5
      5 x 4 = 20
      20 / 2 = 10
      10 x 10 =100
      etc... to infinity and beyond!!!

    • Adidas Berlin
      Adidas Berlin  2 months back

      Why does no one acknowledges that (0+ininity)+(0+infinity)=0+0x2infinty . This also makes sense because we defined infinity as a "number"

    • Vincent RedDragon
      Vincent RedDragon  4 months back

      TED-Ed I just want to ask,when I tried 0 divided 0 in calculator,the result is ERROR. Why?

    • Talote1983
      Talote1983  5 months back

      The voice is super annoying

    DANIEL SCHONS  16 hours back

    10÷0=0 because you have 10 aples and ten divoded by 0 baskets because you cant put 10 aples in baskets because you not have were to put

    • The Merciful
      The Merciful  23 hours back

      10÷0= ?

      Logicly,something(10 in this case),divided by nothing(0)is still 10..Nothing is dividing the number..Wtf?
      This is the logical answer.. i guess..

      • The Merciful
        The Merciful  8 hours back

        @Winter Sonata
        Exactly,if that works of course..

      • Winter Sonata
        Winter Sonata  9 hours back

        So youre saying that the calculation is canceled because there is nothing to divide right?

      • The Merciful
        The Merciful  11 hours back

        @Winter Sonata
        No,if a number is divided by nothing it is not divided,it is still that number,get it?

      • Winter Sonata
        Winter Sonata  13 hours back

        let see here, 0 represents nothing so any possible number in this world divide by 0 is invalid , get it?

      SACHIN SUNDARESAN  1 days back

      Don't y'all understand!??!
      Anything divided by 0 is infinity. That's true.
      THIS IS JUST A MATHEMATICAL *ILLUSION.* Answer is infinity because it says that it's still searching for a number which is the largest. And such a number doesn't exist. Therefore, it's an illusion.
      So, the universe is a creation of natural math. And the equation is,
      0 ÷ 0 = infinity(universe)
      Hence, the universe is also an ILLUSION.

    • Winter Bear
      Winter Bear  2 days back

      For the last time ZERO HAS NO VALUE

      NO VALUE

      • MinhDeshy
        MinhDeshy  2 days back

        Me: it's 3AM and i gotta sleep
        Youtube recommendation:

        • Carolina Silva
          Carolina Silva  2 days back

          i told my math teacher 0/0=0 because that made sense, and he said-.....no..

          • aminoacidcereal
            aminoacidcereal  3 days back

            _"WHY WOULD THEY CHANGE MATH???"_

            • Daddy took the vacuum back downstairs

              What happens if i divide 0 by 0 on my pc please tell me the truth

              • RJ Ganiga
                RJ Ganiga  5 days back

                Maybe.. Quantum physics

                • Jamie Lee Bongay
                  Jamie Lee Bongay  6 days back

                  Downloading this video because the lesson is made by TED-Ed itself.

                  • Michael Pump
                    Michael Pump  6 days back

                    We can to divide by zero , but this is not school program

                    • I.km_.b
                      I.km_.b  7 days back

                      If u convert it to word problem it makes more sense, ex: You have 10 apples and u want to give 2 apple per person how many people are u sharing with? Answer is 5. Now instead of 2 apple per person, we say 0 apple per person, you would be sharing with no one because you are not interested in sharing. If you have 0 apples and would still want to share 2 apple per person it's still 0 because u want to share but you dont have apples

                      • Marc
                        Marc  1 weeks back

                        this is how GER works guys

                        • Sang Lê
                          Sang Lê  1 weeks back

                          Make it simple. You have 10 chairs but nobody came to your birthday even you . How do you make a division ?

                          • mismong tao
                            mismong tao  1 weeks back

                            Zero is nothing.. Ur not mad nor happy.. Zero.........

                            • MathBoy 73
                              MathBoy 73  1 weeks back


                              • Talking Hank the Yenji 2019 AUTTP

                                The multiplicative inverse of ten is one-tenth.

                                • Talking Hank the Yenji 2019 AUTTP

                                  Dividing by smaller and smaller numbers give you bigger and bigger answers.

                                  • Talking Hank the Yenji 2019 AUTTP

                                    √-1=i opening up a new mathematical world with wonder. So, one equals two. So infinity is NOT a number. Division by zero tends towards infinity.

                                    • MaxLos
                                      MaxLos  1 weeks back

                                      "A new number....called 'i'"

                                      • Interdimensional Gaming

                                        soo blackholes just divide reality by zero

                                        • Talking Hank the Yenji 2019 AUTTP

                                          How many times must we add two together to make ten.

                                          • Talking Hank the Yenji 2019 AUTTP

                                            The rules are, don't divide by zero. Why not?

                                            • HaomacGames Channel
                                              HaomacGames Channel  1 weeks back

                                              ✔-1 = i

                                              • Mohammad M
                                                Mohammad M  2 weeks back

                                                If multiplication is just repeated addition, then division is just repeated subtractions. With that logic in mind, 4*0=0+0+0+0=0.
                                                But if you make it into division, you get an endless loop because 4/0=4-0-0-0-0-0-0-0-0... because it's impossible to subtract a number by zero, making it impossible logically to divide by zero.

                                                • Giovanni Córdova
                                                  Giovanni Córdova  2 weeks back

                                                  It’s a mistake to say that (-1)^1/2 = i

                                                  • Dice Boy
                                                    Dice Boy  2 weeks back

                                                    This is more impossible

                                                    What is 0 / 0 + 1 - 4 x 10

                                                    True or false?

                                                    • Ham D.
                                                      Ham D.  2 weeks back

                                                      1:15 or how many slices of pizza should one eat to equally divide along everyone else.

                                                      • Govind Kumar
                                                        Govind Kumar  2 weeks back

                                                        The Story For Another Day always interests me more than the current topic.

                                                        • *. t a r o t e a .*
                                                          *. t a r o t e a .*  2 weeks back

                                                          This hurts my brain.

                                                          This proves math stands for mental abuse to humans

                                                          • Ghazal Sahra
                                                            Ghazal Sahra  3 weeks back

                                                            . Let me explain what 10$/0$ means. It means that you want to give away 10$ from your pocket By subtracting 0$ multiple times. It means how many times you need to take away zero dollars from your pocket so you won't have 10$ any more. Answer not defined. Even if you keep subtracting 0$ infinity numbers of time. The remain money will always be the same. It is impossible to give away 10$ by dividing it by 0.

                                                            Lets take an other example 10$/5$.
                                                            It Means how many times you can subtract 5$ from 10$ so the remain money will be 0.lets calculate it. pocket =10$-5$=5$ first time. Pocket =5$-5$=0$ second time. The result 10/5=2 (only two times)
                                                            So a/b means how many time you need to keep Subtracting B from A so that the final result of subtraction will equal to 0.

                                                            • Abhirath Narasimhan
                                                              Abhirath Narasimhan  3 weeks back

                                                              It’s simple, imagine you have one chocolate and you divide it by 0 people, what do you get?

                                                              You get 1 that is if you don’t give a chocolate to anyone it’s only one

                                                              • Sherry
                                                                Sherry  3 weeks back

                                                                Such a lazy voice so disturbing

                                                                • Manju Bhatta
                                                                  Manju Bhatta  3 weeks back

                                                                  What if 0 divided by 0 =0

                                                                  • Diory N
                                                                    Diory N  3 weeks back

                                                                    zer + 0 = zer0

                                                                    • Huy Tran Dang
                                                                      Huy Tran Dang  3 weeks back

                                                                      My brain..

                                                                      • personred
                                                                        personred  3 weeks back


                                                                        • nouriok
                                                                          nouriok  3 weeks back

                                                                          because my teacher said so

                                                                          • Даг од
                                                                            Даг од  3 weeks back

                                                                            I program python to get 1÷0 and yeah its crash

                                                                            • Uxie Xzxzxzx
                                                                              Uxie Xzxzxzx  4 weeks back

                                                                              3:48 "so, one equals two." *uhhh okay?*

                                                                              • Rhettori Comment
                                                                                Rhettori Comment  4 weeks back

                                                                                What if 0 × ∞ = ∞ because ∞ × a number exceeds all else?

                                                                                • Andy Chen
                                                                                  Andy Chen  4 weeks back

                                                                                  0/0 is basically any number that isn’t infinite.

                                                                                  • Firas Ilyas
                                                                                    Firas Ilyas  4 weeks back


                                                                                    • Milo Andreevich
                                                                                      Milo Andreevich  4 weeks back

                                                                                      Pamiętaj cholero nie dziel przez zero

                                                                                      • 이현민
                                                                                        이현민  4 weeks back


                                                                                        • Vipul Raut
                                                                                          Vipul Raut  4 weeks back

                                                                                          What does that green diagram in middle represent at 4:30?

                                                                                          • Rohith Raman
                                                                                            Rohith Raman  1 months back

                                                                                            A day in the life of a daft mathematician:
                                                                                            Mathematician - What's 1 divided by 0?
                                                                                            Boss - You're fired.