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Neat maths trick


OubaasDik

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How to change a number 1 into a number 2:

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1. Say


947fc392e1843e655a04e4ccedbf8146.png

2. Multiply through by a, then


04ae6e1f708633c55b0f2910229c8218.png

3. Subtract a9afd2bcad236e960e6d09e59f4bc2f8.png


0da776c891aae2ddcea10de4168e80d7.png

4. Factor both sides


f3ab9270d9c7c080e69391947e4d9f0a.png

5. Divide by 3eda20e127fc96abc4f2e93d16f7cf46.png


8e629bc66a8fd064dadff7e31fb9ab0d.png

6. Observing that 947fc392e1843e655a04e4ccedbf8146.png


dac22e850802fe51e4e3c55b41a1cbc8.png

7. Combine like terms on the left


37d0811a86406b970245d48f50015ec0.png

8. Divide by the non-zero b


8f747d1e8bf6521547fe9fe7f8a5d45a.png
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I think OubaasDik's post was easier to understand, sorry 16yearsoutofrsa, but you lost me... LOL

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I saw what you did there, 16years ....... you should feel ashamed of yourself. :P

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It wasn't visual enough for me 16yearsoutofrsa............lol

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1. Say

947fc392e1843e655a04e4ccedbf8146.png

2. Multiply through by a, then

04ae6e1f708633c55b0f2910229c8218.png

3. Subtract a9afd2bcad236e960e6d09e59f4bc2f8.png

0da776c891aae2ddcea10de4168e80d7.png

4. Factor both sides

f3ab9270d9c7c080e69391947e4d9f0a.png

5. Divide by 3eda20e127fc96abc4f2e93d16f7cf46.png

8e629bc66a8fd064dadff7e31fb9ab0d.png

6. Observing that 947fc392e1843e655a04e4ccedbf8146.png

dac22e850802fe51e4e3c55b41a1cbc8.png

7. Combine like terms on the left

37d0811a86406b970245d48f50015ec0.png

8. Divide by the non-zero b

8f747d1e8bf6521547fe9fe7f8a5d45a.png

Cool try... but you failed on 6... ;)

a = 0 :D (He lost his number 1 in an all out number 2... :P

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Got it. This is actually the proof that you cannot divide by zero.

Now show it to your kids and get them to ask their teacher, see how good your school's maths department is.

Edited by 16yearsoutofrsa
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Actually it's step 5 where he divides by 3eda20e127fc96abc4f2e93d16f7cf46.png which is zero

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not really, because a is not b ;) therefore not 0, but since a was proven to be 0, he's actually dividing by -b ;)

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Actually "a" has NOT been proven to be 0 - equation 1 says "a" has been set to be "b". Nowhere is there anything about a being 0

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Actually the sleight of hand comes in in step 3 where he subtracts a9afd2bcad236e960e6d09e59f4bc2f8.png

If you substitute a for b in the equation (which you can because of equation 1

you get a^2 - a^2 = a^2 - a^2

which is 0 = 0

then we proceed to divide by (a - b ) which is (a - a) = 0

So we're dividing 0 by 0 , and you can mathematically get some very funny things there.

All the rest is obfuscation and smoke and mirrors.

Edited by OubaasDik
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Picture = funny but the rest is just way too intellectual for me. :o:unsure::sleep1:

  • Like 1
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Picture = funny but the rest is just way too intellectual for me. :o:unsure::sleep1:

That's all right, boet, someone has to pay for calculators ...... :P

Edited by OubaasDik
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Funny picture and glad people actually know where the proof of 1+1=2 went wrong.

I always show this to my students on the 1st day of class and ask them to find the mistake.

I've only ever had one student find it.

Hopefully after teaching them for a year, they would get it.

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... and actually, I seem to use the word "actually" a lot, actually.

Must curb that.

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That is because you are a cunning linguist bwana....................and malleable to boot.

  • Like 2
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... and actually, I seem to use the word "actually" a lot, actually.

Must curb that.

As long as you don't start saying things like "because of because", "whereby" or "legendaryer" then it's all good. :P

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It just is... :P

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