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  1. 27 Αυγ 2015 · I'm going to rewrite this proof by dividing by all powers of ten and what not. The proof essentially goes: $$ \frac{0}{0}=\frac{2\cdot 0}{1\cdot 0}=\frac{2}{1}$$ The problem is in the first line, when you write $\frac{0}{0}$, which is undefined.

  2. 23 Φεβ 2016 · The same way you could prove that $r\cdot0=0$, for each $r$. Indeed, let $r\cdot0=q$. Then $q=r\cdot0=r\cdot(0+0)=r\cdot0+r\cdot0=q+q$. Hence $q=q+q$, thus $0=q-q=q+q-q=q$. To make the proof look like yours, start with $0\cdot0$ and transform this to $0$. Indeed $0\cdot0=(a-a)(a-a)=a^2-a^2+a^2-a^2=0+0=0$.

  3. 17 Νοε 2024 · In todays video, I will be teaching you how to solve an interesting problem.

  4. In essence, this proof boils down to saying "1 times 0 equals 2 times 0, therefore 1 equals 2". The fallacy is that, just because two numbers give you the same answer (zero) after you multiply them each by zero, doesn't necessarily mean that the two numbers are the same, because anything when multiplied by zero gives zero.

  5. 18 Σεπ 2016 · In summary, division by 0 (0/0) is undefined and has no value. Trying to manipulate or assign a value to this expression will result in inconsistent and absurd results. Therefore, the entire proof is faulty and there is no specific step that can be pinpointed as wrong.

  6. Any two numbers whose sum is zero are additive inverses of one another. For example, if you add -5 to 5, you arrive at zero. So -5 and 5 are additive inverses of one another. The multiplication property states what every third-grader knows: Multiplying any number by zero results in a total of zero.

  7. Zero property of multiplication is defined as “when we multiply any number by zero, the resulting product is always a zero”. It is not compulsory for zero to be the first or the second of the numbers. It can be at any spot when multiplied by another number.

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