How is -4 divided by -4 = -8

Lol I'm being destroyed I really need this explaining to me

Technically speaking it is getting smaller if we're only concerned with the magnitudes


Posted from TSR Mobile

But we're not

I think what's happened is the divide sign on your calculator has been rubbed out a bit and now looks like a minus sign.

-4/-4 Firstly two negatives cancel out hence its 4/4 which is 1 therefore by mathematical induction it does not equal -8....

I'm gonna start off by assuming that $\frac{x}{x} = k$ where k is some constant.

$\iff x=kx \iff \left ( k-1 \right )x = 0$ and so we now know that $x = 0$.

From our original equation we have $\frac{0}{0}= k$ and we know that anything divided by 0 is infinity, and so $\iff \pm \infty = k$.

We reject the positive solution because x = -4 in our original example and so it must be negative infinity: $k = - \infty$.

Infinity is just an $8$ rotated 90 or 270 degrees, so $k = -8$ and it follows that $\frac{x}{x} = -8$, hence -4 divided by -4 is indeed -8.

I'm gonna start off by assuming that $\frac{x}{x} = k$ where k is some constant.

$\iff x=kx \iff \left ( k-1 \right )x = 0$ and so we now know that $x = 0$.

From our original equation we have $\frac{0}{0}= k$ and we know that anything divided by 0 is infinity, and so $\iff \pm \infty = k$.

We reject the positive solution because x = -4 in our original example and so it must be negative infinity: $k = - \infty$.

Infinity is just an $8$ rotated 90 or 270 degrees, so $k = -8$ and it follows that $\frac{x}{x} = -8$, hence -4 divided by -4 is indeed -8.