Zero Division Problem: Finding the Sign of 0 ÷ (-1/8)

Great question! The sign of the divisor doesn't matter when zero is the dividend. Since $0 \times \text{anything} = 0$, zero divided by any non-zero number is always zero, never positive or negative.

Huge difference! $0 \div (-\frac{1}{8}) = 0$ (zero divided by something), but $(-\frac{1}{8}) \div 0$ is undefined (something divided by zero).

Think of division as "how many groups?" If you have 0 cookies to divide among any number of people, each person gets 0 cookies. Zero divided by anything (except zero) is always zero!

Yes! $\frac{0}{\text{any non-zero number}} = 0$. Whether it's $\frac{0}{5}$, $\frac{0}{-\frac{3}{4}}$, or $\frac{0}{100}$, the answer is always zero.

Those are distractors designed to test if you understand that zero has no sign. Zero is neither positive nor negative - it's just zero!