Question

Explain how you can determine the sign of an integer quotient without dividing

Answer 1

Because of the properties of division, we know that a positive number divided by a positive number will be a positive number
$\frac{1}{1} = 1$

Likewise, a negative number divided by a negative number will be a positive number
$\frac{-1}{-1} = 1$

But a positive number divided by a negative number, or vice versa will be a negative number.
$\frac{-1}{1} = \frac{1}{-1} = -1$