Question

Explain how to determine whether a quotient of two rational numbers is positive or negative.

Answer 1

Step 1: The quotient of two rational numbers is positive when the two numbers have same sign.

Example: $\frac{{\displaystyle \frac{1}{2}}}{{\displaystyle \frac{3}{4}}}=\frac{2}{3}$

Step 2: The quotient of two rational numbers is negative when the two numbers have opposite sign.

Example: $\frac{\left(-{\displaystyle \frac{1}{3}}\right)}{{\displaystyle \frac{3}{2}}}=\frac{-2}{9}$

Final Answer: The quotient of two rational numbers is positive when the two numbers have same sign.

The quotient of two rational numbers is negative when the two numbers have opposite sign.