Question

The rational numbers $\frac{1}{3}$ and $-\frac{1}{3}$ are on the _____ sides of zero on the number line.

Answer 1

Step 1: Number Line

1. A number line is a horizontal straight line that represents integers on it, at a regular interval.
2. A number line is used to represent integers and compare them.
3. We can also perform arithmetic operations such as addition and subtraction using a number line.

Step 2: Represent the given rational numbers on the number line

Thus,

$\frac{1}{3}$ is positive rational number so it is lies to the right side of $0$ on the number line.

$-\frac{1}{3}$ is negative rational number so it is lies to the left side of $0$ on the number line.

Therefore, both the numbers are on opposite sides.

Hence, the rational numbers $\frac{1}{3}$ and $-\frac{1}{3}$ are on the opposite sides of zero on the number line.