# Plotting opposite integers on a number line

The **opposite** of any number

Every number has an opposite number. The opposite of integer 3, for example, is found at the same distance from 0, but on the other side as −3.

Similarly, the negative of integer −3 is at the same distance from 0, but on the other side and it is +3.

−(−3) = 3.

So, the opposite of integer −3 is 3.

This is true for any integer ‘*a*’:

*−(−a) = a*

The opposite of *−a* is *a*.

For example,

−(−12) = 12.

**Rules for plotting opposite integers on a number line**

For any given integer ‘

*a*’, the opposite integer is found at the same distance from 0 on the number line, but on the other side.So, the opposite integer of integer ‘

*a*’, is ‘*-a*’ on the number line, but on the other side of 0;So, the opposite integer of integer ‘

*-a*’, is ‘*a*’ on the number line, but on the other side of 0.

Plot the integer −46 and its opposite on the number line.

### Solution

**Step 1:**

The opposite of −46 is 46.

**Step 2:**

These integers on number line are as shown below.

Plot the integer 28 and its opposite on the number line.

### Solution

**Step 1:**

The opposite of 28 is −28.

**Step 2:**

These integers on number line are as shown below.