To add integers using a number line, you first need to understand where each integer lies on the line. Let’s take an example to illustrate this.
Suppose we want to add 3 + 2.
- Start at the number 3 on the number line.
- Since we are adding 2, move two spaces to the right from 3.
- When you move two spaces to the right from 3, you reach 5.
Therefore, 3 + 2 = 5.
Now let’s consider a negative integer, for example, 3 + (-2).
- Again, start at the number 3 on the number line.
- This time, since we are adding a negative, move two spaces to the left.
- Moving two spaces to the left from 3, you arrive at 1.
So, 3 + (-2) = 1.
Using the number line helps visualize how positive and negative integers interact when added together. You always move in the direction of the integer you are adding, whether that’s to the right for positive integers or to the left for negative integers.