Solve 5 + (-2): Step-by-Step Number Line Solution

Question

5+(2)= 5+(-2)=

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666

Video Solution

Solution Steps

00:00 Solve
00:06 The number is directed, and positive
00:13 The positive direction on the axis is rightward, so we'll take 5 to the right
00:17 The number is directed, and negative
00:21 The negative direction on the axis is leftward, so we'll take 2 to the left
00:31 And this is the solution to the question

Step-by-Step Solution

Let's locate the number 5 on the number line.

Since the number 5 is greater than 0, we will move five steps to the right from zero, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666

Now let's look at the operation in the exercise.

Since the operation is +(2) +(-2)

And the number minus 2 is less than 0, we will move two steps to the left from number 5, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666

We can see that the number we reached is 3.

Answer

3 3