Solve -15 + 3 Using Number Line: Step-by-Step Solution

Question

15+3= -15+3= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333-7-7-7-15-15-15-14-14-14-13-13-13-12-12-12-11-11-11-10-10-10-9-9-9-8-8-8

Video Solution

Solution Steps

00:00 Solve
00:03 The number is directed and negative
00:08 The negative direction on the axis is left, so we'll take 15 left
00:25 The number is directed and positive
00:28 The positive direction on the axis is right, so we'll take 3 right
00:37 And this is the solution to the question

Step-by-Step Solution

Let's locate negative 15 on the number line.

Since negative 15 is less than 0, we will move fifteen steps to the left of zero, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333-7-7-7-15-15-15-14-14-14-13-13-13-12-12-12-11-11-11-10-10-10-9-9-9-8-8-8

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

Since the operation is +3 +3

And the number 3 is greater than 0, we will move three steps to the right from negative 15, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333-7-7-7-15-15-15-14-14-14-13-13-13-12-12-12-11-11-11-10-10-10-9-9-9-8-8-8

We can see that the number we reached is negative 12.

Answer

12 -12