Solving (-13)+(-12): Adding Negative Numbers on a Number Line

Solve the following expression using the number line below:

(13)+(12)= (-13)+(-12)= -13-13-13-14-14-14-15-15-15-16-16-16-17-17-17-18-18-18-19-19-19-20-20-20-21-21-21-22-22-22-23-23-23-24-24-24-25-25-25-26-26-26-27-27-27-12-12-12-28-28-28-29-29-29

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 According to the exercise, we'll start from point 13 on the negative side (left)
00:07 The number is directed and negative
00:11 The negative direction on the axis is to the left, so we'll go 12 units left
00:23 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following expression using the number line below:

(13)+(12)= (-13)+(-12)= -13-13-13-14-14-14-15-15-15-16-16-16-17-17-17-18-18-18-19-19-19-20-20-20-21-21-21-22-22-22-23-23-23-24-24-24-25-25-25-26-26-26-27-27-27-12-12-12-28-28-28-29-29-29

2

Step-by-step solution

Let's first locate negative 13 on the number line.

Now let's deal with the operation in the exercise, given that the operation is +(12) +(-12)

Since negative 12 is less than 0, we will move twelve steps to the left from negative 13, where each step represents one whole number as follows:

-13-13-13-14-14-14-15-15-15-16-16-16-17-17-17-18-18-18-19-19-19-20-20-20-21-21-21-22-22-22-23-23-23-24-24-24-25-25-25-26-26-26-27-27-27-12-12-12-28-28-28-29-29-29

We can see that the number we reached is negative 25.

3

Final Answer

25 -25

Practice Quiz

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a is negative number.

b is negative number.

What is the sum of a+b?

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