Solve (-14) + (-13): Adding Negative Numbers on a Number Line

Solve the following equation using the number line below:

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's start from point (-14) on the axis
00:07 The number is directed and negative
00:10 The negative direction on the axis is to the left, so we'll take 13 to the left
00:36 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 equation using the number line below:

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

2

Step-by-step solution

Let's first locate the number negative 14 on the number line.

Now let's look at the operation in the exercise, since the operation is +(13) +(-13)

Given that negative 13 is less than 0, we will move thirteen steps to the left from negative 14, where each step represents one whole number as follows:

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

We can see that the number we reached is negative 27.

3

Final Answer

27 -27

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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