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

Question

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

Video Solution

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.

Answer

27 -27