Solve (-6)+(-7)+13: Evaluating the Sum to Zero

Question

$(-6)+(-7)+13\text{?}0$

00:00 Choose the appropriate sign

00:03 Let's start from point (-6) on the negative side (left) of the axis

00:07 The number is directed and negative

00:10 The negative direction on the axis is left, so we'll take 7 to the left

00:25 The number is directed and positive

00:30 The positive direction on the axis is right, so we'll take 13 to the right

00:49 This is the solution for the left side

00:53 And this is the solution to the question

Let's first solve the equation:

$(-6)+(-7)+13=$

We'll need to locate -6 on the number line and then move 7 steps to the left (since -7 is less than zero):

After doing this, we will have reached the number -13.

Now we'll move 13 steps to the right (since 13 is greater than zero):

After doing this, we will have reached the number 0.

The solution to the equation is:

$(-6)+(-7)+13=0$

Therefore, the appropriate sign will be:

$0=0$

$=$