Solve: (-10) + (-3) + 4 + (-12) - Adding Multiple Positive and Negative Numbers

Video Solution

Solution Steps

00:00 Solve

00:07 Let's start from point (-10) on the axis

00:11 The number is directed and negative

00:14 The negative direction on the axis is left, so we'll go 3 left

00:27 Now we'll continue from this point on the axis (-13)

00:31 The number is directed and positive

00:36 The positive direction on the axis is right, so we'll go 4 right

00:54 Now we'll continue from this point on the axis (9)

00:59 The number is directed and negative

01:03 The negative direction on the axis is left, so we'll go 12 left

01:19 And this is the solution to the question

Step-by-Step Solution

First, let's look at the first exercise:

$(-10)+(-3)$

We will locate the number minus 10 on the number line, and move left three steps, where each step represents one whole number:

We can see that we reached the number minus 13.

Now we got the exercise:

$(-13)+4+(-12)=$

The next exercise is:

$(-13)+4$

We will locate the number minus 13 on the number line, and move right four steps where each step represents one whole number:

We can see that we reached the number minus 9.

Now we got the exercise:

$(-9)+(-12)=$

We will locate the number minus 9 on the number line, and move left twelve steps where each step represents one whole number:

We can see that the number we reached is minus 21.