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

Question

Solve the following problem:

(10)+(3)+4+(12)= (-10)+(-3)+4+(-12)=

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

Begin by observing the first exercise:

(10)+(3) (-10)+(-3)

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

-16-16-16-11-11-11-12-12-12-13-13-13-14-14-14-15-15-15-9-9-9-10-10-10

We reached the number minus 13.

Obtaining the following exercise:

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

The next exercise is:

(13)+4 (-13)+4

Locate the number minus 13 on the number line, and move four steps to the right where each step represents one whole number:

-16-16-16-11-11-11-12-12-12-13-13-13-14-14-14-15-15-15-9-9-9-10-10-10

We reached the number minus 9.

Obtaining the following exercise:

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

Locate the number minus 9 on the number line, and move twelve steps to the left where each step represents one whole number:

-16-16-16-11-11-11-12-12-12-13-13-13-14-14-14-15-15-15-9-9-9-10-10-10-21-21-21-20-20-20-19-19-19-18-18-18-17-17-17

We reached the number minus 21.

Answer

21 -21