Solve: (-30) + (-2) + 30 + (-5) Step by Step

(30)+(2)+30+(5)= (-30)+(-2)+30+(-5)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:09 We'll use the commutative law to arrange the exercise in a way that's convenient to solve
00:18 Let's simplify what we can
00:35 The number is intentional, and negative
00:40 Let's start from point (-2) on the axis
00:42 The negative direction on the axis is to the left, so we'll take 5 to the left
01:00 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

(30)+(2)+30+(5)= (-30)+(-2)+30+(-5)=

2

Step-by-step solution

First, let's organize the exercise in a way that will make it easier and more convenient to solve.

Notice that the number 30 appears twice in the exercise, so let's start with it:

(30)+30+(2)+(5)= (-30)+30+(-2)+(-5)=

Let's look at the exercise:

30+30 -30+30

Since we move left from zero to minus 30, and then return right 30 steps, we will arrive at the same number we started from: 0

-30-30-30000+30

Now let's continue the exercise in the following way:

0+(2)+(5)= 0+(-2)+(-5)=

We'll locate the number minus 2 on the number line, and move left five steps where each step represents one whole number:

-5-5-5000-1-1-1-2-2-2-3-3-3-4-4-4222111-8-8-8-7-7-7-6-6-6

We can see that we arrived at minus 7.

3

Final Answer

7 -7

Practice Quiz

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What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

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