Solve Integer Expression: 4 + 3 + (-6) + (-9)

4+3+(6)+(9)= 4+3+(-6)+(-9)=

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Step-by-step video solution

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00:00 Solve
00:03 The number is oriented and positive
00:07 The positive direction on the axis is to the right, so we'll take 4 to the right
00:13 The number is oriented and positive
00:16 The positive direction on the axis is to the right, so we'll take 3 to the right
00:22 The number is oriented and negative
00:25 The negative direction on the axis is to the left, so we'll take 6 to the left
00:36 The number is oriented and negative
00:39 The negative direction on the axis is to the left, so we'll take 9 to the left
00:51 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

4+3+(6)+(9)= 4+3+(-6)+(-9)=

2

Step-by-step solution

First, let's look at the first exercise:

4+3 4+3

We will locate the number 4 on the axis, and move right three steps, where each step represents a whole number in the following way:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666777

We can see that we reached the number 7.

Now we get the exercise:

7+(6)+(9)= 7+(-6)+(-9)=

Let's look at the exercise:

7+(6)= 7+(-6)=

We will locate the number 7 on the axis, and move left six steps, where each step represents a whole number in the following way:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666777

We can see that we reached the number 1.

Now we got the exercise:

1+(9)= 1+(-9)=

We will locate the number 1 on the axis, and move left nine steps, where each step represents a whole number in the following way:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333-7-7-7-8-8-8-9-9-9

We can see that we reached the number minus 8.

3

Final Answer

8 -8

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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