Solve -30 + 4 + (-8): Adding Multiple Negative Numbers

Solve the following equation:

30+4+(8)= -30+4+(-8)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's find the solution together.
00:13 First, imagine taking 4 steps to the right, on the positive side of the number line.
00:34 This will help us calculate the operation.
00:44 Next, let's take 8 steps to the left, towards the negative side of the number line.
01:04 And that's how we find the answer to the problem.

Step-by-step written solution

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1

Understand the problem

Solve the following equation:

30+4+(8)= -30+4+(-8)=

2

Step-by-step solution

Let's begin by locating negative 30 on the number line and moving 4 steps to the right (since 4 is greater than zero):

-27-27-27-28-28-28-29-29-29-30-30-30-31-31-31-32-32-32-33-33-33-34-34-34-35-35-35-36-36-36-37-37-37-38-38-38-39-39-39-40-40-40-26-26-26

We reach negative 26.

Resulting in the following exercise:

26+(8)= -26+(-8)=

Now let's locate negative 26 on the number line and move 8 steps to the left (since negative 8 is less than zero):

-27-27-27-28-28-28-29-29-29-30-30-30-31-31-31-32-32-32-33-33-33-34-34-34-35-35-35-36-36-36-37-37-37-38-38-38-39-39-39-40-40-40-26-26-26We reach negative 34

3

Final Answer

34 -34

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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