Solve the Integer Equation: -30-(-2)+(-8)+5

Solve the following equation:

30(2)+(8)+5= -30-(-2)+(-8)+5=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Negative times negative always equals positive
00:07 Open parentheses
00:13 Take 2 jumps right (to the positive side) on the axis
00:22 This is the solution to the operation
00:33 Take 8 jumps left (to the negative side) on the axis
00:46 This is the solution to the operation
01:00 Take 5 jumps right (to the positive side) on the axis
01:20 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve the following equation:

30(2)+(8)+5= -30-(-2)+(-8)+5=

2

Step-by-step solution

Let's begin by applying the following rule in order to rewrite the equation:

(x)=+ -(-x)=+

30+2+(8)+5= -30+2+(-8)+5=

28+(8)+5= -28+(-8)+5=

Next we will locate negative 28 on the number line and proceed 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

We reach negative 36.

Resulting in the following exercise:

36+5= -36+5=

\

Next we locate negative 36 on the number line and proceed 5 steps to the right (since 5 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

We reach negative 31

3

Final Answer

31 -31

Practice Quiz

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\( (-8)-(-13)= \)

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