Evaluate the Expression: 5 + (-4) + (-2) Compared to Zero

5+(4)+(2)?0 5+(-4)+(-2)\text{?}0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the appropriate sign
00:03 Let's start from point (5) on the positive (right) side of the axis
00:08 The number is directed and negative
00:13 The negative direction on the axis is left, so we'll take 4 to the left
00:22 The number is directed and negative
00:27 The negative direction on the axis is left, so we'll take 2 to the left
00:31 This is the solution for the left side
00:39 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

5+(4)+(2)?0 5+(-4)+(-2)\text{?}0

2

Step-by-step solution

Let's first solve the following equation:

5+(4)+(2)= 5+(-4)+(-2)=

Now we will locate the number 5 on the number line and move 4 steps to the left (since minus 4 is less than zero):

-8-7-6-5-4-3-2-101234675

This brings us to the number 1.

Now let's move two steps to the left (since minus 2 is less than zero):

-8-7-6-5-4-3-2-101234675

This leaves us on the number -1.

Therefore, the solution to the equation is:

5+(4)+(2)=1 5+(-4)+(-2)=-1

The missing sign is:

1<0 -1<0

3

Final Answer

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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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