Evaluate the Expression: -2-(-2)+3?4-(-2) Step by Step

2(2)+3?4(2) -2-(-2)+3?4-(-2)

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:09 Let's pick the correct sign.
00:12 Remember: a negative times a negative is always positive.
00:16 Now let's open the parentheses.
00:24 Find the point, negative two, on the number line.
00:28 This number is positive, so let's move.
00:31 Jump two steps to the right, which is the positive direction.
00:36 Again, the number is positive.
00:39 Let's take three more steps to the right on the number line.
00:47 Great! That's it for the left side. Now, let's work on the right side.
00:52 Just like before, a negative times a negative equals positive.
00:57 Let's open those parentheses now.
01:00 And there you have it, the solution for the right side!
01:09 Moving to the right makes numbers grow larger.
01:13 That's how we solve this question. Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

2(2)+3?4(2) -2-(-2)+3?4-(-2)

2

Step-by-step solution

Let's solve the left side first.

Let's remember the rule:

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

Let's write the exercise in the appropriate form:

2+2+3= -2+2+3=

On the number line, we'll locate negative 2 and move two steps to the right (since 2 is greater than zero):

-5-5-5555-4-4-4-3-3-3-2-2-2-1-1-1000111222333444

We can see that we reached the number 0, and now we'll move three more steps to the right (since 3 is greater than zero):

-5-5-5555-4-4-4-3-3-3-2-2-2-1-1-1000111222333444

We can see that we reached the number 3.

Now let's solve the right side:

Again, let's remember the rule:

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

Let's write the exercise in the appropriate form and solve it:

4+2=6 4+2=6

Now we can see that the right side is greater than the left side, therefore:

3<6 3 < 6

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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