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

Question

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

Video Solution

Solution Steps

00:00 Choose the appropriate sign
00:03 Negative times negative is always positive
00:06 Let's open the parentheses
00:15 Find the point (-2) on the axis
00:19 The number is directed, positive
00:22 Take 2 jumps right (to the positive side) on the axis
00:27 The number is directed, positive
00:30 Take 3 jumps right (to the positive side) on the axis
00:38 This is the solution for the left side, now let's solve the right side
00:43 Negative times negative is always positive
00:46 Let's open the parentheses
00:49 This is the solution for the right side
01:00 As we move right on the axis, the number gets larger
01:03 And this is the solution to the question

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

Answer

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