Evaluate the Expression: 2+(-4)+(-4) Compared to 6

Question

Using the number line below select the appropriate sign for the following expression:

$2+(-4)+(-4)\text{?}6$

00:00 Choose the appropriate sign

00:04 Let's start from point (2) on the positive side of the axis

00:07 The number is directed and negative

00:10 The negative direction on the axis is to the left, so we'll take 4 to the left

00:17 The number is directed and negative

00:23 The negative direction on the axis is to the left, so we'll take 4 to the left

00:32 This is the solution for the left side

00:39 And this is the solution to the question

Let's begin by solving the following equation:

$2+(-4)+(-4)=$

We'll locate the number 2 on the number line, and move 4 steps left from zero (since minus 4 is less than zero):

We reach minus 2.

Now let's move 4 steps left again from minus 2 (since minus 4 is less than zero):

We reach minus 6.

Therefore:

$2+(-4)+(-4)=-6$

So the correct sign will be:

$-6 < 6$

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