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

Question

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

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

Let's solve 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 arrived at minus 2.

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

We arrived at minus 6.

Therefore:

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

So the correct sign will be:

$-6 < 6$

$<$