Addition and Subtraction of Directed Numbers: Using the number line

$3+(-4)=$

We will locate the number 3 on the number line, then move 4 steps to the left from it (since minus 4 is less than zero):

We can see that we have reached the number minus 1.

$-1$

$-5-(-2)=$

Let's remember the rule:

$-(-x)=+x$

Therefore, the exercise we received is:

$-5+2=$

We'll locate minus 5 on the number line and move two steps to the right (since 2 is greater than zero):

We can see that we've arrived at the number minus 3.

$-3$

$3-(-2)=$

Let's remember the rule:

$-(-x)=+$

We'll write the exercise in the appropriate form:

$3+(2)=$

We'll locate the number 3 on the number line, from which we'll move 2 steps to the right (since 2 is greater than zero):

We can see that we've reached the number 5.

$5$

$-4+(-2)=$

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

We can see that we've arrived at the number minus 6.

$-6$

$-3-(-4)=$$$

Let's remember the rule:

$-(-x)=+$

We'll write the exercise in the appropriate form:

$-3+(4)=$

We'll locate the number negative 3 on the number line, from which we'll move 4 steps to the right (since 4 is greater than zero):

We can see that we've reached the number 1.

$1$

$10+(-12)=$

We will locate the number 10 on the number line, then move 12 steps to the left from it (since minus 12 is less than zero):

We can see that we have reached the number minus 2.

$-2$

$(-2)+3=$

$1$

$5+(-2)=$

$3$

$-4+7=$

$3$

$(-3)+(-3)=$

$-6$

$(-5)+(-2)=$

$-7$