Addition and Subtraction of Directed Numbers: Applying the formula

Let's remember the rule:

$-(-x)=+$

We'll write the exercise in the appropriate form:

$14+(3)=$

We'll locate the number 14 on the number line, from which we'll move 3 steps to the right (since 3 is greater than zero):

We can see that we've reached the number 17.

Let's locate negative 10 on the number line.

Now let's look at the operation in the exercise, since the operation is $+3$

And since the number 3 is greater than 0, we will move three steps to the right from negative 10, where each step represents one whole number as follows:

We can see that the number we reached is negative 7.

Let's locate the number 14 on the number line.

Now let's look at the operation in the exercise, since the operation is $+(-19)$

And since minus 19 is less than 0, we will move nineteen steps to the left from the number 14, where each step represents one whole number as follows:

We can see that the number we reached is minus 5.

Let's locate the number 5 on the number line.

Now let's look at the operation in the exercise, since the operation is $+(-13)$

And since the number minus 13 is less than 0, we will move thirteen steps to the left from the number 5, where each step represents one whole number as follows:

We can see that the number we reached is minus 8.

We will locate the number negative 12 on the number line, and from there we will move 5 steps to the right (since 5 is greater than zero):

We can see that we have reached the number negative 7.

Let's remember the rule:

$-(-x)=+$

We'll write the exercise in the appropriate form:

$12+(2)=$

We'll locate the number 12 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 14.

Let's locate negative 15 on the number line.

Since negative 15 is less than 0, we will move fifteen steps to the left of zero, where each step represents one whole number as follows:

Now let's look at the operation in the exercise.

Since the operation is $+3$

And the number 3 is greater than 0, we will move three steps to the right from negative 15, where each step represents one whole number as follows:

We can see that the number we reached is negative 12.

Let's remember the following law:

$-(-x)=+$

Now let's write the exercise in the appropriate form:

$15+(4)=19$

Let's remember the rule:

$-(-x)=+$

We'll write the exercise in the appropriate form:

$-2+(5)=$

We'll locate the number minus 2 on the number line, from there we'll move 5 steps to the right (since 5 is greater than zero):

We can see that we've reached the number 3.

Let's locate negative 30 on the number line.

Since negative 30 is less than 0, we'll move thirty steps to the left of zero, where each step represents one whole number as follows:

Now let's look at the operation in the exercise, since the operation is $+30$

And since 30 is greater than 0, we'll move thirty steps to the right from negative 30, where each step represents one whole number as follows:

We can see that the number we reached is 0.

Let's locate the number 5 on the number line.

Since the number 5 is greater than 0, we'll move five steps to the right from zero, where each step represents one whole number as follows:

Now let's look at the operation in the exercise.

Since the operation is $+(-6)$

And the number minus 6 is less than 0, we'll move six steps to the left from number 5, where each step represents one whole number as follows:

We can see that we reached the number minus 1.

Let's locate the number 7 on the number line.

Since the number 7 is greater than 0, we will move seven steps to the right from zero, where each step represents one whole number as follows:

Now let's look at the operation in the exercise.

Since the operation is $+(-3)$

And the number minus 3 is less than 0, we will move three steps to the left from the number 7, where each step represents one whole number as follows:

We can see that the number we reached is 4.

Let's locate the number 16 on the number line, then move 20 steps to the left from it (since minus 20 is less than zero):

We can see that we have reached the number minus 4.

Let's locate negative 13 on the number line.

Now let's look at the operation in the exercise, since the operation is $+(-12)$

And since negative 12 is less than 0, we will move twelve steps to the left from negative 13, where each step represents one whole number as follows:

We can see that the number we reached is negative 25.

Let's locate the number negative 15 on the number line.

Now let's look at the operation in the exercise, since the operation is $+(-5)$

And since negative 5 is less than 0, we will move five steps to the left from negative 15, where each step represents one whole number as follows:

We can see that the number we reached is negative 20.

Let's locate the number negative 14 on the number line.

Now let's look at the operation in the exercise, since the operation is $+(-13)$

And since negative 13 is less than 0, we will move thirteen steps to the left from negative 14, where each step represents one whole number as follows:

We can see that the number we reached is negative 27.

Let's locate the number negative 22 on the number line.

We'll move 8 steps to the left (since negative 8 is less than zero):

We can see that we've arrived at the number negative 30.

Let's remember the rule:

$-(-x)=+$

We'll write the exercise in the appropriate form:

$-14+(7)=$

We'll locate the number negative 14 on the number line, from there we'll move 7 steps to the right (since 7 is greater than zero):

We can see that we've reached the number negative 7.

Let's remember the following rule:

$-(-x)=+$

Now let's write the exercise in the appropriate form:

$-30+(10)=$

We'll locate the number negative 30 on the number line.

We'll move 10 steps to the right (since 10 is greater than zero):

We can see that we've arrived at the number negative 20.

We will locate the number negative 36 on the number line, and from there we will move 6 steps to the right (since 6 is greater than zero):

We can see that we have reached the number minus 30.