Examples with solutions for Addition and Subtraction of Directed Numbers: Applying the formula

Exercise #1

14(3)= 14-(-3)=

Video Solution

Step-by-Step Solution

Let's remember the rule:

(x)=+ -(-x)=+

We'll write the exercise in the appropriate form:

14+(3)= 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):

0001112223334445557776668889991011121314151617

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

Answer

17 17

Exercise #2

12(2)= 12-(-2)=

Video Solution

Step-by-Step Solution

Let's remember the rule:

(x)=+ -(-x)=+

We'll write the exercise in the appropriate form:

12+(2)= 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):

-4-4-4-2-2-2000222444666888101214

We can see that we've reached the number 14.

Answer

14 14

Exercise #3

15(4)= 15-(-4)=

Video Solution

Step-by-Step Solution

Let's remember the following law:

(x)=+ -(-x)=+

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

15+(4)=19 15+(4)=19

Answer

19 19

Exercise #4

2(5)= -2-(-5)=

Video Solution

Step-by-Step Solution

Let's remember the rule:

(x)=+ -(-x)=+

We'll write the exercise in the appropriate form:

2+(5)= -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):

-10-10-10-8-8-8-6-6-6-4-4-4-2-2-2000222

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

Answer

3 3

Exercise #5

12+5= -12+5=

Video Solution

Step-by-Step Solution

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):

-12-12-12-10-10-10-8-8-8-6-6-6-4-4-4-2-2-2

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

Answer

7 -7

Exercise #6

22+(8)= -22+(-8)=

Video Solution

Step-by-Step Solution

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):

-21-21-21-22-22-22-23-23-23-24-24-24-25-25-25-26-26-26-27-27-27-28-28-28-29-29-29-30-30-30-31-31-31-32-32-32-33-33-33-34-34-34

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

Answer

30 -30

Exercise #7

30(10)= -30-(-10)=

Video Solution

Step-by-Step Solution

Let's remember the following rule:

(x)=+ -(-x)=+

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

30+(10)= -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):

-19-19-19-20-20-20-21-21-21-22-22-22-23-23-23-24-24-24-25-25-25-26-26-26-27-27-27-28-28-28-29-29-29-30-30-30-31-31-31-32-32-32

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

Answer

20 -20

Exercise #8

14(7)= -14-(-7)=

Video Solution

Step-by-Step Solution

Let's remember the rule:

(x)=+ -(-x)=+

We'll write the exercise in the appropriate form:

14+(7)= -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):

-10-10-10-8-8-8-6-6-6-4-4-4-2-2-2000-12-14

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

Answer

7 -7

Exercise #9

36+6= -36+6=

Video Solution

Step-by-Step Solution

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 m-36-34-32-30-28-26inus 30.

Answer

30 -30

Exercise #10

16+(20)= 16+(-20)=

Video Solution

Step-by-Step Solution

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):

-2-2-2000222444666888101010121416-4

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

Answer

4 -4

Exercise #11

5+(6)= 5+(-6)= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666777

Video Solution

Answer

1 -1

Exercise #12

(10)+3= (-10)+3= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222-7-7-7-8-8-8-9-9-9-10-10-10

Video Solution

Answer

7 -7

Exercise #13

15+3= -15+3= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333-7-7-7-15-15-15-14-14-14-13-13-13-12-12-12-11-11-11-10-10-10-9-9-9-8-8-8

Video Solution

Answer

12 -12

Exercise #14

5+(13)= 5+(-13)= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555-7-7-7-8-8-8

Video Solution

Answer

8 -8

Exercise #15

7+(3)= 7+(-3)= -6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666777

Video Solution

Answer

4 4

Exercise #16

14+(19)= 14+(-19)= 131313121212111111101010999888777666555444333222111000-1-1-1141414-2-2-2-3-3-3-5-5-5-4-4-4

Video Solution

Answer

5 -5

Exercise #17

30+30= -30+30=

Video Solution

Answer

0 0

Exercise #18

(13)+(12)= (-13)+(-12)= -13-13-13-14-14-14-15-15-15-16-16-16-17-17-17-18-18-18-19-19-19-20-20-20-21-21-21-22-22-22-23-23-23-24-24-24-25-25-25-26-26-26-27-27-27-12-12-12-28-28-28-29-29-29

Video Solution

Answer

25 -25

Exercise #19

(15)+(5)= (-15)+(-5)= -26-26-26-25-25-25-24-24-24-23-23-23-22-22-22-21-21-21-20-20-20-19-19-19-18-18-18-17-17-17-16-16-16-15-15-15-14-14-14-13-13-13

Video Solution

Answer

20 -20

Exercise #20

(14)+(13)= (-14)+(-13)= -14-14-14-15-15-15-16-16-16-17-17-17-18-18-18-19-19-19-20-20-20-21-21-21-22-22-22-23-23-23-24-24-24-25-25-25-26-26-26-27-27-27-28-28-28-13-13-13

Video Solution

Answer

27 -27