Examples with solutions for Addition and Subtraction of Directed Numbers: Number of terms

Exercise #1

25(5)+(6)4= 25-(-5)+(-6)-4=

Video Solution

Step-by-Step Solution

Let's remember the rule:

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

Let's write the exercise in the appropriate form:

25+5+(6)4= 25+5+(-6)-4=

Let's solve the exercise from left to right:

25+5=30 25+5=30

Now we get the exercise:

30+(6)4= 30+(-6)-4=

Let's remember the rule:

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

Let's write the exercise in the appropriate form:

3064= 30-6-4=

Let's solve the exercise from left to right:

306=24 30-6=24

244=20 24-4=20

Answer

20 20

Exercise #2

15+5(4)+(9)+84= 15+5-(-4)+(-9)+8-4=

Video Solution

Step-by-Step Solution

Let's remember the rule:

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

We'll write the exercise in the appropriate form:

15+5+4+(9)+84= 15+5+4+(-9)+8-4=

Let's solve the exercise from left to right:

15+5=20 15+5=20

Now we'll get the exercise:

20+4+(9)+84= 20+4+(-9)+8-4=

Let's solve the exercise from left to right:

20+4=24 20+4=24

Now we'll get the exercise:

24+(9)+84= 24+(-9)+8-4=

Let's remember the rule:

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

We'll write the exercise in the appropriate form:

249+84= 24-9+8-4=

Let's solve the exercise from left to right:

249=15 24-9=15

15+8=23 15+8=23

234=19 23-4=19

Answer

19 19

Exercise #3

27(7)+(6)+211= -27-(-7)+(-6)+2-11=

Video Solution

Step-by-Step Solution

First, we solve the multiplication exercise, that is where there is a plus or minus sign before another sign.

27+76+211= -27+7-6+2-11=

Now we solve as a common exercise from left to right:

27+7=20 -27+7=-20

206=26 -20-6=-26

26+2=24 -26+2=-24

2411=35 -24-11=-35

Answer

35 -35

Exercise #4

7.5+(9.5)+5+(13.5)=? 7.5+(-9.5)+5+(-13.5)=\text{?}

Video Solution

Step-by-Step Solution

Let's open the parentheses and pay attention to the minus and plus signs, which change accordingly:

+(9.5)=9.5 +(-9.5)=-9.5

+(13)=13 +(-13)=-13

We get:

7.59.5+513.5= 7.5-9.5+5-13.5=

Now let's solve the exercise from left to right:

2+513.5= -2+5-13.5=

313.5=10.5 3-13.5=-10.5

Answer

10.5 -10.5

Exercise #5

30(2)+(8)+5= -30-(-2)+(-8)+5=

Video Solution

Answer

31 -31

Exercise #6

30+4+(8)= -30+4+(-8)=

Video Solution

Answer

34 -34

Exercise #7

(4)+2+(3)+(5)= (-4)+2+(-3)+(-5)=

Video Solution

Answer

10 -10

Exercise #8

4+3+(6)+(9)= 4+3+(-6)+(-9)=

Video Solution

Answer

8 -8

Exercise #9

(30)+(2)+30+(5)= (-30)+(-2)+30+(-5)=

Video Solution

Answer

7 -7

Exercise #10

(10)+(3)+4+(12)= (-10)+(-3)+4+(-12)=

Video Solution

Answer

21 -21

Exercise #11

49+5+(2)+59= -\frac{4}{9}+5+(-2)+\frac{5}{9}=

Video Solution

Answer

289 \frac{28}{9}

Exercise #12

147+(3)12(14)= -\frac{14}{7}+(-3)-\frac{1}{2}-(-\frac{1}{4})=

Video Solution

Answer

214 -\frac{21}{4}

Exercise #13

5+12+10+(34)= -5+-\frac{1}{2}+10+(-\frac{3}{4})=

Video Solution

Answer

154 \frac{15}{4}

Exercise #14

38(58)(12)= -\frac{3}{8}-(-\frac{5}{8})-(-\frac{1}{2})=

Video Solution

Answer

34 \frac{3}{4}

Exercise #15

Solve:

416(38)+28+(14)= -\frac{4}{16}-(-\frac{3}{8})+\frac{2}{8}+(-\frac{1}{4})=

Video Solution

Answer

18 \frac{1}{8}

Exercise #16

3+(12)+(38)+58= -3+(-\frac{1}{2})+(\frac{3}{8})+\frac{5}{8}=

Video Solution

Answer

52 -\frac{5}{2}

Exercise #17

12+34+15+(45)= -\frac{1}{2}+\frac{3}{4}+-\frac{1}{5}+(-\frac{4}{5})=

Video Solution

Answer

34 -\frac{3}{4}