Examples with solutions for Addition, Subtraction, Multiplication and Division: Solving the problem

Exercise #1

902+98= ? 90-2+9-8=\text{ ?}

Video Solution

Step-by-Step Solution

According to the order of operations, we will solve the exercise from left to right since the only operations in it are addition and subtraction:

902=88 90-2=88

88+9=97 88+9=97

978=89 97-8=89

Answer

89

Exercise #2

103+75= 10-3+7-5= ?

Video Solution

Step-by-Step Solution

According to the order of operations, solve the exercise from left to right since the only operations in it are addition and subtraction:

103=7 10-3=7

7+7=14 7+7=14

145=9 14-5=9

Answer

9

Exercise #3

2569+73= 25-6-9+7-3=

Video Solution

Step-by-Step Solution

Due to the fact that the exercise only involves addition and subtraction operations, we will solve it from left to right:

256=19 25-6=19

199=10 19-9=10

10+7=17 10+7=17

173=14 17-3=14

Answer

14 14

Exercise #4

1459+7+2= 14-5-9+7+2=

Video Solution

Step-by-Step Solution

Due to the fact that the exercise only involves addition and subtraction operations, we will solve it from left to right:

145=9 14-5=9

99=0 9-9=0

0+7=7 0+7=7

7+2=9 7+2=9

Answer

9 9

Exercise #5

266+9+712= 26-6+9+7-12=

Video Solution

Step-by-Step Solution

Due to the fact that the exercise only involves addition and subtraction operations, we will solve it from left to right:

266=20 26-6=20

20+9=29 20+9=29

29+7=36 29+7=36

3612=24 36-12=24

Answer

24 24

Exercise #6

30+65+717= 30+6-5+7-17=

Video Solution

Step-by-Step Solution

Insofar as the exercise only involves addition and subtraction operations, we will solve it from left to right:

30+6=36 30+6=36

365=31 36-5=31

31+7=38 31+7=38

3817=21 38-17=21

Answer

21 21

Exercise #7

25+619+7= 25+6-19+7=

Video Solution

Step-by-Step Solution

Due to the fact that the exercise only involves addition and subtraction operations, we will solve it from left to right:

25+6=31 25+6=31

3119=12 31-19=12

12+7=19 12+7=19

Answer

19 19

Exercise #8

32419+37= 32-4-19+3-7=

Video Solution

Step-by-Step Solution

Due to the fact that the exercise only involves addition and subtraction operations, we will solve it from left to right:

324=28 32-4=28

2819=9 28-19=9

9+3=12 9+3=12

127=5 12-7=5

Answer

5 5

Exercise #9

2136+95= 21-3-6+9-5=

Video Solution

Step-by-Step Solution

Due to the fact that the exercise only involves addition and subtraction operations, we will solve it from left to right:

213=18 21-3=18

186=12 18-6=12

12+9=21 12+9=21

215=16 21-5=16

Answer

16 16

Exercise #10

12+64+1812= 12+6-4+18-12=

Video Solution

Step-by-Step Solution

Due to the fact that the exercise only involves addition and subtraction operations, we will solve it from left to right:

12+6=18 12+6=18

184=14 18-4=14

14+18=32 14+18=32

3212=20 32-12=20

Answer

20 20

Exercise #11

30:5×2= 30:5\times2=

Video Solution

Step-by-Step Solution

According to the rules of the order of operations, the exercise which contains both multiplication and division should be solved from left to right.

30:5=6 30:5=6

6×2=12 6\times2=12

Answer

12

Exercise #12

25×6941= 25\times6-9-41=

Video Solution

Step-by-Step Solution

According to the order of operations, we first put the multiplication exercise in parentheses to avoid confusion in the rest of the solution:

(25×6)941= (25\times6)-9-41=

Let's solve the multiplication exercise first:

150941= 150-9-41=

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

1509=141 150-9=141

14141=100 141-41=100

Answer

100 100

Exercise #13

Solve the following expression:

10×2:4= ? 10\times2:4=\text{ ?}

Video Solution

Step-by-Step Solution

The division and multiplication have the same priority according to the order of operations, therefore we solve it from left to right:

102=20 10\cdot2=20

20/4=5 20/4=5

Answer

5

Exercise #14

Solve the following problem using the order of operations:

5×5×212:4= 5\times5\times2-12:4=

Video Solution

Step-by-Step Solution

According to the order of operations rules, we first enter the multiplication and division exercises into parentheses:

(5×5×2)(12:4)= (5\times5\times2)-(12:4)=

Now let's solve the exercises in parentheses from left to right:

5×5=25 5\times5=25

25×2=50 25\times2=50

12:4=3 12:4=3

We obtain the following exercise:

503=47 50-3=47

Answer

47

Exercise #15

Solve the following problem using the order of operations:

24:243:3= 24:2-4-3:3=

Video Solution

Step-by-Step Solution

According to the order of operations rules, we first insert the multiplication and division exercises into parentheses:

(24:2)4(3:3)= (24:2)-4-(3:3)=

Let's solve the exercises in parentheses:

24:2=12 24:2=12

3:3=1 3:3=1

Now we have the expression:

1241= 12-4-1=

Let's solve the expression from left to right:

124=8 12-4=8

81=7 8-1=7

Answer

7

Exercise #16

80:4:2:5= 80:4:2:5=

Video Solution

Step-by-Step Solution

According to the rules of the order of operations we should first solve the exercise from left to right since it only contains a division operation:

80:4=20 80:4=20

20:2=10 20:2=10

10:5=2 10:5=2

Answer

2

Exercise #17

Solve the following problem using the order of operations:

253×4+4×2= 25-3\times4+4\times2=

Video Solution

Step-by-Step Solution

According to the order of operations, we will first solve the multiplication exercises.

We will put them in parentheses so that we don't get confused later in the solution:

25(3×4)+(4×2)= 25-(3\times4)+(4\times2)=

Let's solve the multiplication exercises:

3×4=12 3\times4=12

4×2=8 4\times2=8

We get:

2512+8= 25-12+8=

Let's solve the exercise from left to right:

2512=13 25-12=13

13+8=21 13+8=21

Answer

21 21

Exercise #18

Solve the following problem using PEDMAS:

100:210:2+3×465×2= 100:2-10:2+3\times4-6-5\times2=

Video Solution

Step-by-Step Solution

According to the order of operations rules, we first enter the multiplication and division operations into parentheses:

(100:2)(10:2)+(3×4)6(5×2)= (100:2)-(10:2)+(3\times4)-6-(5\times2)=

Now let's solve the operations within the parentheses:

100:2=50 100:2=50

10:2=5 10:2=5

3×4=12 3\times4=12

5×2=10 5\times2=10

We obtain the following expression:

505+12610= 50-5+12-6-10=

Let's solve the expression from left to right:

505=45 50-5=45

45+12=57 45+12=57

576=51 57-6=51

5110=41 51-10=41

Answer

41