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

Exercise #1

10×2:4= 10\times2:4=

Video Solution

Step-by-Step Solution

Division and multiplication are on the same level of order of operations,

therefore, when encountering such a case, we will always solve from left to right.

 

10*2=20

20/4=5

Answer

5

Exercise #2

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 #3

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

Video Solution

Step-by-Step Solution

According to the order of operations rules, we will 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 #4

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 #5

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 #6

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

Now we get the exercise:

503=47 50-3=47

Answer

47

Exercise #7

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 #8

902+98= 90-2+9-8=

Video Solution

Step-by-Step Solution

According to the order of operations rules, 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 #9

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 #10

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 #11

14:25:7+12+25=? 14:2\cdot5:7+12+25=\text{?}

Video Solution

Step-by-Step Solution

According to the rules for the order of operations, we will isolate the multiplication and division exercises in parentheses:

(14:25:7)+12+25= (14:2\cdot5:7)+12+25=

We solve the exercise in parentheses from left to right:

14:2=7 14:2=7

7×5=35 7\times5=35

35:7=5 35:7=5

Now we obtain the exercise:

5+12+25= 5+12+25=

We solve the exercise from left to right:

5+12=17 5+12=17

17+25=42 17+25=42

Answer

42

Exercise #12

80:10:55:25=? 80:10:5\cdot5:25=\text{?}

Video Solution

Step-by-Step Solution

According to the rules of the order of operations, we solve the exercise from left to right since the exercise only involves multiplication and division:

80:10=8 80:10=8

8:5=85 8:5=\frac{8}{5}

85×5=8 \frac{8}{5}\times5=8

8:25=825 8:25=\frac{8}{25}

Answer

825 \frac{8}{25}

Exercise #13

24:8:3+262+19=? 24:8:3+2\cdot6\cdot2+19=\text{?}

Video Solution

Step-by-Step Solution

According to the rules for the order of operations, we will place multiplication and division exercises in parentheses:

(24:8:3)+(262)+19= (24:8:3)+(2\cdot6\cdot2)+19=

We solve the division exercises in parentheses from left to right:

24:8=3 24:8=3

3:3=1 3:3=1

We solve the multiplication exercises in parentheses from left to right:

2×6=12 2\times6=12

12×2=24 12\times2=24

Now we get the exercise:

1+24+19= 1+24+19=

We solve the exercise from left to right:

1+24=25 1+24=25

25+19=44 25+19=44

Answer

44

Exercise #14

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 #15

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 #16

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 #17

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 #18

255317+13= 25-5-3-17+13=

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:

255=20 25-5=20

203=17 20-3=17

1717=0 17-17=0

0+13=13 0+13=13

Answer

13 13

Exercise #19

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 #20

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