Examples with solutions for Multiplication and division: Solving the problem

Exercise #1

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 #2

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 #3

What is the result of the following equation?

506×3÷2 50 - 6 \times 3 \div 2

Video Solution

Step-by-Step Solution

To solve the equation, follow the order of operations (PEMDAS/BODMAS):

1. Perform the multiplication and division from left to right:

6×3=18 6 \times 3 = 18

18÷2=9 18 \div 2 = 9

2. Subtract the result from 50:

509=41 50 - 9 = 41

Therefore, the correct answer is 41.

Answer

41

Exercise #4

What is the result of the following equation?

15+10÷5×23 15 + 10 \div 5 \times 2 - 3

Video Solution

Step-by-Step Solution

To solve the equation, follow the order of operations (PEMDAS/BODMAS):

1. Perform the division:

10÷5=2 10 \div 5 = 2

2. Perform the multiplication:

2×2=4 2 \times 2 = 4

3. Substitute back into the equation and perform the addition and subtraction from left to right:

15+43=16 15 + 4 - 3 = 16

Therefore, the correct answer is 16 16

Answer

16

Exercise #5

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 #6

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 #7

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 #8

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 #9

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 #10

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 #11

Solve the following problem using the order of operations:

81:9:3+18+2710=? 81:9:3+18+27-10=\text{?}

Video Solution

Step-by-Step Solution

According to the order of operations rules, we'll place the division exercises in parentheses:

(81:9:3)+18+2710= (81:9:3)+18+27-10=

Let's solve the expression in parentheses from left to right:

81:9=9 81:9=9

9:3=3 9:3=3

We should obtain the following expression:

3+18+2710= 3+18+27-10=

Let's solve the expression from left to right:

3+18=21 3+18=21

21+27=48 21+27=48

4810=38 48-10=38

Answer

38

Exercise #12

955+75+822=? 9\cdot5\cdot5+7-5+82-2=\text{?}

Video Solution

Step-by-Step Solution

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

(955)+75+822= (9\cdot5\cdot5)+7-5+82-2=

We solve the exercise in parentheses from left to right:

9×5=45 9\times5=45

45×5=225 45\times5=225

Now, we obtain the exercise:

225+75+822= 225+7-5+82-2=

We solve the exercise from left to right

225+7=232 225+7=232

2325=227 232-5=227

227+82=309 227+82=309

3092=307 309-2=307

Answer

307

Exercise #13

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