Examples with solutions for Multiplication and division: Solving the problem

Exercise #1

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 #2

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 #3

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 #4

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 #5

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 #6

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 #7

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 #8

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