Multiplication and division in order of operations

Multiplication and division are the second step in the order of operations, immediately after opening parentheses.

The first stage -

Opening parentheses and solving everything inside them.
If multiplication and division appear along with addition and subtraction, multiplication and division come first, followed by addition and subtraction from left to right.
Then we rewrite the expression without parentheses.

The second stage -

Multiplication and division in order, from left to right.
We will rewrite the new exercise after solving the multiplication and division.

The Third Stage -

Addition and subtraction in order.
We add and subtract from left to right.

Detailed explanation of the multiplication and division steps in the order of operations (BODMAS/PEMDAS). Highlights rules for processing multiplication and division in mathematical expressions.

Suggested Topics to Practice in Advance

  1. Addition and Subtraction

Practice Multiplication and division

Examples with solutions for Multiplication and division

Exercise #1

What is the result of the following equation?

364÷2 36-4\div2

Video Solution

Step-by-Step Solution

The given equation is 364÷2 36 - 4 \div 2 . To solve this, we must follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).


Step 1: Division

  • Identify the division operation in the equation: 4÷2 4 \div 2 .

  • Perform the division: 4÷2=2 4 \div 2 = 2 .


Now the equation becomes: 362 36 - 2 .


Step 2: Subtraction

  • Perform the subtraction: 362=34 36 - 2 = 34 .

Therefore, the result of the equation 364÷2 36 - 4 \div 2 is 34 34 .

Answer

34

Exercise #2

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 #3

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 #4

3+4×2= 3 + 4 \times 2 =

Video Solution

Step-by-Step Solution

According to the order of operations, you should first calculate the multiplication, then the addition:

4×2=8 4 \times 2 = 8

Then add the result to 3:

3+8=11 3 + 8 = 11

Answer

11

Exercise #5

9×24= 9 \times 2 - 4 =

Video Solution

Step-by-Step Solution

First perform the multiplication:

9×2=18 9 \times 2 = 18

Then subtract 4:

184=14 18 - 4 = 14

Answer

14

Exercise #6

6/2+5= 6 / 2 + 5 =

Video Solution

Step-by-Step Solution

First, perform the division:

6/2=3 6 / 2 = 3

Then add 5:

3+5=8 3 + 5 = 8

Answer

8

Exercise #7

2+5×3= 2 + 5 \times 3 =

Video Solution

Step-by-Step Solution

According to the order of operations, multiplication should be performed before addition. So, first calculate the multiplication:

5×3=15 5 \times 3 = 15

Then add 2 to the result:

2+15=17 2 + 15 = 17

Therefore, the correct answer is:

17 17

Answer

17

Exercise #8

6×24= 6 \times 2 - 4 =

Video Solution

Step-by-Step Solution

First, perform the multiplication operation:

6×2=12 6 \times 2 = 12

Then subtract 4 from the result:

124=8 12 - 4 = 8

Therefore, the correct answer is:

8 8

Answer

8

Exercise #9

9:3+2= 9:3+2=

Video Solution

Step-by-Step Solution

According to the order of operations, both addition and subtraction can be solved from left to right. So, first subtract 3 from 9:

9:3=3 9:3=3

Then add 2 to the result:

3+2=5 3+2=5

Therefore, the correct answer is:

5 5

Answer

5

Exercise #10

5×2+1= 5 \times 2 + 1 =

Video Solution

Step-by-Step Solution

First, perform the multiplication operation:

5×2=10 5 \times 2 = 10

Then add 1 to the result:

10+1=11 10 + 1 = 11

Therefore, the correct answer is:

11 11

Answer

11

Exercise #11

5+4×2= 5+4\times2=

Video Solution

Step-by-Step Solution

To solve the expression 5+3×2 5 + 3 \times 2 , we follow the order of operations (PEMDAS/BODMAS).

1. First, we perform the multiplication:

4×2=8 4\times2=8

2. Next, we add the result to 5:

5+8=13 5+8=13

Therefore, the final answer is 13 13 .

Answer

13

Exercise #12

3×2×4= 3 \times 2 \times 4 =

Video Solution

Step-by-Step Solution

First, we calculate the product of the first two numbers: 3×2=6 3 \times 2 = 6 .

Then, we multiply the result by the third number: 6×4=24 6 \times 4 = 24 .

Therefore, 3×2×4=24 3 \times 2 \times 4 = 24 .

Answer

24

Exercise #13

2×5×3= 2 \times 5 \times 3 =

Video Solution

Step-by-Step Solution

First, we calculate the product of the first two numbers: 2×5=10 2 \times 5 = 10 .

Then, we multiply the result by the third number: 10×3=30 10 \times 3 = 30 .

Therefore, 2×5×3=30 2 \times 5 \times 3 = 30 .

Answer

30

Exercise #14

4×3×2= 4 \times 3 \times 2 =

Video Solution

Step-by-Step Solution

First, we calculate the product of the first two numbers: 4×3=12 4 \times 3 = 12 .

Then, we multiply the result by the third number: 12×2=24 12 \times 2 = 24 .

Therefore, 4×3×2=24 4 \times 3 \times 2 = 24 .

Answer

24

Exercise #15

8+3×2= 8 + 3 \times 2 =

Video Solution

Step-by-Step Solution

To solve 8+3×2 8 + 3 \times 2 , follow the order of operations (PEMDAS/BODMAS):

  1. First, perform the multiplication: 3×2=6 3 \times 2 = 6 .

  2. Then, add the result to 8: 8+6=14 8 + 6 = 14 .

Thus, the answer is14 14 .

Answer

14

Topics learned in later sections

  1. Parentheses