Order of Operations Practice: Multiplication Division Problems

Master PEMDAS with step-by-step multiplication and division practice problems. Learn parentheses rules, solve complex expressions, build confidence.

📚Master Multiplication and Division in Order of Operations
  • Solve expressions with parentheses using correct PEMDAS order
  • Practice multiplication and division from left to right calculations
  • Master mixed operations combining multiplication, division, addition and subtraction
  • Apply order of operations rules to multi-step word problems
  • Build confidence with step-by-step guided practice problems
  • Learn when parentheses change expression results completely

Understanding Multiplication and division

Complete explanation with examples

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.

Detailed explanation

Practice Multiplication and division

Test your knowledge with 20 quizzes

\( 4 \times 3 \times 2 = \)

Examples with solutions for Multiplication and division

Step-by-step solutions included
Exercise #1

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

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

Video Solution
Exercise #2

2+5×3= 2 + 5 \times 3 =

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

Video Solution
Exercise #3

3+4×2= 3 + 4 \times 2 =

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

Video Solution
Exercise #4

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

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
Video Solution
Exercise #5

10÷2÷1= 10 \div 2 \div 1 =

Step-by-Step Solution

First, perform the division: 10÷2=5 10 \div 2 = 5 .

Next, divide the result by 1: 2÷1=2 2 \div 1 = 2 .

So, the answer is 2 2 .

Answer:

5

Video Solution

Frequently Asked Questions

What is the correct order for multiplication and division in PEMDAS?

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Multiplication and division have equal priority and are solved from left to right, whichever comes first. They come after parentheses but before addition and subtraction in the order of operations.

Do I multiply before dividing in order of operations?

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No, multiplication and division have equal priority. You solve them from left to right, whichever operation appears first in the expression. For example, in 50÷10×4, you divide first: 50÷10=5, then multiply: 5×4=20.

How do parentheses change multiplication and division problems?

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Parentheses are solved first and can completely change the result. For example, 50÷10×4=20, but 50÷(10×4)=50÷40=1.25. Always solve what's inside parentheses before other operations.

What are common mistakes students make with order of operations?

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Common mistakes include: 1) Solving left to right without following PEMDAS, 2) Ignoring parentheses, 3) Thinking multiplication always comes before division, 4) Not rewriting expressions after each step to avoid confusion.

How do I solve expressions with multiple parentheses and operations?

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Follow these steps: 1) Solve all parentheses first, 2) Rewrite the expression without parentheses, 3) Solve multiplication and division from left to right, 4) Rewrite again, 5) Solve addition and subtraction from left to right.

Why do we rewrite expressions after each step in order of operations?

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Rewriting makes the expression shorter and clearer after each step, reducing confusion and calculation errors. It helps you track your progress and ensures you don't miss any operations or make mistakes with complex expressions.

What does BODMAS mean and how does it relate to multiplication and division?

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BODMAS stands for Brackets, Orders, Division/Multiplication, Addition/Subtraction. It's the same as PEMDAS but uses different terms. Division and multiplication have equal priority and are solved left to right, just like in PEMDAS.

Can I use the commutative property with multiplication in order of operations?

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Yes, you can rearrange multiplication terms using the commutative property to make calculations easier. For example, in 50×9×2, you could solve 50×2=100 first, then 100×9=900, instead of going strictly left to right.

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