Free Order of Operations (PEMDAS) Worksheets PDF - Grade 5 & 6
Why Does Order Matter in Math?
Think about driving on the road. If everyone followed different traffic rules, there would be total chaos. Math works the same way! The order of operations is like the universal traffic code for mathematics. It makes sure that no matter where you are in the world, everyone solves problems in the same way and gets the same answer.
For example, look at this simple problem: 5 + 2 × 3. If you add first, you get 21. But if you multiply first, you get 11. That’s a big difference! To avoid confusion, mathematicians created a clear rule called PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). Following PEMDAS step by step ensures that every student, teacher, and calculator agrees on the same result.Practice and Become a Math Champion
To make learning more easier, we’ve designed free PEMDAS worksheets PDF for Grade 5 & 6 students. These worksheets include guided examples, practice problems, and fun exercises so you can master the order of operations without stress. By practicing regularly, you’ll build confidence and solve tricky expressions like a pro.
So, download the worksheets, follow the steps, and keep practicing. Remember, math is not about speed—it’s about understanding the rules. Once you get comfortable with PEMDAS, you’ll feel like a true champion in maths!
What is PEMDAS?
PEMDAS is an acronym used in the US (in the UK and Australia, it's often called BODMAS or BIMDAS) to remember the sequence of calculations:
- P - Parentheses ( ) [ ] { }: Solve anything inside grouping symbols first.
- E - Exponents (Powers and Square Roots): Calculate powers next.
- M / D - Multiplication and Division: These are tied! Solve them from Left to Right.
- A / S - Addition and Subtraction: These are also tied. Solve them from Left to Right.
Common Mistakes to Avoid
The biggest mistake students make with pemdas practice is assuming Multiplication always comes before Division. They are equals! If you see `10 ÷ 2 × 5`, you must divide first because the division sign is on the left.
Incorrect: `10 ÷ 10 = 1`
Correct: `5 × 5 = 25`
Step-by-Step Example
Let's solve: 5 + 2 × (8 - 3)
- Parentheses first: `(8 - 3)` becomes `5`. New expression: `5 + 2 × 5`
- Exponents? None.
- Multiplication: `2 × 5` becomes `10`. New expression: `5 + 10`
- Addition: `5 + 10` becomes `15`.
Frequently Asked Questions
What grade learns PEMDAS?
Order of operations is typically introduced in 5th grade (MDAS) and mastered in 6th grade (full PEMDAS with exponents). Our 5th grade math drills are perfect for this transition.
What is the difference between PEMDAS and BODMAS?
They are the same rules with different names! PEMDAS uses "Parentheses," while BODMAS uses "Brackets." Both yield the exact same results in our bodmas worksheets.
Are the answers always whole numbers?
Yes! Our generator uses a special logic engine to ensure that division always results in a whole integer (e.g., you won't get 7 ÷ 2). This makes it frustration-free for students.