Question: ORDER OF OPERATIONS
PEMDAS & BODMAS Rule — Practice Activity Sheet
Name: __________________________ Date: __________________________
Grade/
Sec: __________________________ Score: __________________________
⚡ Quick Reference Rule Guide
PEMDAS (US/Canada)
Parentheses → Exponents → Multiplication & Division
(Left-to-Right) → Addition & Subtraction (Left-to-Right)
BODMAS (UK/Global)
Brackets → Orders (Powers/Roots) → Division &
Multiplication (Left-to-Right) → Addition & Subtraction
(Left-to-Right)
Part I: Fundamental Practice (2-3 Operations)
Directions: Evaluate each expression step-by-step. Show your work in the box provided.
1.
$18 - 3 \times 4 + 2$
2.
$(12 + 8) \div 4 \times 3$
3.
$5 + 2^3 \times 3$
4.
$24 \div 6 \times 2 - 5$
Part II: Intermediate Practice (Nested Brackets & Powers)
Directions: Apply PEMDAS / BODMAS carefully. Remember to work from the innermost brackets outward and process
Multiplication/Division from left to right!
5.
$4 \times (15 - 3^2) + 10$
6.
$45 \div [3 \times (2 + 3)]$
1. Evaluate $18 - 3 \times 4 + 2$ using order of operations.
- According to PEMDAS/BODMAS, multiplication comes before addition and subtraction.
- Calculate $3 \times 4 = 12$.
- Substitute back: $18 - 12 + 2$.
- Perform subtraction and addition from left to right:
$$18 - 12 = 6$$
$$6 + 2 = 8$$
- Final answer: $8$
2. Evaluate $(12 + 8) \div 4 \times 3$.
- First, solve inside parentheses: $12 + 8 = 20$.
- Expression becomes $20 \div 4 \times 3$.
- Division and multiplication have the same priority, so proceed left to right.
- Calculate $20 \div 4 = 5$.
- Then $5 \times 3 = 15$.
- Final answer: $15$
3. Evaluate $5 + 2^3 \times 3$.
- Exponents first: $2^3 = 8$.
- Expression becomes $5 + 8 \times 3$.
- Multiplication next: $8 \times 3 = 24$.
- Then addition: $5 + 24 = 29$.
- Final answer: $29$
4. Evaluate $24 \div 6 \times 2 - 5$.
- Division and multiplication have the same priority, proceed left to right.
- Calculate $24 \div 6 = 4$.
- Then $4 \times 2 = 8$.
- Finally, subtraction: $8 - 5 = 3$.
- Final answer: $3$
5. Evaluate $4 \times (15 - 3^2) + 10$.
- Calculate exponent inside parentheses: $3^2 = 9$.
- Parentheses become $15 - 9 = 6$.
- Expression is $4 \times 6 + 10$.
- Multiply: $4 \times 6 = 24$.
- Add: $24 + 10 = 34$.
- Final answer: $34$
6. Evaluate $45 \div [3 \times (2 + 3)]$.
- Calculate inside inner parentheses: $2 + 3 = 5$.
- Multiply inside brackets: $3 \times 5 = 15$.
- Expression is $45 \div 15$.
- Divide: $45 \div 15 = 3$.
- Final answer: $3$