PEMDAS Power-Up Anchor Chart

P: Parentheses ( )
– Do all operations inside parentheses first.

E: Exponents (², ³, √ )
– Evaluate powers and roots next.

M → D: Multiplication & Division (left → right)
– Perform multiplication and division in the order they appear from left to right.

A → S: Addition & Subtraction (left → right)
– Perform addition and subtraction in the order they appear from left to right.

Worked Examples

1. 4 + 3 × 2
     Step 1: Multiply → 3 × 2 = 6
     Step 2: Add → 4 + 6 = 10
   Answer: 10

2. (6 − 2) × 5 + 3²
     Step 1: Parentheses → 6 − 2 = 4
     Step 2: Exponent → 3² = 9
     Step 3: Multiplication → 4 × 5 = 20
     Step 4: Addition → 20 + 9 = 29
   Answer: 29

Keep this chart visible during class to help you remember the order of operations every time you solve expressions!

PEMDAS Practice Worksheet

Follow the order of operations (PEMDAS) to evaluate each expression.
For Problems 1–4, show every step (P → E → M/D → A/S) in the space provided.
For Problems 5–8, solve independently and record your final answer.

Guided Practice (Show Your Work)

1. 8 ÷ 2 + 5 × 3
   Work step-by-step:
   
   
   
   
   
   
   
   
   
   
   
   
   Answer: ____________________
   
2. 7 + (4 × 2) − 3
   Work step-by-step:
   
   
   
   
   
   
   
   
   
   
   
   
   Answer: ____________________
   
3. (6 − 1) + 4 × 2
   Work step-by-step:
   
   
   
   
   
   
   
   
   
   
   
   
   Answer: ____________________
   
4. 9 − 3 + 2 × (1 + 1)
   Work step-by-step:
   
   
   
   
   
   
   
   
   
   
   
   
   Answer: ____________________

Independent Practice

5. (5 + 3) × 2 − 4
   Answer: ____________________
   
   
   
   
6. 2³ + 6 ÷ 3
   Answer: ____________________
   
   
   
   
7. 5 + 6 × (2 + 1)
   Answer: ____________________
   
   
   
   
8. 9 − (4 ÷ 2) + 7
   Answer: ____________________
   
   
   
   

Good luck! Remember: Parentheses, Exponents, Multiplication/Division (L→R), Addition/Subtraction (L→R).

PEMDAS Answer Key

This key provides detailed, step-by-step solutions for both the Practice Worksheet and the Quick-Check Quiz. Use it to guide your grading and to help students see the order of operations in action.

Worksheet Solutions

Guided Practice (Show Your Work)

1) 8 ÷ 2 + 5 × 3

• Step 1 (Division, M/D L→R): 8 ÷ 2 = 4
• Step 2 (Multiplication): 5 × 3 = 15
• Step 3 (Addition): 4 + 15 = 19
  Answer: 19

2) 7 + (4 × 2) − 3

• Step 1 (Parentheses): 4 × 2 = 8
• Step 2 (Addition): 7 + 8 = 15
• Step 3 (Subtraction): 15 − 3 = 12
  Answer: 12

3) (6 − 1) + 4 × 2

• Step 1 (Parentheses): 6 − 1 = 5
• Step 2 (Multiplication): 4 × 2 = 8
• Step 3 (Addition): 5 + 8 = 13
  Answer: 13

4) 9 − 3 + 2 × (1 + 1)

• Step 1 (Parentheses): 1 + 1 = 2
• Step 2 (Multiplication): 2 × 2 = 4
• Step 3 (Subtraction then Addition, A/S L→R): 9 − 3 = 6 → 6 + 4 = 10
  Answer: 10

Independent Practice (Final Answers)

5) (5 + 3) × 2 − 4
Step 1 (Parentheses): 5 + 3 = 8;
Step 2 (Multiplication): 8 × 2 = 16;
Step 3 (Subtraction): 16 − 4 = 12
Answer: 12

6) 2³ + 6 ÷ 3
Step 1 (Exponent): 2³ = 8;
Step 2 (Division): 6 ÷ 3 = 2;
Step 3 (Addition): 8 + 2 = 10
Answer: 10

7) 5 + 6 × (2 + 1)
Step 1 (Parentheses): 2 + 1 = 3;
Step 2 (Multiplication): 6 × 3 = 18;
Step 3 (Addition): 5 + 18 = 23
Answer: 23

8) 9 − (4 ÷ 2) + 7
Step 1 (Parentheses): 4 ÷ 2 = 2;
Step 2 (Subtraction then Addition): 9 − 2 = 7 → 7 + 7 = 14
Answer: 14

Quick-Check Quiz Solutions

1) 9 − 3 + 2 × 4

• Step 1 (Multiplication): 2 × 4 = 8
• Step 2 (Subtraction then Addition): 9 − 3 = 6 → 6 + 8 = 14
  Answer: 14

2) (8 ÷ 2) + 3²

• Step 1 (Parentheses): 8 ÷ 2 = 4
• Step 2 (Exponent): 3² = 9
• Step 3 (Addition): 4 + 9 = 13
  Answer: 13

3) 5 + 6 × (2 + 1)

• Step 1 (Parentheses): 2 + 1 = 3
• Step 2 (Multiplication): 6 × 3 = 18
• Step 3 (Addition): 5 + 18 = 23
  Answer: 23

Use these fully worked solutions to confirm student work, identify common misconceptions, and plan targeted reteaching.