Order of Operations (PEMDAS) — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 3 + 4 × 2 - 1 = 10.
Multiply first: 4 × 2 = 8. Then left to right: 3 + 8 − 1 = 10.
2. (5 + 3) × 2 - 4 = 12.
Parentheses: (5 + 3) = 8. Multiply: 8 × 2 = 16. Subtract: 16 − 4 = 12.
3. 18 ÷ 3 + 2 × 5 = 16.
Multiplication and division first (left to right): 18 ÷ 3 = 6 and 2 × 5 = 10. Then add: 6 + 10 = 16.
4. 7 × 3 - 10 ÷ 2 = 16.
Multiply and divide first: 7 × 3 = 21 and 10 ÷ 2 = 5. Then subtract: 21 − 5 = 16.
5. (12 - 4) ÷ 2 + 6 = 10.
Parentheses: (12 − 4) = 8. Divide: 8 ÷ 2 = 4. Add: 4 + 6 = 10.
6. 9 + 3 × (4 - 1) = 18.
Parentheses: (4 − 1) = 3. Multiply: 3 × 3 = 9. Add: 9 + 9 = 18.
7. 20 ÷ (2 + 3) + 7 = 11.
Parentheses: (2 + 3) = 5. Divide: 20 ÷ 5 = 4. Add: 4 + 7 = 11.
8. 6 × 4 - 3 × 5 = 9.
Multiply both (left to right): 6 × 4 = 24 and 3 × 5 = 15. Subtract: 24 − 15 = 9.
9. (8 + 2) × (9 - 6) = 30.
Both parentheses: (8 + 2) = 10 and (9 − 6) = 3. Multiply: 10 × 3 = 30.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
5 + 3 × 4
→ 17
32
(5 + 3) × 4
→ 32
5
12 ÷ 4 + 2
→ 5
8
(12 + 4) ÷ 2
→ 8
17
5+3×4=5+12=17; (5+3)×4=8×4=32; 12÷4+2=3+2=5; (12+4)÷2=16÷2=8.