Order of Operations (PEMDAS) — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. (7 + 3) × (8 - 6) = 20.
Solve both sets of parentheses first: (7 + 3) = 10 and (8 - 6) = 2, then multiply 10 × 2 = 20.
2. 5 × 4 + 18 ÷ 3 = 26.
Multiply and divide first: 5 × 4 = 20 and 18 ÷ 3 = 6, then add to get 20 + 6 = 26.
3. (15 - 9) × 4 + 1 = 25.
Parentheses first: (15 - 9) = 6, then multiply 6 × 4 = 24, and finally add 1 to get 25.
4. 40 ÷ (2 + 3) × 2 = 16.
Parentheses first: (2 + 3) = 5, then work left to right: 40 ÷ 5 = 8, and 8 × 2 = 16.
5. 6 × 3 - (4 + 5) = 9.
Parentheses first: (4 + 5) = 9, then multiply 6 × 3 = 18, and finally subtract 18 - 9 = 9.
6. (16 + 4) ÷ 5 + 3 × 3 = 13.
Parentheses first: (16 + 4) = 20, then divide and multiply: 20 ÷ 5 = 4 and 3 × 3 = 9, then add 4 + 9 = 13.
7. 2 × (9 - 3) + 8 ÷ 4 = 14.
Parentheses first: (9 - 3) = 6, then multiply and divide: 2 × 6 = 12 and 8 ÷ 4 = 2, then add 12 + 2 = 14.
8. 48 ÷ 8 + 5 × (3 - 1) = 16.
Parentheses first: (3 - 1) = 2, then divide and multiply: 48 ÷ 8 = 6 and 5 × 2 = 10, then add 6 + 10 = 16.
9. (11 - 5) × (2 + 4) = 36.
Solve both sets of parentheses first: (11 - 5) = 6 and (2 + 4) = 6, then multiply 6 × 6 = 36.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
4 + 6 × 3
→ 22
30
(4 + 6) × 3
→ 30
10
24 ÷ 8 + 5
→ 8
22
(24 + 6) ÷ 3
→ 10
8
Correct matches: 4 + 6 × 3 → 22; (4 + 6) × 3 → 30; 24 ÷ 8 + 5 → 8; (24 + 6) ÷ 3 → 10.