Students complete nine mixed-operation fill-in-the-blank problems including expressions with and without parentheses. The matching activity pairs four expressions — 5 + 3 × 4, (5 + 3) × 4, 12 ÷ 4 + 2, and (12 + 4) ÷ 2 — with their correct values.
Matching parenthetical and non-parenthetical versions of similar expressions directly shows how one pair of parentheses changes the evaluation order — and the result — of an otherwise identical expression.
Style:
Order of Operations (PEMDAS)
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 3 + 4 × 2 - 1 = 10.
2. (5 + 3) × 2 - 4 = 12.
3. 18 ÷ 3 + 2 × 5 = 16.
4. 7 × 3 - 10 ÷ 2 = 16.
5. (12 - 4) ÷ 2 + 6 = 10.
6. 9 + 3 × (4 - 1) = 18.
7. 20 ÷ (2 + 3) + 7 = 11.
8. 6 × 4 - 3 × 5 = 9.
9. (8 + 2) × (9 - 6) = 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
Order of Operations (PEMDAS)
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) 3 + 4 × 2 - 1 = 10.
2) (5 + 3) × 2 - 4 = 12.
3) 18 ÷ 3 + 2 × 5 = 16.
4) 7 × 3 - 10 ÷ 2 = 16.
5) (12 - 4) ÷ 2 + 6 = 10.
6) 9 + 3 × (4 - 1) = 18.
7) 20 ÷ (2 + 3) + 7 = 11.
8) 6 × 4 - 3 × 5 = 9.
9) (8 + 2) × (9 - 6) = 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
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10 Questions
10-15 minutes
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