Students evaluate parentheses-heavy expressions like (7 + 3) × (8 - 6), 40 ÷ (2 + 3) × 2, (16 + 4) ÷ 5 + 3 × 3, and 2 × (9 - 3) + 8 ÷ 4. The matching section pairs sibling expressions — 4 + 6 × 3 versus (4 + 6) × 3, plus 24 ÷ 8 + 5 and (24 + 6) ÷ 3 — with their correct values.
Comparing expressions that look almost identical except for parentheses shows fifth graders, in real time, how a single set of brackets can reroute an entire calculation.
Style:
Order of Operations (PEMDAS)
Part A: Fill in the Blank
Write the missing word or number on each line.
1. (7 + 3) × (8 - 6) = 20.
2. 5 × 4 + 18 ÷ 3 = 26.
3. (15 - 9) × 4 + 1 = 25.
4. 40 ÷ (2 + 3) × 2 = 16.
5. 6 × 3 - (4 + 5) = 9.
6. (16 + 4) ÷ 5 + 3 × 3 = 13.
7. 2 × (9 - 3) + 8 ÷ 4 = 14.
8. 48 ÷ 8 + 5 × (3 - 1) = 16.
9. (11 - 5) × (2 + 4) = 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
Order of Operations (PEMDAS)
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) (7 + 3) × (8 - 6) = 20.
2) 5 × 4 + 18 ÷ 3 = 26.
3) (15 - 9) × 4 + 1 = 25.
4) 40 ÷ (2 + 3) × 2 = 16.
5) 6 × 3 - (4 + 5) = 9.
6) (16 + 4) ÷ 5 + 3 × 3 = 13.
7) 2 × (9 - 3) + 8 ÷ 4 = 14.
8) 48 ÷ 8 + 5 × (3 - 1) = 16.
9) (11 - 5) × (2 + 4) = 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
Ready to Practice?
Complete each section carefully.
10 Questions
10-15 minutes
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