1. (2x) + 4 = 2(x + 4) → Incorrect; should be 2(x + 2)
2. 7 × (5×2) = (7×5) × 2 → Correct (Associative Property of Multiplication)
3. (4×6) × 9 = 4 × (6×9) → Correct (Associative Property of Multiplication)
4. 8 × (1×8) = 8 × 9 → Incorrect; 1×8=8, so 8×8=64, not 72
5. (10×4) × 3 = 10×4 + 10×3 → Incorrect; should be 10×(4×3) or distribute as 10×4×3
6. 95 = 91 + 6 → Incorrect; 91+6=97, not 95
7. 5 × (12×6) = (5×12) × 6 → Correct (Associative Property of Multiplication)
8. (8×7) × 5 = (7×8) × 5 → Correct (Commutative then Associative)
9. (12×2) × 8 = (8×4) × 6 → Incorrect; left=192, right=192 — numerically equal but not same grouping; associative property requires same numbers grouped differently
10. 3 × (2×6) = (3×2) × 6 → Correct (Associative Property of Multiplication)
Parent Tip: Review the logic above to help your child master the concept of properties of math worksheet pdf.
