Properties of Multiplication — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Grade 3: which property does 4 x 7 = 7 x 4 show?
A) Commutative
B) Associative
C) Distributive
D) Identity
Grade 3 commutative property: a x b = b x a.
2. Grade 3: which property does (2 x 3) x 5 = 2 x (3 x 5) show?
A) Distributive
B) Associative
C) Zero
D) Identity
Grade 3 associative property: (a x b) x c = a x (b x c).
3. Grade 3: which property does 6 x (4 + 2) = 6 x 4 + 6 x 2 show?
A) Identity
B) Commutative
C) Distributive
D) Zero
Grade 3 distributive: a x (b + c) = a x b + a x c.
4. Grade 3: which property does 15 x 0 = 0 show?
A) Identity
B) Zero
C) Commutative
D) Distributive
Grade 3 zero property: n x 0 = 0 for every n.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Grade 3: 9 x 1 = 9 shows the identity property of multiplication.
Grade 3 identity property: n x 1 = n.
2. Grade 3: 3 x 8 = 8 x 3 shows the commutative property.
Grade 3 commutative: a x b = b x a.
3. Grade 3: (4 x 5) x 2 = 4 x (5 x 2) shows the associative property.
Grade 3 associative property lets us regroup factors.
4. Grade 3: 5 x (3 + 4) = 5 x 3 + 5 x 4 shows the distributive property.
Grade 3 distributive: a x (b + c) = a x b + a x c.
5. Grade 3: 23 x 0 = 0 shows the zero property of multiplication.
Grade 3 zero property: n x 0 = 0.