This Grade 3 hard sheet 4 challenges students to apply several multiplication properties together to solve problems and justify equal expressions. Grade 3 learners combine commutative with associative for 4 x 25 x 3, use distributive on 9 x 11, and mix zero with identity in a sum. Four multiple-choice questions and five fill items guide Grade 3 students toward confident property reasoning and explanation skills.
Style:
Properties of Multiplication
Part A: Multiple Choice
Circle the best answer for each question.
1. Grade 3: which properties justify 2 x (5 x 7) = 7 x (5 x 2)?
A) Commutative and associative
B) Distributive only
C) Identity only
D) Zero and identity
2. Grade 3: 6 x 12 = 6 x (10 + 2) uses the distributive property to equal which expression?
A) 6 x 10 + 6 x 2
B) 6 + 10 + 2
C) 6 x 10 - 2
D) 12 + 6 + 6
3. Grade 3: why does 4 x 25 x 3 = 3 x 100 also equal 300?
A) Commutative regroups factors, associative pairs 4 and 25 to make 100
B) Identity property
C) Zero property
D) Subtraction property
4. Grade 3: which equation uses zero and identity properties together?
A) (7 x 0) + (7 x 1) = 0 + 7 = 7
B) (7 + 0) x (7 + 1) = 7 x 8
C) 7 x 7 = 49
D) 7 x (0 + 1) = 7 x 1 only
Part B: Fill in the Blank
Write the correct answer on each line.
1. Grade 3: 8 x 5 x 2 = 8 x (5 x 2) = 8 x 10 = 80 using associative.
2. Grade 3: 6 x 12 = 6 x (10 + 2) = 60 + 12 = 72 by distributive.
3. Grade 3: 4 x 25 x 3 = 3 x (4 x 25) = 3 x 100 = 300.
4. Grade 3: (5 x 0) + (5 x 1) = 0 + 5 = 5 using zero and identity.
5. Grade 3: 9 x 11 = 9 x (10 + 1) = 90 + 9 = 99 using distributive.
Properties of Multiplication
★ Part A: Multiple Choice
Circle the best answer for each question.
1. Grade 3: which properties justify 2 x (5 x 7) = 7 x (5 x 2)?
A) Commutative and associative
B) Distributive only
C) Identity only
D) Zero and identity
2. Grade 3: 6 x 12 = 6 x (10 + 2) uses the distributive property to equal which expression?
A) 6 x 10 + 6 x 2
B) 6 + 10 + 2
C) 6 x 10 - 2
D) 12 + 6 + 6
3. Grade 3: why does 4 x 25 x 3 = 3 x 100 also equal 300?
A) Commutative regroups factors, associative pairs 4 and 25 to make 100
B) Identity property
C) Zero property
D) Subtraction property
4. Grade 3: which equation uses zero and identity properties together?
A) (7 x 0) + (7 x 1) = 0 + 7 = 7
B) (7 + 0) x (7 + 1) = 7 x 8
C) 7 x 7 = 49
D) 7 x (0 + 1) = 7 x 1 only
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) Grade 3: 8 x 5 x 2 = 8 x (5 x 2) = 8 x 10 = 80 using associative.
2) Grade 3: 6 x 12 = 6 x (10 + 2) = 60 + 12 = 72 by distributive.
3) Grade 3: 4 x 25 x 3 = 3 x (4 x 25) = 3 x 100 = 300.
4) Grade 3: (5 x 0) + (5 x 1) = 0 + 5 = 5 using zero and identity.
5) Grade 3: 9 x 11 = 9 x (10 + 1) = 90 + 9 = 99 using distributive.
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