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EQAO Grade 3 Math
Number
3. Properties and Relationships
3.3 Multiplication Properties
Multiplication Properties: Commutative and Associative Rules
Discover how the commutative, associative, and distributive properties of multiplication make solving problems faster and easier.
What You'll Learn
Apply the commutative property \( a \times b = b \times a \) to multiply numbers in any order
Use the associative property \( (a \times b) \times c = a \times (b \times c) \) to regroup factors freely
Apply the distributive property \( a \times (b + c) = a \times b + a \times c \) to break apart hard multiplications
Recognize the identity property \( a \times 1 = a \) and the zero property \( a \times 0 = 0 \)
Compare grouping strategies to see that regrouping or reordering factors never changes the product
Use these properties to simplify multi-step multiplication problems and check answers quickly
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PROVINCE-TESTS Curriculum Aligned