3.OA.B.5
Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
Example Problems
Apply the distributive property to factor out the greatest common factor.
Apply the distributive property to factor out the greatest common factor.
Apply the distributive property to factor out the greatest common factor.
Khan Academy ResourcesUse associative property to multiply 2-digit numbers by 1-digitDistributive propertyUnderstand the commutative property of multiplicationVisualize distributive propertyUnderstand associative property of multiplicationAssociative property of multiplicationCommutative property of multiplicationRepresent the commutative property of multiplicationProperties of multiplicationAssociative property of multiplicationProperties and patterns for multiplicationCommutative property of multiplicationUsing associative property to simplify multiplicationDistributive property when multiplying

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