3.OA.B.5
Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) Examples: If 6 x 4 = 24 is known, then 4 x 6 = 24 is also known (commutative property of multiplication). 3 x 5 x 2 can be solved by (3 x 5) x 2 or 3 x (5 x 2) (associative property of multiplication). One way to find 8 x 7 is by using 8 x (5 + 2) = (8 x 5) + (8 x 2). By knowing that 8 x 5 = 40 and 8 x 2 = 16, then 8 x 7 = 40 + 16 = 56 (distributive property of multiplication over addition).
Example Problems
Is the expression equivalent to ?
Is the expression equivalent to ?
Is the expression equivalent to ?
Khan Academy ResourcesUse associative property to multiply 2-digit numbers by 1-digitDistributive propertyUnderstand the commutative property of multiplicationVisualize distributive propertyUnderstand multiplication using groups of objectsUnderstand 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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