3.OA.B.5

Apply properties of operations to multiply. For example: When multiplying numbers order does not matter. If 6 x 4 = 24 is known, then 4 x 6 = 24 is also known (Commutative property of multiplication); The product 3 x 5 x 2 can be found by 3 x 5 = 15 then 15 x 2 = 30, or by 5 x 2 = 10 then 3 x 10 = 30 (Associative property of multiplication); When multiplying two numbers either number can be decomposed and multiplied; one can find 8 x 7 by knowing that 7 = 5 + 2 and that 8 x 5 = 40 and 8 x 2 = 16, resulting in 8 x (5 + 2) = (8 x 5) + (8 x 2) = 40 + 16 = 56 (Distributive property); When a number is multiplied by 1 the result is the same number (Identity property of 1 for multiplication).

Khan Academy Resources

Use 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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