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Properties

TermDefinition
Identity Property of Addition When you add zero to a number, you get that same number. Its identity doesn’t change.
Identity Property of Multiplication When you multiply a number by 1, you get that same number. Its identity doesn’t change
Commutative Property of Addition The order of addends doesn’t matter, you get the same sum. "Order Property"
Commutative Property of Multiplication The order of the factors doesn’t matter, you get the same product. "Order Property"
Associative Property of Addition When adding multiple addends, the grouping doesn’t affect the sum, but you CAN"T change the order.
Associative Property of Multiplication When multiplying factors, the grouping doesn’t affect the product, but you CAN"T change the order.
Additive Inverse Property Adding opposites gives you “0 (zero)”. Opposites are positive and negative numbers -4 = 4 = 0
Multiplicative Inverse Property Multiplying reciprocals gives you “1”. Opposites are whole numbers and their reciprocals. 6 x ⅙ = 1
Multiplicative Property of Zero Any number multiplied by zero equals zero
Distributive Property We break one factor into two smaller addends, multiply them by the other factor, and then add them up.
Created by: Mrs. J Mason