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Properties
Term | Definition |
---|---|
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. |