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Math
| Term | Definition | Example |
|---|---|---|
| The order of the addends does not change the sum. | Commutative property of addition | 1 + 2 = 2 + 1 |
| The order of the factors does not change the product. | Commutative property multiplication | 1 x 2 = 2 x 1 |
| Any # plus 0 equals itself. | Identity property of addition | 1 + 0 = 0 |
| Any # times 1 equals itself | Identity property of multiplication | 123,456,789 x 1 = 123,456,789 |
| The group of addends doesn't change the sum. | Associative property of addition | 1 + (2 + 3) = (1 +2) + 3 |
| The grouping of factors doesn't change the product | Associative property of multiplication | 1(2 x 3) = (1 x 2) 3 |
| The sum of 2 #'s times a 3rd # is equal to the sum of each addend. | Distributive property | 1 (8 +5) = 1 (13) |
| Any number multiplied by 0 = 0. | 0 prop. of multiplication | 999,999,999,999 x 0=0 |
| A # plus its opposite = 0. | Inverse property of addition | 5216 + -5216=0 |
| A # multiplied by its reciprocal = 1. | inverse prop. of multiplication | 33 x 1/33 = 1 |
| a+b=b+a | Commutative property of addition | 3 + 4 = 4 + 3 |
| axb=bxa | Commutative property of muntiplication | 3 x 4 = 4 x 3 |
| a + 0 = a | Identity prop. of addition | 87 + 0 = 87 |
| a x 1 = a | Identity of multiplication | 498 x 1 = 498 |
| (a+b) + c = a + (b + c) | Associative property of addition | (45 + 24) + 4 = 45 + (24 + 4) |
| (a x b) x c = a x (b x c) | Associative property of multiplication | (51 x 66) 12 = 51 (66 x 12 |
| a x 0 = 0 | Zero of multiplication | 987,654,567 x 0 = 0 |
| a + -a = 0 | Inverse property of addition | 6 + -6 = 0 |
| a x 1/a = 1 | Inverse property of multiplication | 8 x ⅛ = 1 |