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Properties of Real Numbers
* means multiply or multiplication
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| A | B |
| -4 + 9 = 9 + (-4) | commutative of + |
| 6x = x(6) | commutative of * |
| (2 + 4) + 9 = 2 + (4 + 9) | associative of + |
| (5 * 6)10 = 5(6 * 10) | associative of * |
| -219 + 0 = - 219 | additive identity |
| 4/5 * 1 = 4/5 | multiplicative identity |
| -2(x - 5) = -2x + 10 | distributive |
| If 2x = 3y, then 2x+5=3y+5. | addition prop of = |
| If 10a=15b, then 10a-6=15b-6. | subtraction prop of = |
| If s = t, then -6s = -6t. | multiplication prop of = |
| If 4x = -24, then x = -6. | division prop of = |
| 6*2*3*5=6*3*2*5 | commutative of * |
| 6*3*2*5 = (6*3)(2*5) | associative of * |
| 6(4+5) = 6*4 + 6*5 | distributive property |
| 2(n + 3n) = 2n + 6n | distributive property |
| (9 - p)3 = 27 - 3p | distributive property |
| -54 + 0 = -54 | additive identity |
| -39 * 1 = - 39 | multiplicative identity |
| If x = 5, then 2x = 5*2 | multiplication prop of = |
| If 5n = -35, then n = -7 | division prop of = |
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Faculty |
Althoff Catholic High School |
| Belleville, IL |
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