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Properties of Real #
Properties learned in Algebra 1
| Question | Answer |
|---|---|
| Addition Property of Equality | For every real number a, b, and c, if a = b, then a + c = b + c. |
| Subtraction Property of Equality | For every real number a, b, and c, if a = b, then a - c = b - c. |
| Multiplication Property of Equality | For every real number a, b, and c, if a = b, then a * c = b * c. |
| Division Property of Equality | For every real number a, b, and c, where c is nonzero, if a = b, then a/c = b/c. |
| Identity Property of Addition | For every real number a, a + 0 = a. |
| Inverse Property of Addition | For every real number a, there is an additive inverse -a such that a + (-a) = 0. |
| Identity Property of Multiplication | For every real number a, a * 1 = a. |
| Inverse Property of Multiplication | For every nonzero real number a, there is a multiplicative inverse 1/a such that a(1/a) = 1. |
| Distributive Property | For every real number a, b, and c, a(b + c) = ab + ac a(b - c) = ab - ac (b + c)a = ba + ca (b - c)a = ba - ca |
| Multiplication Property of Zero | For every real number n, n * 0 = 0. |
| Multiplication Property of -1 | For every real number n, -1 * n = -n |
| Commutative Property of Addition | For every real number a and b, a + b = b + a |
| Commutative Property of Multiplication | For every real number a and b, a * b = b * a |
| Associative Property of Addition | For every real number a, b, and c, (a + b) + c = a + (b + c) |
| Associative Property of Multiplication | For every real number a, b, and c, (a * b) * c = a * (b * c) |
Created by:
BNSAlgebra
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