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# Properties of Real #

### Properties learned in Algebra 1

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