Algebraic Laws - h1014v1

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ALGEBRAIC LAWS Algebra The following list of axioms pertains to the real number system where a, b, and c represent any real numbers. These properties must be true for the algebraic laws to apply. Closure Properties 1. a + b is a real number 2. ab is a real number Identity Properties 3. a + 0 = a 4. a(l) = a Inverse Properties 5. For every real number, a, there exists a real number, -a, such that a + (-a) = 0 6. For every real number, a 0, there exists a real number, l/a, such that a (1/a) = 1 An equation is a statement of equality. For example, 4 + 3 = 7. An equation can also be written with one or more unknowns (or variables). The equation x + 7 = 9 is an equality only when the unknown x = 2. The number 2 is called the root or solution of this equation. The end product of algebra is solving a mathematical equation(s). The operator normally will be involved in the solution of equations that are either linear, quadratic, or simultaneous in nature. MA-02 Page 2 Rev. 0

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