that a × 1/a = 1/a × = a 1. × Distributive a (b + property of multiplication c) = × over addition a b + × a c The Properties of Equality Here and for arbitrary numbers in the rational, real, or complex number systems. a, b c = Reflexive property of equality a a If then Symmetric property of equality a = b, b = a. If and then Transitive property of equality a = b b = c, a = c. If then Addition property of equality a = b, a + c = b + c. If then = Subtraction property of equality a = b, a c b c. – – If then × = × Multiplication property of equality a = b, a c b c. If and 0, then ÷ = ÷ Division property of equality a = b c a c b c. ≠ If = then may be substituted for in any Substitution property of equality a b, b a expression containing a.
that a × 1/a = 1/a × a = 1. Distributive property of multiplication over addition a × (b + c) = a × b + a × c The Properties of Equality Here a, b and c for arbitrary numbers in the rational, real, or complex number systems. Reflexive property of equality a = a Symmetric property of equality If a = b, then b = a. Transitive property of equality If a = b and b = c, then a = c. Addition property of equality If a = b, then a + c = b + c. Subtraction property of equality If a = b, then a – c = b – c. Multiplication property of equality If a = b, then a × c = b × c. Division property of equality If a = b and c ≠ 0, then a ÷ c = b ÷ c. Substitution property of equality If a = b, then b may be substituted for a in any expression containing a.
ccgps_math_9-12_cooralgebra_unit2se.docx