(a (b Associative property of multiplication b) c = a c) Commutative property of a b = b a multiplication 1 1 = Multiplicative identity property of 1 a = a a For every 0 there exists 1/a so that 1/a = 1/a = 1. Existence of multiplicative inverses a a a (b + + Distributive property of multiplication a c) = a b a c over addition Properties of equality (Table 4 of CCSS) Here a, b and c stand for arbitrary numbers in the rational, real, or complex number systems. = 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 Substitution property of equality a b, b a in any expression containing a. Math Metacognition 78 + 43 = ?
Associative property of multiplication Commutative property of multiplication Multiplicative identity property of 1 Existence of multiplicative inverses Distributive property of multiplication over addition (a b) c = a (b c) a b = b a a 1 = 1 a = a For every a 0 there exists 1/a so that a 1/a = 1/a a = 1. a (b + c) = a b + a c Properties of equality (Table 4 of CCSS) Here a, b and c stand for arbitrary numbers in the rational, real, or complex number systems. Reflexive property of equality Symmetric property of equality Transitive property of equality Addition property of equality Subtraction property of equality Multiplication property of equality Division property of equality Substitution property of equality a = a If a = b, then b = a. If a = b and b = c, then a = c. If a = b, then a + c = b + c. If a = b, then a – c = b – c. If a = b, then a c = b c. If a = b and c 0, then a c = b c. If a = b, then b may be substituted for a in any expression containing a. Math Metacognition 78 + 43 = ?