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Details Title: Properties (Mrs. Wood) Description: Properties of Real Numbers Total Flash Cards: 27 Created: 11/24/2004 07:43:13	To study from this set of flash cards, or to create your own your own study flash cards, register HERE. If you are already a registered user, CLICK HERE.
Cards Term Additiive Identity Definition the number 0 Term Multiplicative Identity Definition the number 1 Term Commutative Property of Addition Definition a + b = b + a Term Associative Property of Addition Definition a + (b + c) = (a + b) + c Term Property of Opposites Definition a + (-a) = 0 Term Property of Reciprocals Definition a(1/a) = 1 Term Reflexive Property of Equality Definition a = a Term Transitive Property of Equality Definition if a = b and b = c, then a = c Term Symmetric Property of Equality Definition if a = b, then b = a Term Closure Property Definition for all real numbers, a + b and ab is a unique real number Term Addition Property of Equality Definition if a,b, and c are any real numbers, and a = b, then a + c = b + c Term Distributive Property Definition a(b + c) = ab + ac Term Distributive Property Definition a(b + c) = ab + ac Term Division Property of Equality Definition if a = b, then a/c = b/c Term Identity Property of Addition Definition a + 0 = a Term Identity Property of Multiplication Definition a • 1 = a Term Multiplication Property of Equality Definition if a,b, and c are any real numbers, and a = b, then ac = bc Term Multiplicative Property of –1 Definition (-1)a = -a Term Multiplicative Property of Zero Definition a(0) = 0 Term Property of the Opposites of a Sum Definition -(a + b) = -a + -b Term Property of Opposites in Products Definition for all real numbers a(-b) = -ab, (-a)b = -ab and (-a)(-b) = ab Term Property of the Reciprocal of a Product Definition 1/ab = 1/a • 1/b Term Property of the Reciprocal of the Opposite of a Number Definition 1/-a = -(1/a) Term Substitution Principle Definition an expression may be replaced by another expression with the same value Term Subtraction Property of Equality Definition if a,b, and c are any real numbers, and a = b, then a - c = b - c Term Commutative Property of Multiplication Definition ab = ba Term Associative Property of Multiplication Definition a(bc) = (ab)c