Section 1-4 Notes: Identity and Equality Properties (pgs. 21-22 of textbook)
 Used in comparing data
 There are two Identity Properties: Additive and Multiplicative
-Additive Identity: states that adding 0 to any number or expression does not
change its value
-Multiplicative Identity: states that multiplying a number or expression by 1
does not change its value
 The product of any number and 0 is equal to 0; this is called the
multiplicative property of zero
 Two numbers whose product is 1 are called multiplicative inverses or
reciprocals; zero has no reciprocal because any number times 0 is 0
 Properties of equality preserve equality between the two sides of an
equation; these properties can be used to solve equations
-Reflexive: any quantity is equal to itself
-Symmetric: if one quantity equals a second quantity, then the second
quantity equals the first
-Transitive: if one quantity equals a second quantity and the second quantity
equals a third quantity, then the first quantity equals the third quantity
-Substitution: a quantity may be substituted for its equal in any expression
Section 1-5 Notes: The Distributive Property (pgs. 26-28 of textbook)
 Distributive Property: a term outside the parentheses is distributed by
multiplication to each term inside the parentheses
-apply the Distributive Property when simplifying expressions and solving
equations
-combine like terms
Section 1-6 Notes: Commutative and Associative Properties (pgs. 32-33 of
textbook)
 Commutative Property: the order in which you add or multiply numbers
does not change their sum or product
 Associative Property: the way you group three or four numbers when adding
or multiplying does not change their sum or product
 These properties cannot be applied to subtraction or division