Number Properties Magic Book Foldable CA 4.0, 2.0

Objective - To create a foldable for the Properties of Real Numbers

COMMUTATIVE ASSOCIATIVE IDENTITY MULTIPLICATION ADDITION INVERSE Additive Identity Multiplicative Identity Additive Inverse Multiplicative Inverse MULTIPLICATION ADDITION INVERSE Equality Equality Reflexive Property Of Equality Symmetry Property Of Equality CLOSURE TERM FACTOR

A quantity that is multiplied by another to get a product Also called opposite Also called reciprocal If a=b, then a+c=b+c If a=b, then ac=bc For any real number a, a=a If a=b, then b=a A quantity that is multiplied by another to get a product A part of an expression that is added (or subtracted) The sign goes with the term!

VARIABLE COEFFICIENT LIKE TERMS CONSTANT BASE EXPONENT / POWER Substitution / Transitive Property Of Equality DEFINITIONS & Division Division by Zero Other Properties EXPRESSION EQUATION SUBTRACTION PROPORTION AXIOM (POSTULATE) THEOREM ORDER OF OPERATIONS DISTRIBUTIVE PROPERTY

A symbol used to represent a quantity that can change The number that is multiplied by the variable in an algebraic expression Like terms have the same variables & exponent A term with no variables When a quantity is raised to a power, the quantity that is used as a factor is the base The number that indicates how many times the base is used as a factor Multiplication by Reciprocal For any real numbers a, b, and c, if a=b and b=c, then a=c Division by zero is UNDEFINED! A mathematical phrase that contains operations, numbers, and/or variables The joining of two mathematical expressions by an EQUAL SIGN A mathematical statement showing two ratios (fractions) are equal To add the opposite A mathematical statement that is accepted as TRUE without proof A mathematical statement that has been proven TRUE using axioms and definitions A rule for evaluating expressions