Cumulative List

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MsPhelan  on October 15, 2010

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Cumulative List

 Positive NumberA number greater than 0
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Definitions

Positive Number A number greater than 0
Negative Number A number less than zero
Natural Number The set of number 1,2,3,4..... Also called counting number.
Whole Number Integer equal to or greater than zero
Graph To draw, or plot, the points named by certain numbers or ordered pairs on a number line or coordinate plane
Multiplicative Inverses Two numbers with a product of 1
Reciprocal The multiplicative inverse of a number
Opposites Two numbers that have the same absolute value but have different signs
Additive Inverse (mathematics) one of a pair of numbers whose sum is zero
Coordinate The number that corresponds to a point
Absolute Value The distance a number is from zero on the number line
Real Number Any rational or irrational number
Irrational Number A real number that cannot be expressed as a rational number
Perfect Square a number that is the square of an integer
Principal Square Root The non-negative square root of a number.
Square Root A number that when multiplied by itself equals a given number
Rational Number A number that can be written as a/b where a and b are integers, but b is not equal to 0.
Algebraic Expression An expression consisting of one or more numbers and variables along with one or more arithmetic operations.
Base When a number is raised to a power, the number that is used as a factor
Coefficient The numerical factor of a term
Coordinate System The grid formed by the intersections of two number lines, the horizontal axis and the vertical axis.
Dependent Variable The variable in a relation with a value that depends on the value of the independent variable, plotted on the y-axis
Domain The set of the first numbers of the ordered pairs in a relation.
Equation A mathematical sentence that contains an equals sign, =.
Exponent A mathematical notation indicating the number of times a quantity is multiplied by itself
Function A relation in which each element of the domain is paired with exactly one element of the range
Independent Variable The variable in a function with a value that is subject to choice, plotted on the x-axis
Like Terms Terms that contain the same variables, with corresponding variables having the same exponent
Mapping Illustrates how each element of the domain is paired with an element in the range
Ordered Pair A set of numbers or coordinates used to locate any point on a coordinate plane, written in the form (x, y).
Order of Operations 1. Evaluate expressions inside grouping symbols
2. Evaluate all powers
3. Do all multiplication and/or division from left to right
4. Do all addition and/or subtraction from left to right
Origin The point where the two axis intersect at their zero points
Range The set of second numbers of the ordered pairs in a relation
Reciprocal The multiplicative inverse of a number
Relation A set of ordered pairs
Replacement Set A set of numbers from which replacements for a variable may be chosen.
Simplest FormAn expression is in simplest form when it is replaced by an equivalent expression having no like terms or parentheses.
When there are no factors, other than 1; When there are no factors, other than 1, left between terms of an expression. when an expression is replaced by an equivalent expression having no like terms or parentheses.
Solution A replacement value for the variable in an open sentence.
Term A number, a variable, or a product or quotient of numbers and variables
Variables Symbols used to represent unspecified numbers or values
Vertical Line Test If any vertical line passes through no more than one point of the graph of a relation, then the relation is a function
Power A mathematical notation indicating the number of times a quantity is multiplied by itself
Product A quantity obtained by multiplication
Factor A number that is multiplied by another number to find a product
Evaluate To find the value of an expression
Equivalent Expressions Expressions that denote the same value for all values of the variable(s), expressions that have the same value
Additive identity a+0=a, the sum of any number & zero is a equal to the number.
Multiplicative Identity Any number times one equals that number (Nx1=N)
Multiplicative Inverse (mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2
Reflexive Property Any quantity is equal to itself
Symmetric Property If one quantity equals a second quantity, then the second quantity equals the first
Transitive Property If one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third quantity
Substitution Property A quantity may be substituted for its equal in any expression
Additive Inverse (mathematics) one of a pair of numbers whose sum is zero
Multiplicative Property of Zero Product of any number and zero is zero (a x 0=0)
Commutative Property In multiplication or addition, the order of two numbers may be switched around and the answer is the same. Ex: a+b = b+a.
Associative Property Changing the grouping of numbers will NOT change the value. For example: (7 + 4) + 8 = 7 + (4 + 8) also works with multiplication
Distributive Property A property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac

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