Infinite
Increasing or decreasing without end
Integer
A number belonging to the set made up of the whole numbers and their opposites
Natural number
A number belonging to the set made up of the counting numbers: 1, 2, 3, and so on
Negative numbers
A number that is less than zero
Number line
A line that graphically represents all numbers
Point
A dot that marks a location on a graph
Positive number
A number that is greater than zero
Whole number
A number belonging to the set made up of zero and the natural numbers
Absolute value
The distance from zero on the number line
Inequality
Statement showing a relationship between numbers that are not necessarily equal; uses the symbols <, >, etc.
Opposite number
Two numbers that are the same distance from zero on the number line but in opposite directions
Addend
A number to be added
Sum
The result of adding two or more numbers together
Difference
The result of subtracting two numbers
Zero pair
A pair of numbers whose sum is zero
Factor
A number to be multiplied
Product
The result of multiplying two or more numbers
Dividend
The number being divided
Divisor
The number of parts that the dividend is being divided into
Inverse operations
Opposite operations that undo one another
Quotient
The result of dividing two numbers
Undefined
The quotient of any number and zero
Element
An object that belongs to the set; also called a member
Irrational number
A number that, when in decimal form, does not terminate or repeat
Rational number
A number that can be written as a ratio in fraction form
Real number
A number that can be written as an infinite decimal
Set
A collection or group of objects
Subset
A set whose elements belong to a given set
Venn diagram
A diagram that shows the relationships between sets
Additive identity
The number 0; when added to any number, the value of a number does not change
Associative property
A property of the real numbers that states that how numbers are grouped in a sum or product does not change the value
Commutative property
A property of the real numbers that states that the order in which numbers are added or multiplied does not change the value
Multiplicative property
The number 1; when multiplied by any number, the value of the number does not change
Order of operations
A system for simplifying expressions that ensures that there is only one right answer