25 terms

Terminating Decimal

A decimal that ends. Terminate means "End". A terminating decimal doesn't keep going.

Repeating Decimal

A decimal in which a digit or a sequence of digits keeps repeating. The repeating decimal can be represented by putting a bar over the digit or the sequence of digits that repeat.

Irrational Number

Irrational numbers are real numbers that cannot be expressed as fractions, terminating decimals, or repeating decimals. Rational Numbers are indicated by the symbol "I"

Rational Number

A Rational Number is a real number written as a ratio of integers with a non-zero denominator such as a/b where b can not be 0. Rational numbers are indicated by the symbol Q; All the repeating or terminating decimal numbers are rational numbers.

Integer

Integers are the set of whole numbers and their opposites.

{. . . -3, -2, -1, 0, 1, 2, 3 . . . } is the set of integers. Integers are noted by the symbol Z.

{. . . -3, -2, -1, 0, 1, 2, 3 . . . } is the set of integers. Integers are noted by the symbol Z.

Square Root

The square root of a number is a nonnegative number which when multiplied by itself equals the given number..

Cube Root

The cube root of a number is a number multiplied by itself three times as a factor.

Radical

The symbol √, which is used to represent the square root of a number, is called as Radical. The number under the root symbol is called radicand.

Scientific Notation

Scientific notation is a method of writing numbers as the product of two factors where the first factor is a number greater than or equal to 1 but less than 10 and the second factor is a power of 10.

Monomial

A Monomial is an algebraic expression containing only one term. It can be an integer, a variable or a product of an integer and variable.

Equation

An Equation is a mathematical sentence that uses the equal sign (=) to show that two expressions are equal.

Empty or Null Set

The solution set for an equation that has no solution is also called an empty set.It is also called a null set. It can be symbolized by ø

Whole Numbers

Whole numbers is the set of all counting numbers plus zero.

The numbers in the set {0, 1, 2, 3, 4, 5, 6, 7, . . . . } are called whole numbers. Whole numbers are not fractions, not decimals. Whole numbers are non-negative integers.

The numbers in the set {0, 1, 2, 3, 4, 5, 6, 7, . . . . } are called whole numbers. Whole numbers are not fractions, not decimals. Whole numbers are non-negative integers.

Natural Numbers

All the counting numbers 1, 2, 3,... are called Natural Numbers. The set of natural numbers is represented by using the symbol N.

Expression

An Expression is a mathematical phrase that combines numbers and/or variables using mathematical operations.

An expression is a representation of a value and it does not contain an equal sign.

An expression is a representation of a value and it does not contain an equal sign.

Exponent

An Exponent is a mathematical notation that implies the number of times a number is to be multiplied by itself. The exponents can be positive, negative, or zero.

Negative Exponent

A Negative Exponent of a number equals to the reciprocal of positive exponent of the number. Negative exponents are used in scientific notation to designate a number smaller than one.

Inequality

A mathematical sentence that uses symbols such as <, ≤, >, or ≥ to compare two quantities.

Product of Powers Property

This property states that to multiply powers having the same base, add the exponents.

Quotient of Powers Property

This property states that to divide powers having the same base, subtract the exponents.

Power of Power Property

This property states that the power of a power can be found by multiplying the exponents.

Zero Power Property

This property states that any number raised to the zero power will always be one provided the base is not zero.

Graphing Inequalities

Know when to use an open or closed circle

Constant Term

The Constant Term in an expression or equation has a fixed value and does not contain variables. For ex., in the expression 2x + 6, 6 is the constant.

Like Terms

Like terms are monomials that contain the same variables raised to the same powers. They can be combined to form a single term. In the expression, 3x + 7 - 5x + 9, 3x and -5x are like terms.