Chapter 4 Exponents and Roots

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Exponential Form

A number is in exponential form when it is written as a base and an exponent

Exponent

The number that indicates how many times the base is used as a factor

Base

When a number raised to a power, the number is used as a factor is the base

Power

A number produced by raising a base to an exponent

Monomial

A number or a product of numbers or variables with exponents that are whole numbers

Scientific Notation

A method of writing very large or very small numbers by using powers of 10

Square Root

One of the two equal factors of a number

Principal Square Root

The nonnegative square root of a number

Perfect Square

A square of a whole number

Real Numbers

A rational or irrational number

Irrational Numbers

A real number that cannot be expressed as a ratio of two integers

Density Property

The property that states that between any two real numbers, there is always another real number

Legs

In a right triangle, the sides that include the right angle; in an isosceles triangle, the pair of congruent sides

Hypotenuse

In a right triangle, the side opposite the right angle

Example: