Chapter 4 - Roots and Powers

These flashcards cover key vocabulary and concepts related to roots and powers from Chapter 4.

Rational Number

A number that can be expressed as a fraction where both the numerator and denominator are integers and the denominator is non-zero.

Irrational Number

A number that cannot be expressed as a fraction of two integers; its decimal representation is non-terminating and non-repeating.

Radical

An expression that uses a root, such as a square root, cube root, etc.

Exponent Rules

The rules governing the operations involving powers or exponents, such as multiplying powers with the same base.

Square Root

A value that, when multiplied by itself, gives the original number.

Cube Root

A value that, when raised to the power of three, yields the original number.

Perfect Square

A number that can be expressed as the square of an integer.

Perfect Cube

A number that can be expressed as the cube of an integer.

Estimation of Roots

The process of finding an approximate value for the root of a number by identifying nearby perfect squares or cubes.

Exponential Notation

A way to denote repeated multiplication of the same number, represented as a base raised to an exponent.

Integer Power

A number raised to an integer exponent.

Negative Exponent

An exponent that indicates the reciprocal of the base raised to the absolute value of the exponent.

Decimal Representation

The representation of a number in base 10, which may be finite or infinite.

Radicand

The number or expression inside a radical sign.