Agile Mind Topic 2 Vocab

Front

A _______ ___________ is any number that can be expressed as a fraction of two integers, with a non-zero denominator. Examples include 2/3 and -1/2. 5 is a ________ _________ (5/1) and 2.25 is a ________ _________ (9/4).

Back

rational number

Front

An ________ _________ is a number that cannot be written as a quotient of two integers. √2 and 𝜋 are ________ _________.

Back

irrational numbers

Front

An ________ is any real number in the set {..., -3, -2, -1, 0, 1, 2, 3, ...}. The set of _______ combines whole numbers {0, 1, 2, 3, ...} with their opposites.

Back

integer

Front

The set of ______ ______ includes counting numbers and zero. Examples: 0,1,2,3,...

Back

whole numbers

Front

A ______ ______ is any real number in the set {1, 2, 3, 4, 5, ...}. Also known as counting numbers.

Back

natural number

Front

Symbol for taking a root: √. Example: √36 = square root of 36.

Back

radical sign

Front

A _____ _____ is the product of an integer and itself. Non-negative numbers can be written as 𝑚² where m is an integer. Examples: 3x3=9, 7x7=49, 8x8=64, 10x10=100.

Back

perfect square

Front

A ____ ____ is the product of an integer multiplied by itself and again. For example, 8 is a ____ ____ and 27 is a ____ ____.

Back

perfect cube

Front

The ____ ____ of a number is a value that, raised to the third power, produces the original number. Represented as 3_{√x}.

Back

cube root

Front

The principal square root of a number is the positive root. E.g., the principal root of 9 is 3, written as √9 = 3.

Back

square root