Algebra II Number Classifications

Complex Numbers

All numbers

Real Numbers

Points on the number line

Imaginary Numbers

No points on the number line, square root of a negative number

Negative Numbers

Numbers <0

Zero

Neither positive nor negative

Positive Numbers

Numbers >0

Rational Numbers

Expressed exactly as a ratio of two integers

Irrational Numbers

Real numbers that cannot be expressed exactly as a ratio of two integers

Integers

Whole numbers and their opposites

Non-Integers

Fractions: Numbers between integers

Whole Numbers

Positive integers plus zero

Natural Numbers

Postive integers (counting numbers: 1, 2, 3…)

Digits

Numbers from which numerals are made

(1, 2, 3, 4, 5, 6, 7, 8, 9)

Radicals

Irrational numbers expressed as roots of integers

Transcendental

Irrational numbers that cannot be expressed as roots of integers (ex. pi)

Odd Numbers

Integers not divisible by two

Even numbers

Integers divisible by two

-4

Complex, real, negative, rational, integer, even

27

Complex, real, positive, rational, integer, whole number, natural number, odd

1/7

Complex, real, positive, rational, non-integer

5 root 7

Complex, real, positive, irrational, radical

Pi

Complex, real, positive, irrational, transcendental

Root -25

Complex, imaginary