Number Classification Flashcards

Complex Numbers: Formed by a combination of real and imaginary numbers, expressed as a + bi, where a and b are real numbers and i represents the imaginary unit.
Real Numbers: Represented by R, these include all numbers that have points on the number line, such as integers, rational numbers, and some irrational numbers (e.g., 3, -17.4, √5, π, 4/3).
Imaginary Numbers: Denoted by I, these are the square roots of negative numbers and do not correspond to any points on the number line (e.g., √-3, 5√-2, -√-9).

Negative Numbers: Numbers less than zero (e.g., -7.5, -38, -√3).
Zero: The integer that is neither positive nor negative, represented simply as 0.
Positive Numbers: Numbers greater than zero (e.g., 0.001, 37, √15).

Rational Numbers: Denoted by Q, these can be expressed as a ratio of two integers (e.g., 4/5, -2/3, 7.31, -5, √9, 0.3333...).
Irrational Numbers: Cannot be expressed as a fraction of two whole numbers, represented by examples like √5, -∛11, and π.

Radicals: Numbers that involve roots, including square roots and cube roots of integers (e.g., √5, -∛11).
Transcendental Numbers: Numbers that cannot be expressed as a root of any integers, with π being a primary example.
Integers: Denoted by Z, these include whole numbers and their negatives (e.g., 2, -17, 2001, 0).
Nonintegers: Include fractions and are numbers that exist between integers (e.g., 3/4, 1 and 2/7, -4.63).
Natural/Counting Numbers: Represented by N, these are positive integers starting from 1 (e.g., 2, 2001).

Digits: The individual symbols (0-9) used to form all numbers.
Even Numbers: Integers that are divisible by 2, including zero (e.g., 2046, -38, 562, 0).
Odd Numbers: Integers that are not divisible by 2 (e.g., -49, 15, 2001, 1).
Whole Numbers: The set of integers combined with zero, including all positive integers and zero.