# Number Types ## Real Numbers > Notice how both rational & irrational share the term “*ratio*”. > Another term for a ratio is a fraction 🤯 Irrational numbers cannot be expressed in the form of a fraction while rational numbers can Another term for natural numbers are cardinals (cardinal numbers/counting numbers) Various properties exist that describe what properties a number will retain under certain operations. - Closure Property - Associative Property - Commutative Property - Distributive Property ## Complex & Imaginary Numbers shoutout to my homie santi ### Complex Analysis ![[Pasted image 20240222032356.png|400]] ## Integers In the modern world, we use decimal, or base 10, notation to represent integers. However, numbers can be represented using any base $b$, where $b$ is a positive integer greater than **Various Representations of Integers 0 Through 15** - *Binary (Base 2):* 0, 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010 - *Octal (Base 8):* 0 - *Decimal (Base 10):* 0 - *Hexadecimal (Base 16):* 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F