AmericanCrocodile: /* Arithmetic */

2026-03-16T01:42:31Z

Arithmetic

← Older revision		Revision as of 01:42, 16 March 2026
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	==== Modulo ====		==== Modulo ====
	Modulo is similar to division. However, it gives you the remainder.		Modulo is similar to division. However, it gives you the remainder.

			== Properties ==

			=== Commutative Property ===
			The commutative property dictates that for certain operators, the position of the terms does not affect the outcome.

	== Ordering ==		== Ordering ==

AmericanCrocodile: /* Addition */ subtraction, multiplication

2026-03-16T01:39:45Z

Addition: subtraction, multiplication

← Older revision		Revision as of 01:39, 16 March 2026
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	=== Addition ===		=== Addition ===
			Addition is an operation where the sum of two terms is taken. Addition is represented by the symbol "+"

	=== Subtraction ===		=== Subtraction ===
			Subtraction is an operation where the second term is taken from the first term. Subtraction is represented by the symbol "-"

	=== Multiplication ===		=== Multiplication ===
			Multiplication is an operation where the first term is added to 0 as many times as the value of the second term denotes. Multiplication can be represented by the symbols "X," or "," or "⋅," or simply by omitting an operator such as XY=(XY)

	=== Division ===		=== Division ===

Civvy: Create section for sets and add outline

2025-12-19T01:27:46Z

Create section for sets and add outline

New page

This document provides a basic introduction to [[Mathematics]]. It assumes that you have no prior knowledge of mathematics. By the end of this document, you will know enough mathematics to navigate this wiki.

== Sets ==
A '''set''' is a group with objects. Sets can contain any number of objects.

To represent sets, we draw a [[Shape]]. While we ''can'' use any shape, we will use this shape below for now.

[[File:Empty Set Shape.png|alt=An empty set, or a set with no objects|center|thumb|600x600px|A set with no objects. The set has an outline to show that the set itself exists.]]

The image above also depicts what we call an '''empty set'''. An empty set is a set with no objects.

Recall, however, that sets are "groups with objects". To represent a set with an object inside, we draw an object inside the set.

[[File:Set with One Object.png|alt=A set with a red circle inside|center|thumb|600x600px|A set with an object inside]]

In fact, sets can contain any number of objects. The image below shows a set with multiple objects in it.

[[File:Set with Multiple Objects.png|alt=A set with multiple objects inside|center|thumb|600x600px|A set with multiple objects inside]]

The image above shows a set with multiple objects, but each individual object is the same. Sets do not need to contain objects that are all the same as one another. Sets may contain objects that are different from one another.

[set with objects that are different from one another]

Multiple sets can be defined at the same time. Each set may have the same or different amounts of objects inside them.

[multiple sets with objects]

Sets can even have sets inside them too! Note that the set inside is called a ''subset'' while the set containing the other set is called a ''superset''.

[set inside another set]

=== Set Symbols ===
Instead of drawing a set with objects, we can use symbols to represent the exact same thing.

==== Set ====
The symbol for a set is surrounded by an opening bracket (<code>{</code>) and a closing bracket (<code>}</code>). Each object in the set is separated by a comma (<code>,</code>).

==== Empty Set ====
Represented with ∅ or { }.

==== Equals ====
Equals means two sets have the same number of objects

== Numbers ==
A '''number''' is a symbol describing the quantity of a set. In other words, a number describes the number of objects in a set.

=== Arabic Numerals ===

=== Place Values ===

=== Number Line ===
An alternative way of viewing total number of objects in a set

== Arithmetic ==
'''Arithmetic''' lets you perform operations on numbers.

=== Addition ===

=== Subtraction ===

=== Multiplication ===

=== Division ===

==== Modulo ====
Modulo is similar to division. However, it gives you the remainder.

== Ordering ==
This section goes over ordered sets

=== Ordered Sets ===

=== Ordinal Numbers ===
{| class="wikitable mw-collapsible"
|+Ordinal Numbers 0-20
!Number
!English Word Equivalent
|-
|0
|Zeroth
|-
|1
|First
|-
|2
|Second
|-
|3
|Third
|-
|4
|Fourth
|-
|5
|Fifth
|-
|6
|Sixth
|-
|7
|Seventh
|-
|8
|Eigth
|-
|9
|Ninth
|-
|10
|Tenth
|-
|11
|Eleventh
|-
|12
|Twelfth
|-
|13
|Thirteenth
|-
|14
|Fourteenth
|-
|15
|Fifteenth
|-
|16
|Sixteenth
|-
|17
|Seventeenth
|-
|18
|Eighteenth
|-
|19
|Nineteenth
|-
|20
|Twentieth
|}
If the number is greater than 20, look at the last digit. That will determine its suffix.
{| class="wikitable mw-collapsible"
|+Ordinal Numbers Greater than 20
!Digit
!Suffix
|-
|0
| -th
|-
|1
| -st
|-
|2
| -nd
|-
|3
| -rd
|-
|4
| -th
|-
|5
| -th
|-
|6
| -th
|-
|7
| -th
|-
|8
| -th
|-
|9
| -th
|}

== Axioms ==
An '''axiom''' is a statement that is a universally recognized truth. That is, there is no need to prove that it is true. Rather, it ''is'' true, and there is no need to prove it.

Basic Mathematics - Revision history

AmericanCrocodile: /* Arithmetic */

AmericanCrocodile: /* Addition */ subtraction, multiplication

Civvy: Create section for sets and add outline