John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Probability

Understanding Mutually Exclusive Events in Probability and Statistics

Not Mutually Exclusive P(A or B) = P(A) + P(B) – P(A and B) In statistics and probability theory, two events are said to be mutually exclusive...

John Rhodes
June 21, 2023
Algebra

Understanding the Importance of Commutative Property in Mathematics Operations

Commutative Property a+b=b+a The Commutative Property is a fundamental concept in mathematics that applies to different mathematical operations such as addition, multiplication, and composition of functions. It...

John Rhodes
June 21, 2023
Algebra

Understanding the Associative Property of Math: How it Simplifies Expressions and Solves Equations.

Associative Property (a+b)+c=a+(b+c) The associative property is a mathematical property that states that the grouping of factors or terms in an expression does not affect the value...

John Rhodes
June 21, 2023
Abstract Algebra

Understanding Binary Operations: Definition and Properties

Binary operation (on a set G) for all a,b in G, a*b in G A binary operation on a set G is a mathematical operation that combines...

John Rhodes
June 21, 2023
Abstract Algebra

The Four Vital Axioms of Group Theory: Understanding the Building Blocks of Algebra, Geometry, and Physics

Axioms of a Group (1) Closure(2)Associativity(3)Identity(4)Inverse A group is defined as a set of elements that are closed under a binary operation and satisfy four axioms. 1....

John Rhodes
June 21, 2023
Abstract Algebra

Mastering the Fundamental Identity Axiom in Mathematics and Logic for Confident Reasoning and Manipulation

Identity Axiom There exists an element e in G called an identity of G such that for all a in G we have that ae=ea=a The identity...

John Rhodes
June 21, 2023
Abstract Algebra

Understanding the Inverse Axiom in Mathematics for Well-Defined Algebraic Structures

Inverse axiom For each a in G there is an element a^-1 of G called an inverse of a such that aa^-1 = a^-1a=e In mathematics, the...

John Rhodes
June 21, 2023
Abstract Algebra

Understanding Abelian Groups: An Introduction to the Commutative Property in Mathematics

Abelian Group A group that is also commutative An Abelian group is a mathematical structure that satisfies the axioms of a group and also satisfies the commutative...