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Math Rules Encyclopedia

Instant Access to Every Formula and Theorem with Search & Selection

Area axioms of figures
Area of parallelogram
Area of triangle
Area of trapezium
Area of rhombus
Binomial theorem (expansion)
Bernoulli trials
Central angle. Arc of a circle.
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Math Rules

Basic Math Rules

The 5 Basic Rules of Algebra
Golden Rules of Mathematics
General Rules in Math
The Standard Rule in Math
Rule 5 in Math
Rule 3 in Math
Basic Principles of Math
Basic Math for Kids
The Golden Rule of Algebra
The First Rule of Math

99 Intriguing Math Facts: Discover the Wonders of Mathematics.

Zero is the only number that cannot be represented by a Roman numeral.
The number 111,111,111 multiplied by itself gives a result where each digit is repeated twice: 12,345,678,987,654,321.
A palindrome number reads the same backwards and forwards, like 121 or 12321.
The number Pi (π) is an irrational number, which means it can't be expressed as a simple fraction. Its decimal representation goes on forever without repeating. It's approximately equal to 3.14159.

Intriguing Math Insights

Mastering Mental Math: Tricks and Techniques for Quick Calculations

Math tricks can be a fun way to speed up calculations and impress your friends. Here are some of the best math tricks:

Multiplying by 11:: When multiplying a two-digit number by 11, separate the two digits and add them together. Then place the sum between the original two digits.
Example: 35 × 11 = 3(3+5)5 = 385
Squaring numbers ending in 5:: Take the first digit, multiply it by the next higher digit, and then append 25 to the result.
Example: 75² = (7 × 8)25 = 5625

Mental Math Mastery

Exploring the Golden Ratio: Uncovering the Intriguing Connections Between Mathematics, Art, and Nature

The Golden Ratio, represented by the Greek letter φ (phi), is approximately equal to 1.618034. It can be precisely defined as (1 + √5) ÷ 2. This fascinating mathematical concept has captured the imagination of mathematicians, artists, and architects for centuries.

The Golden Ratio emerges from the Fibonacci sequence, where each number is the sum of the two preceding ones (0, 1, 1, 2, 3, 5, 8, 13...). As this sequence progresses, the ratio between consecutive numbers approaches the Golden Ratio.

In geometry, the Golden Ratio occurs when a line is divided so that the ratio of the whole line to its longer segment equals the ratio of the longer segment to the shorter segment.

Golden Ratio