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**Subtopics**## Algebra

## Calculus

## Geometry

## Number Systems

## Number Theory

## Popular & Elementary Math

## Probability & Statistics

## Teaching Math

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### How to Add Fractions with Common and Unlike Denominators

Need help adding fractions? You're not alone. This article explains how to add fractions together when the denominators are the same and when they're different.

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### The Number 9 | The Secret Knowledge of The Ancients Number Nine Code 911

The number 9 is the last number in a base 10 system which is the last and limit of all that is. Nine is a number which has many interesting qualities that other numbers do not have and has been used to hold a hidden...

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### How to Solve y" = f(y), Second-Order Non-Linear Differential Equations

Differential equations of the form y" = f(y), or d2y/dx2 = f(y) where y is function of x and f is a non-linear function, are examples of non-linear second-order ordinary differential equations. As this equation does...

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### Fractal Geometry :: Fractals in Nature

A fractal is defined as a "rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," according to their "discoverer" Benoit Mendelbrot...

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### Forgot Your Master Lock Combination? Learn to Crack Combination Locks

A Master Lock brand dial combination lock is one of the most popular padlocks for securing sheds, gym lockers, tool boxes, and anywhere else people store valuables. The lock's dial has 40 numbers from 0 to 39, and a...

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### How to Tell If a Number Is a Pentagonal Number

How to tell if N is a pentagonal number. Formula for pentagonal numbers and inverse formula for determining if a given number is pentagonal. If yes, the formula gives the index.

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### How to translate a shape on a coordinate grid using a vector. Math help.

If you are asked to translate a shape then you need to move the shape to a new position on the coordinate grid. Usually, the directions of the translation are given in terms of a vector. The vector contains 2 numbers...

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### Geometry and Math Facts About Regular Pentagons

The Pentagon building in Arlington, Virginia is named for its shape. The regular pentagon is a fascinating shape with many interesting mathematical properties. It is one of the few regular odd-sided polygons that can...

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### Should you buy 10 tickets for one lottery drawing, or play the lottery 10 times?

Is it better to buy X tickets for a single lottery drawing, or buy 1 ticket for X different lottery drawings? A lotto math analysis...

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### Top 4 Mistakes Calculus Students Make with u Substitution

It can be your friend or you foe when trying to solve integrals, the sometimes dreaded and often misunderstood technique of u substitution. In integral calculus, substituting a function of u for x in the integral ∫...