Math calculations

Perfect Square

A number that can be expressed as the square of an integer.

Cubed Number

A number that is raised to the power of three.

Pythagorean Triple

A set of three positive integers (a, b, c) such that a² + b² = c².

Fraction

A part of a whole expressed as a ratio of two integers.

Decimal

A fraction expressed in a system that is based on powers of ten.

Percentage

A fraction or ratio expressed as a part of 100.

Divisibility Rule

A shortcut to determine whether a number can be divided by another number without a remainder.

Algebraic Identity

An equation that holds true for all values of the variable.

Approximate Square Root

An estimated value of the root of a number.

Factorial

The product of all positive integers up to a given number.

Shortcut for Multiplying by 11

Add the digits of a two-digit number together and place the result in the middle.

Quick Trick for Squaring Numbers Ending in 5

To square (10a + 5), use the formula 100a(a + 1) + 25.

Conversions (Fractions to Decimals)

The process of transforming a fraction into its decimal equivalent.

Same Tens Digit Multiplication

A multiplication technique where both numbers share the same tens digit.

Common Percentages

Standard percentages such as 10%, 20%, and 50% that have widely recognized decimal equivalents.