Basic Arithmetic
Addition
Commutative
Associative
Identity Element
Additive Inverse
Subtraction
Properties
It is neither commutative nor associative.
Multiplication
Commutative
Associative
Identity Element
Multiplicative Inverse
Division
Properties
It is neither commutative nor associative.
Powers and Roots
Powers
Multiplication of powers with the same base
Division of powers with the same base
Power of a power
Power of a product
Power of a quotient
Roots
Square Root
Cube Root
Product of roots
Quotient of roots
Root of a power
Representation of Numbers
Decimal Numbers
Conversion from Decimal to Fraction
Sum of Decimals
Scientific Notation
Expressing a Number in Scientific Notation
where
Sum in Scientific Notation
- Ensure that the powers of 10 are the same before adding.
Algebra
Linear Equation
Quadratic Equation
Solution using the quadratic formula:
Binomial Formula
Difference of Squares
Cube of a Binomial
Factoring Trinomials
where
Absolute Value
Inequality
Triangle Inequality
Proportions and Percentages
Percentage Calculation
Increase of a Percentage
Decrease of a Percentage
Proportions
Direct Proportion
Inverse Proportion
Simple Rule of Three
Compound Rule of Three
If there are more than two variables, the compound rule of three can be expressed as: