Numbers impact our lives in thousands of ways on a daily basis.

But . . . although Numbers are used for thousands of different purposes, their underlying properties are the same for all situations.

(Numbers behave exactly the same way whether you are calculating the sales tax on your grocery receipt, measuring the length of a table, looking at a clock, or charting the stock market.)

This is quite an advantage.

We only need to learn one small set of principles.

In addition, the variables used in algebra behave the same way numbers behave - because variables represent numbers.

If you understand arithmetic thoroughly, you automatically understand the mechanics of algebra . . . without learning anything new.

The application of Algebra to solve math problems does require additional study, but the mechanics of Algebra (addition, multiplication, combining fractions, etc.) is exactly the same as the mechanics of arithmetic.

Associative
Property Commutative
Property Distributive
Property

Identity
Property Inverse
Property Closure Property
Density Property

Properties of Equivalence - click description

Equivalence
Relationships Equivalence
Properties Equivalence
Examples

Properties of Inequality - click description

Trichotomy
Property of Inequality Transitive
Property of Inequality Reversal
Property of Inequality

Additive
Property of Inequality Multiplicative
Property of Inequality Exponents and Roots
Properties of Inequality