While explaining the ways in which we tackle the math here on this site it is sometimes easier to use the correct definition for the parts of the equation. The problem with this approach is not everyone is familiar with those definitions.

In this page I will cover the basic math definitions for terms that are used throughout this site and a few extra ones for good measure. I have grouped some of them by the basic operations they are used in:

## General

* Unit *is a single quantity regarded as a whole in calculation.

** Number **is a word or symbol (such as “four” or “21”) that represents a specific amount or quantity.

* Digit *is any of the numerals from 0 to 9, especially when forming part of a number.

* Odd number* is any integer that cannot be divided exactly by 2.

* Even number* is any integer that can be divided exactly by 2.

* Complement* is the amount you must add to something to make it "whole". There are a number of different "whole" values that we use complements. For example: 9, 10, 100, 1000.

If we have a number less than ten then the complement of 10 would be the amount needed to add to this number so that the sum equals 10.

## Addition

* Addition *is the act or process of adding numbers.

* Addend *is any of a set of numbers that is to be added.

* Augend *is a number to which another is added to form a sum.

* Sum* is the solution of the addition.

Addition is **commutative**, meaning that order you do the addition does not matter.

It is for this reason that the numbers being summed are simply referred to as addends.

The commutative property of addition is written like this:

where **a** and **b** are real numbers

Addition is **associative**, meaning that when one adds more than two numbers, it does not matter which order the addition is performed.

The associative property of addition is written like this:

where **a** , **b **and** c** are real numbers

## Subtraction

* Subtraction *is the operation of deducting one number from another

* Minuend *is the number that is to be subtracted from.

* Subtrahend *is the number that is to be subtracted.

* Difference *is the result of subtracting one number from another.

## Multiplication

**Multiplicand** is the number to be multiplied

**Multiplier** is the number by which another number is multiplied

**Product** is the number or expression resulting from the multiplication together of two or more numbers or expressions.

**Factor** is a number that evenly divides a larger number.

As Multiplication is **commutative**, meaning that order you do the multiplication does not matter. Both the multiplicand and the multiplier are often referred to as factors.

The **commutative** property of multiplication is written like this:

where **a** and **b** are real numbers

Multiplication is **associative**, meaning that when one multiplies more than two numbers, it does not matter which order the multiplication is performed.

The associative property of multiplication is written like this:

where **a** , **b **and** c** are real numbers

## Division

Division can be written in two different ways:

**Quotient** is the number resulting from the division of one number by another. It is from a latin word meaning "how many times?"

**Divisor** is the number by which another number is being divided.

**Dividend** is a number that is being divided by another number.

**Remainder** is the number that is left over when one number does not divide evenly into another number.

## Leave a Reply