###### algebra division, algebra division games, free algebra division games, algebra division puzzles, decimal multiplication worksheets, math algebra division, algebra division practice, math algebra division practice, algebra division practice online, math decimal subtraction practice online, algebra division games online, math algebra division games online, free math decimal multiplication games online, learn fraction division, decimal division learning, algebra division tips, math algebra division tips
algebra division
 Number Addition Subtraction Multiplication Division Mixed Operation Decimal Fraction Negative Number Percentage Coordinate Time Equation Geometry Word Problems
 (Math Online Home) algebra division Number of Visitors: Site Map # algebra division Online Practice Number Addition Subtraction Multiplication Division Mixed Operation Decimal Fraction Negative Number Percentage Coordinate Time Equation Geometry Word Problems

# algebra division

This site provides you with the information about algebra division, algebra division worksheets, algebra division games, free decimal multiplication games, algebra division puzzles, math algebra division, algebra division practice, math algebra division practice, algebra division practice online, math decimal addition practice online, algebra division games online, math algebra division games online, free math algebra division games online, learn decimal addition, algebra division learning, algebra division tips, math decimal multiplication tips, and more.

```algebra division

Division
There are two ways to think of division: as implying a
related multiplication, or as multiplying by the reciprocal.

Division as Related Multiplication

The statement "12 ?3 = 4" is true only because 3 x 4 = 12.
A division problem is really asking the question "What number
can I multiply the divisor by to get the dividend?"; and so
every division equation implies an equivalent multiplication
equation. In general:

a ?b = c if and only if a = b x c

This also shows why you cannot divide by zero. If we asked
"What is six divided by zero?" we would mean "What number
times zero is equal to six?", but any number times zero
gives zero, so there is no answer to this question.

Multiplicative Inverse (The Reciprocal)

For every real number a (except zero) there exists a real
number denoted by 1/a such that

a(1/a) = 1

* The number 1/a is called the reciprocal or multiplicative
inverse of a.
* Note that the reciprocal of 1/a is a. The reciprocal of the
reciprocal gives you back what you started with.

This allows us to define division as multiplication by
the reciprocal:

a ?b = a x (1/b)

This is usually the most convenient way to think of
division when you are doing algebra.

Notation for Division

Instead of using the symbol " ?" to represent division,
we prefer to write it using the fraction notation:

a
a ?b = ---
b

Sign Rules for Division

Because division can always be written as a multiplication
by the reciprocal, it obeys the same sign rules as
multiplication.

If a positive is divided by a negative, or a negative divided
by a positive, the result is negative:

a     -a      a
- --- = ---- = ----
b      b     -b

but if both numbers are the same sign, the result is positive:

-a     a
---- = ----
-b     b

```

 Number Addition Subtraction Multiplication Division Mixed Operation Decimal Fraction Negative Number Percentage Coordinate Time Equation Geometry Word Problems
 (Math Online Home) algebra division (c) EduSoftMax - www.edusoftmax.com