Reciprocal In Algebra
Turn it upside down!
Reciprocal of a Number
To get the reciprocal of a number, just divide 1 by the number.
|Number||Reciprocal||As a Decimal|
Reciprocal of a Variable
If you are given a variable "x", its reciprocal is "1/x".
Likewise, if you are given something more complicated like "x/y" then the reciprocal is just "y/x". In other words turn it upside down.
Example: What is the Reciprocal of x/(x-1) ?
Answer: take x/(x-1) and flip it upside down: (x-1)/x
Flipping a Flip
If you take the reciprocal of a reciprocal you end up back where you started!
The reciprocal of ax/y is y/ax
The reciprocal of y/ax is ax/y (back again)
Example: What is:
The reciprocal of "x" is shown as:
|or||x-1 (see exponents)|