Reciprocal Functions: Definition, Examples & Graphs

Reciprocal of a Variable Likewise, the reciprocal of a variable "x" is "1/x". And the reciprocal of something more complicated like "x/y" is "y/x". In other words turn it upside down.John D. Jun 12, 2018 The reciprocal of a number is another word for its multiplicative inverse, or the number which gives 1 when multiplied by the original number. To find the reciprocal of any number, simply take 1 and divide it by that number.The reciprocal of a number is 1 divided by the number.. The reciprocal of a number is also called its multiplicative inverse. The product of a number and its reciprocal is 1. All numbers except 0 have a reciprocal.To get the reciprocal of the fraction simply swap or interchange the roles of the numerator and denominator. You may say that we just turn the original fraction upside down. Examples of Finding the Reciprocal of a FractionWhat Does a Multiplicative Inverse or Reciprocal Mean? A multiplicative inverse or reciprocal for a number n, denoted by 1 n or n −1 (n to the power of minus one), is a number which when multiplied by n, their product is 1. In other words, the reciprocal of any number is one divided by that number.

How do you find the reciprocal of 3? | Socratic

What does reciprocal mean? Corresponding but reversed or inverted. (adjective)Reciprocal tax agreements allow residents of one state to work in other states without having taxes for that state withheld from their pay. They would not have to file nonresident state tax returns there, assuming they follow all the rules. You can simply provide your employer with a required document If you work in a state that has reciprocityReciprocal is an adjective used to describe things that involve an action done in response to another action in a way that is equivalent to it. To perform such an action is to reciprocate, and the act of doing so is called reciprocation. For example, when someone does you a favor, you can reciprocate by doing something nice for them.Reciprocal functions are the reciprocal of some linear function. For example, the basic reciprocal function y= 1 / x is the reciprocal of y=x. Likewise, the reciprocal of y= (2 / 3)x+4 is y= (3 / 2 x+12). In fact, for any function where m= p / q, the reciprocal of y=mx+b is y=q/ (px+qb).

The Reciprocal of a Number - Tutorialspoint

1 Mathematics An expression or function so related to another that their product is unity; the quantity obtained by dividing the number one by a given quantity. 'the compressibility is the reciprocal of the bulk modulus'Reciprocal of a Fraction. To get the reciprocal of a fraction, just turn it upside down. Like this: Fractions A Fraction (such as 34) has two numbers: . NumeratorDenominator. We call the top number the Numerator, it is the number of parts we have. We call the bottom number the Denominator, it is the number of parts the whole is divided into.. Reciprocal of a FractionIf z = a + i b is a complex number, then reciprocal of it is given by. Step 2: Multiply numerator and denominator by conjugate. Multiply numerator and denominator of the inverted number by conjugate of denominator. Step 3: Simplify and find the reciprocal. Simplify above equation in step (2). Numerator is multiplied by 1 and is already simplified.re·cip·ro·cal (rĭ-sĭp′rə-kəl) adj. 1. Done, given, felt, or owed in return: a reciprocal invitation to lunch. 2. Existing, experienced, or done on both sides: reciprocal agreements between nations; reciprocal admiration between friends. 3. Grammar Expressing mutual action or relationship. Used of some verbs and compound pronouns. 4. MathematicsReciprocal of a Fraction Calculator is a free online tool that displays the reciprocal or multiplicative inverse of a given number. BYJU'S online reciprocal of a fraction calculator tool makes the calculations faster and it displays the multiplicative inverse of a given number in a fraction of seconds.

The reciprocal is simply: 1/number

To get the reciprocal of a number, we divide 1 by the quantity.

Example: the reciprocal of 2 is ½ (a part) More Examples: Number Reciprocal As a Decimal 5 15 = 0.2 8 18 = 0.125 1000 11000 = 0.001

Like Turning the Number Upside Down

We can suppose of a complete quantity as being "number/1", so the reciprocal is rather like "flipping it over":

Number Reciprocal 5 = 51 1 5 8 = 81 1 8 1000 = 10001 1 1000

For Fractions, Flip the Whole Fraction Over

Example: the reciprocal of 3/Four is 4/3

Read extra at Reciprocal of a Fraction.

Flipping a Flip

The reciprocal of a reciprocal takes us again to the place we began:

Example:

The reciprocal of Four is 1/4

The reciprocal of 1/Four is 4 (again to Four once more)

It may assist to bear in mind that "Reciprocal" comes from the Latin reciprocus which means returning. Like going to the shops after which returning house again.