You can solve it more to find the decimal point value. The reciprocal is also called the “Multiplicative Inverse”. To get the reciprocal of a number, we divide 1 by the number.

You use the opposite number because multiplication and division are also opposites. F-1(x) is the inverse of the reciprocal equation f(x). The domain and range of the given function become the range and domain of the reciprocal function. The following topics help in a better understanding of reciprocal functions. The reciprocal of a number is defined as a number that when multiplied by the given number results in one as the product. Hence, the reciprocal of a number is also called the ‘multiplicative inverse’ of the number.

  • The following video provides more examples of finding the opposite of a number.
  • To find the reciprocal of 5.6 we first write it as an improper fraction.
  • Use the skills you just learned to solve these problems.
  • Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors.

Hence, we can say that the number is multiplied by its reciprocal, we get 1. The reciprocal of a fraction can be found by interchanging the numerator and the denominator values. It is also expressed by the number raised to the power of negative one and can be found for fractions and decimal numbers too.

What Is Reciprocal Function In Math?

To find the reciprocal of a mixed fraction, it needs to be changed to an improper fraction. The reciprocal, also called the multiplicative inverse, is found by writing the original number as a fraction and “flipping” it. However, when you divide by a fraction you flip the fraction over so the numerator is on the bottom and the denominator is on top.

  • Enter 4 3/5 in the input box, then click Calculate button.
  • When we multiply a number by its reciprocal, the answer is always 1.
  • Usually, the reciprocal is expressed as a fraction, sometimes as an integer.
  • There is no limitation on the length of the resultant decimal, for this we use arbitrary-precision decimal arithmetic.
  • Then click Calculate button, as shown in the figure, the reciprocal of 0.25 is 4.
  • Then click Calculate button, as shown in the figure, the reciprocal of 40 is 140.

In Mathematics, the reciprocal of any quantity is, one divided by that quantity. If the given number is multiplied by its reciprocal, we get the value 1. To find the reciprocal of 9 we first write it as a fraction with 1 as the denominator. Get your free reciprocal maths worksheet of 20+ questions and answers.

Integer reciprocal example

Now, you get the fraction and do the same operation for finding the reciprocal by flipping the numerator and the denominator. For any negative number -x, the reciprocal pay by debit or credit card when you e can be found by writing the inverse of the given number with a minus sign along with that (i.e) -1/x. For example, the reciprocal of – 4×2 is written as -1/4×2.

The reciprocal is a number, multiplied by a hypothetical number X, which results in 1. Usually, the reciprocal is expressed as a fraction, sometimes as an integer. This online Reciprocal Calculator finds the reciprocal of a decimal number or a fraction (proper, improper or mixed number). The numerator and the denominator of a fraction are separated by the slash symbol (/) with no spaces in between. It is important to leave space between the whole number and the fraction part of a mixed number.

Application of Reciprocal

If, when dividing, you end up with a remainder of zero, then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal. When it is converted to an improper fraction, we get 11/4. If x is any real number, then the reciprocal of this number will be 1/x. For example, the reciprocal of 8 is 1 divided by 8, i.e. 1/8.

What Is the End Behavior of a Reciprocal Function?

Fractions include proper fractions, improper fractions or mixed fractions. In Maths, reciprocal is simply defined as the inverse of a value or a number. If n is a real number, then its reciprocal will be 1/n. It means that we have to convert the number to the upside-down form.

How To Solve Reciprocal Functions?

To find the reciprocal of a complex number, you can use our Complex Numbers Calculator by simply dividing 1 by that complex number. Now, try the calculator and find the reciprocal of the given fractions. From the above examples, we can see that the multiplication of a number to its reciprocal gives 1.

Follow these steps to find the reciprocal of different numbers. One divided by the given number gives us the reciprocal of a number. Because, if any reciprocal number is multiplied by 0, it will not give the product as 1. In other words, the reciprocal of a number is defined as the one divided by the given number. In maths, when you take the reciprocal twice, you will get the same number that you started with.

How To Differentiate A Reciprocal Function?

To precisely compute the reciprocals of the decimals/numbers, fractions, and mixed fractions, use the reciprocal calculator. It simplifies the process of finding the multiplicative inverse. The reciprocal calculator swiftly finds the reciprocal of different types of numbers, integers, simple fractions, and mixed fractions. Welcome to the Reciprocal Calculator, where you can quickly calculate the reciprocal of a number.

Therefore, we can have a reciprocal for all real numbers but not for zero. To find the reciprocal we turn the fraction upside down. If you’ve never worked with positive and negative numbers, you might want to review our lesson on negative numbers. To find the reciprocal of a Mixed Fraction, we first convert it to an Improper Fraction, then turn that upside down. To get the reciprocal of a fraction, just turn it upside down.