What Is The Reciprocal Of -2.4

The word reciprocal has its roots in Latin as the word “reciprocus” meaning “returning”. On taking reciprocal of an inverted number, it returns to the original number. The reciprocal of a given number when multiplied past that number gives one as a product. Thus, information technology is also chosen the multiplicative changed.

In math, reciprocal tin can simply be defined as the inverse of a number or a value. For a real number n, reciprocal is i/north, such every bit reciprocal of 3 is ane/iii. Similarly, reciprocal of 5 is 1/5 then on. What is the reciprocal of 0? What is the reciprocal of decimal number? Let’s acquire about it all in this lesson.

1. What is Reciprocal?
two. How to Observe the Reciprocal of a Number?
three. Reciprocal of a Negative Number
4.
Reciprocal of a Decimal Number
v. Reciprocal of a Fraction
6. Reciprocal of a Mixed Number
6. FAQs on Reciprocal Definition

What is Reciprocal?

According to the reciprocal definition in math, thereciprocal of a number
is defined as the expression which when multiplied by the number gives the production equally 1. In other words, when the product of 2 numbers is 1, they are said to be reciprocals of each other. The reciprocal of a number
is also divers equally the division of one by that number.

The multiplicative changed is a commonly-used reciprocal synonym. Yous may come up beyond this term in the time to come. They mean the same.

Reciprocal of a Number

How to Find the Reciprocal of a Number?

We are already familiar that the reciprocal of a number is the inverse of the given number and nosotros can hands detect information technology for whatever number past writing 1 over it. Nosotros can find the reciprocal of natural numbers, integers, fractions, decimals, likewise equally mixed fractions. Let’s have a look at the table given below.

Blazon Reciprocal Example
Natural Number 10 one/x Reciprocal of 4 is 1/4
Integer 10, x≠0 1/x Reciprocal of -4 is -1/4
Fraction 10/y, x,y≠0 y/x Reciprocal of ii/vii is 7/ii
Decimal (x) 1/x Reciprocal of 0.ane is i/0.1

Reciprocal of a Negative Number

For any negative number -north, reciprocal will exist its changed with a minus sign with it. Also, for variable terms, such as -axii, reciprocal can be calculated and thus, reciprocal will exist -1/ax2. The following steps tin can be followed to find the reciprocal of any negative number or variable:

  • Step 1:For any negative number, brand it an improper fraction by writing one beneath it as the denominator.
  • Step ii: Interchange the numerator and denominator.
  • Step three: Add a negative sign to the resultant value.

For case, the reciprocal of -31 is -ane/31.

Reciprocal of a Decimal Number

Information technology’s even easier to find the reciprocal of a decimal number. To find the reciprocal of a decimal number, just divide 1 past the decimal number or write i over the number.

For example, the reciprocal of ix.8 is one/9.8

Reciprocal of a Fraction

All fractions consist of a numerator and a denominator. To observe the reciprocal of a fraction, interchange the numerator and denominator. The resultant fraction is the required reciprocal. The reciprocal of a fraction, consisting of variables tin can be calculated in the aforementioned manner

For example, the reciprocal of seven/10 is ten/7 and similarly the reciprocal of a/b is b/a.

Reciprocal of a Mixed Number

A mixed fraction or a mixed number is a mixture of a
whole number

and a proper fraction. This tin a mixture of numbers or even variables. Reciprocal of mixed fractions are always proper fractions. The following steps tin be followed to find the reciprocal of a mixed number:

  • Step 1: Convert the mixed number to an improper fraction.
  • Stride two: Interchanging the numerator and denominator. The resultant fraction is the required reciprocal.

For example, the reciprocal of \(2\frac{1}{3}\):

  • The improper grade of \(3\frac{1}{2}\) is 7/two
  • The reciprocal of 7/2 is 2/7.

Important Points

  • The reciprocal of a number is also called its multiplicative inverse.
  • The product of a number and its reciprocal is equal to ane.
  • Reciprocal of a reciprocal gives the original number. For example, reciprocal of five is 1/v and reciprocal of 1/v is 5.
  • Reciprocal of a number x is written equally 1/x or x-1.
  • Reciprocal of a mixed fraction tin can be obtained past converting the mixed fraction into an improper fraction and determining its reciprocal.



FAQs on Reciprocal Definition

How do you Explain Reciprocal?

The reciprocal of a number is 1 divided by that number. Information technology can as well be explained as: when the product of two numbers is one, they are said to be reciprocals of each other.

What is the Reciprocal of one?

The reciprocal of i is 1. To determine the reciprocal of i, divide ane past i. (1/one = 1)

Does 0 take a Reciprocal?

No, 0 has no reciprocal. All numbers have reciprocals, except 0.

How to Detect Reciprocal of a Mixed Number?

The post-obit steps tin be followed to observe the reciprocal of a mixed number:

  • Step ane: Convert the mixed number to an improper fraction.
  • Footstep 2: Interchanging the numerator and denominator. The resultant fraction is the required reciprocal.

For Instance, reciprocal of \(3\frac{1}{2}\) = 2/7.

What is the Difference Between Reciprocal and Changed?

The inverse means opposite functioning, such as addition and subtraction are changed operations, whereas the reciprocal refers to the changed of any value, besides called the multiplicative inverse.

What is Another Give-and-take for Multiplicative Inverse?

Reciprocal is another word for the multiplicative changed.

What is the Reciprocal of Infinity?

The reciprocal of infinity is zero (0). (i/∞=0)

What is the Reciprocal of a Decimal Number?

The reciprocal of a decimal is one divided past the decimal number or i over the number.

How to Find the Reciprocal of a Negative Number?

To find the reciprocal of a negative number follow the steps given below:

  • Footstep i: For any negative number, go far an improper fraction past writing one beneath it.
  • Step two: Swap or interchange the numerator and denominator.
  • Pace 3: Add a negative sign to the resultant value.

For example, reciprocal of -9 is -1/9.

Source: https://www.cuemath.com/numbers/reciprocal-definition/

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