Question

The reciprocal of the reciprocal of a number is

Answer 1

Answer:

The reciprocal of the reciprocal of a number is the Original Number or the Number Itself.

Step-by-step explanation:

• The reciprocal ,also known as multiplicative inverse, of a number x is the number which, when multiplied by x , gives 1 only .

• If we calculate the product of a number and its reciprocal, we will always get 1 . This is known as  the property of reciprocals .

• The reciprocal of a number is also called  multiplicative inverse.
• Reciprocal of a number x is written as $\frac{1}{x}$ or $x^{-1}$

• Reciprocal of a reciprocal gives the original number, that is the number itself. For example, reciprocal of 6 is 1/6 and reciprocal of 1/6 is 6.

• We can obtain the reciprocal of a mixed fraction by converting the mixed fraction into an improper fraction and then by determining its reciprocal.

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Answer 2

Answer:

The reciprocal of the reciprocal of $a$ number is the number itself.

Step-by-step explanation:

Reciprocal of a number:-

• The multiplicative inverse of a number or a value is called the reciprocal of a number.
• The conversion of upside down or vice versa of a number is called the  reciprocal of a number.

According to the question,

Consider any number as follows:

a/b, b ≠ 0

Then, the reciprocal of the number a/b is,

= b/a, a ≠ 0

Again,

Take the reciprocal of the number b/a, we get

a/b, a ≠ 0

Therefore, the reciprocal of the reciprocal of $a$ number is the number itself.

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