The Reciprocal of 1 is

The reciprocal of 1 is 1 itself.

The reciprocal of a number is obtained by taking the multiplicative inverse of that number. The multiplicative inverse of a number a is another number b such that a × b = 1. In the case of 1, its multiplicative inverse or reciprocal is also 1.

Mathematically, if a is a non-zero number, the reciprocal of a is denoted as 1/a​. Therefore,

for a = 1, the reciprocal is ​1/1, which simplifies to 1.

The reason the reciprocal of 1 is 1 is rooted in the fundamental properties of multiplication. Any non-zero number multiplied by its reciprocal results in 1. In the case of 1, multiplying it by 1 gives the desired product:

1 × ​1/1 = 1

This relationship holds true for any non-zero number, and understanding reciprocals is foundational in various mathematical concepts, including algebra and calculus. Reciprocals play a crucial role in division, solving equations, and understanding the relationships between numbers in mathematical operations