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
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