The reciprocal of 0 is undefined. As the reciprocal of 0 is equal to 1 divided by 0, the value of 1/0 is equal to undefined. Sometimes, we write

1/0 = ∞.

## Value of 1/0

Let us assume that x is the value of 1/0, that is,

$\dfrac{1}{0}=x$

⇒ $\dfrac{1}{0}=\dfrac{x}{1}$

Now, cross-multiplying we obtain that

$x \times 0 = 1 \times 1$

⇒ 0=1

Thus, we conclude that such an x cannot exist.

Therefore, the value of 1/0 is not defined, and it is written mathematically by 1/0=∞.

As the reciprocal of 0 is equal to 1/0, the value of the reciprocal of 0 is not a well-defined number. Symbolically, the reciprocal of 0 is equal to ∞.

**ALSO READ:**

## FAQs

### Q1: What is reciprocal of 0?

Answer: The reciprocal of 0 is not defined.

### Q2: What is the value of 1/0?

Answer: 1/0 (1 divided by 0) does not exist, it is written by the symbol ∞.