what is 1 divided by 0

1 week ago 6
Nature

Dividing 1 by 0 is mathematically undefined. The reason is that division is the inverse operation of multiplication. If we say 1 divided by 0 equals some number x, then multiplying x by 0 should give 1. But since any number multiplied by 0 is always 0, there is no number x that satisfies this condition. Mathematically, 1/0 cannot be assigned a meaningful or unique value. While dividing by numbers very close to zero gives very large numbers tending towards infinity, 1/0 itself is not defined as infinity in standard arithmetic because it leads to contradictions. In summary:

  • Division by zero is undefined.
  • 1 divided by 0 has no value because it breaks the fundamental rules of arithmetic.
  • Attempts to define 1/0 as infinity or any other number lead to inconsistencies.

Thus, 1 divided by 0 is simply undefined in mathematics. This is the standard accepted explanation by mathematicians.