what is 0 divided by 0

10 months ago 44
Nature

Division by zero is a concept in mathematics where the divisor (denominator) is zero. In ordinary arithmetic, the expression has no meaning, as there is no number that, when multiplied by 0, gives a non-zero number. This leads to the conclusion that division by zero is undefined.

When it comes to the specific case of 0 divided by 0, there is no single choice of a number that works in the equation 0 * x = 0, which makes it impossible to define the value of 0/0. Therefore, by convention, 0/0 is left undefined.

In summary, division by zero, including 0 divided by 0, is undefined in mathematics due to the lack of a meaningful result when the divisor is zero.