What is 1 divided by 0?

1 divided by zero is undefined in mathematics.

Division by zero is undefined in mathematics due to the fundamental principles of arithmetic. When we divide a number by another, we are essentially asking how many times the divisor can fit into the dividend. However, when the divisor is zero, there is no meaningful answer to this question.

Mathematically, division can be thought of as the inverse operation of multiplication. For example, when we say 6÷2=3, it means that if we multiply 2 by 3, we get 6. However, when we attempt to divide by zero, this concept breaks down.

Imagine dividing a quantity into zero parts. Since there are no parts, it’s impossible to distribute the quantity evenly.

In summary, division by zero is undefined because it violates the fundamental principles of arithmetic and leads to contradictions and inconsistencies in mathematical operations. Therefore, mathematicians treat division by zero as an invalid operation.