- #1
Orion1
- 973
- 3
Which of the following statements is true?
[tex]\frac{0}{0} = 0 \; \; \text{or} \; \; \frac{0}{0} = 1 \; \; \text{or} \; \; \frac{0}{0} = \infty[/tex]
Division by zero is a mathematical operation that is undefined because it is impossible to divide any number by zero and get a finite result.
Dividing by zero is undefined because it violates the fundamental property of division, where the quotient should be a unique value. In the case of dividing by zero, there are an infinite number of possible values, making it impossible to define a single answer.
The value of $\frac{0}{0}$ is undefined and cannot be determined. It cannot be equal to 0, 1, or infinity.
No, $\frac{0}{0}$ cannot be equal to 0, 1, or infinity because it is an undefined operation.
No, there are no situations where $\frac{0}{0}$ can be defined. In some cases, it may be possible to approach 0 in the numerator and denominator, resulting in an indeterminate form, but the actual value of $\frac{0}{0}$ remains undefined.