Is 0 divided by 6 undefined?
Understand the Problem
The question is asking whether dividing zero by six results in an undefined value or a determinate value. We are going to analyze the concept of division and whether zero can be in the numerator.
Answer
$0$
Answer for screen readers
The answer is $0$.
Steps to Solve
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Understanding Division by Zero Division is defined as the process of determining how many times one number can be subtracted from another number. When dividing any number by another, if the denominator is zero, it means you cannot divide it into equal parts.
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Dividing Zero by a Non-zero Number When we divide zero by a non-zero number like six, we express this mathematically as: $$ \frac{0}{6} $$ This represents the number of times six can fit into zero, which is clearly zero.
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Conclusion about Zero in Division Thus, dividing zero by six does not result in an undefined value. Instead: $$ \frac{0}{6} = 0 $$
The answer is $0$.
More Information
Any time you divide zero by a non-zero number, the result will always be zero. Division by zero itself (i.e., dividing any number by zero) is what leads to an undefined result, not the reverse.
Tips
A common mistake is confusing the division of zero by a number with division by zero. Remember, $0$ divided by any non-zero number is always $0$, while dividing by zero is undefined.
