Is 0/4 undefined?
Understand the Problem
The question is asking whether the expression 0 divided by 4 is considered undefined in mathematics. In this case, dividing zero by any non-zero number is defined and equals zero.
Answer
The expression $0 \div 4$ equals $0$.
Answer for screen readers
The expression $0 \div 4$ is defined and equals $0$.
Steps to Solve
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Recognizing the Division of Zero When we divide zero by any non-zero number, the operation is defined. For example, $0 \div 4 = 0$.
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Understanding Division by Zero Division by zero, such as $4 \div 0$, is considered undefined because there is no number that, when multiplied by zero, will give a non-zero number.
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Conclusion About 0 Divided by 4 In this case, since we are dividing 0 by 4, which is a non-zero number, the result is simply $0$.
The expression $0 \div 4$ is defined and equals $0$.
More Information
Dividing zero by any non-zero number always results in zero, which is an important concept in mathematics. Also, it highlights the distinction between valid and invalid operations in division.
Tips
- Confusing $0 \div 4$ with $4 \div 0$: Remember that dividing by a non-zero number is valid, while dividing by zero is not.