Divide. Select "Undefined" if applicable.
$\frac{1}{20} \div 0=0$
Answer (2)
The expression 20 1 ÷ 0 is undefined because division by zero does not produce a valid result. In mathematics, dividing any number by zero is impossible, as there is no number that multiplied by zero gives a valid outcome. Therefore, the answer is Undefined .
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Undefined
Explanation
Understanding the Problem We are asked to evaluate the expression 20 1 ÷ 0 . In other words, we want to compute the result of dividing the fraction 20 1 by zero.
Division by Zero In mathematics, division by zero is undefined. This is because division is the inverse operation of multiplication. If 20 1 ÷ 0 = x , then it would mean that 0 × x = 20 1 . However, any number multiplied by zero is zero, so there is no value of x that satisfies this equation. Therefore, division by zero is undefined.
Conclusion Since division by zero is undefined, the expression 20 1 ÷ 0 is undefined.
Examples
Consider a scenario where you have a pizza that you want to divide among a group of friends. If you have 20 1 of the pizza remaining and you want to divide it among 0 friends, the situation doesn't make sense. You cannot divide something among no one. This illustrates why division by zero is undefined in mathematics.
