Question
Evaluate each expression below. Click on "Undefined" as needed. \( \frac{8}{0}=\square \) \( 0 \div 5=\square \)
Ask by Maxwell Norton. in the United States
Feb 20,2025
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Tutor-Verified Answer
Answer
\( \frac{8}{0} = \text{Undefined} \)
\( 0 \div 5 = 0 \)
Solution
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The Deep Dive
The first expression, \( \frac{8}{0} \), is undefined. Division by zero is not allowed in mathematics because there is no number that, when multiplied by zero, gives a non-zero number. The second expression, \( 0 \div 5 \), equals 0. This is because when zero is divided by any non-zero number, the result is always zero, as you're essentially asking, "how many times does 5 go into 0?" The answer is 0 times!