Questions: 8 ÷ 0 = □ 0 ÷ 2 = □

Transcript text: \[ \begin{aligned} 8 \div 0 & =\square \\ \frac{0}{2} & =\square \end{aligned} \]

Solution

Solution Steps

To evaluate the given expressions, we need to understand the rules of division involving zero. Dividing any number by zero is undefined, while zero divided by any non-zero number is zero.

Step 1: Understand the Problem

We need to evaluate two expressions involving division and determine if they are defined or undefined.

Step 2: Evaluate \(8 \div 0\)

Division by zero is undefined in mathematics. Therefore: \[ 8 \div 0 = \text{Undefined} \]

Step 3: Evaluate \(\frac{0}{2}\)

Dividing zero by any non-zero number is defined and equals zero. Therefore: \[ \frac{0}{2} = 0 \]

Final Answer

\[ \begin{aligned} 8 \div 0 & = \boxed{\text{Undefined}} \\ \frac{0}{2} & = \boxed{0} \end{aligned} \]

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