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Q
QuestionMathematics

What is 0 / 7 simplified? A. 7 B. 70 C. 0 D. Undefined
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Answer

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Step 1:
I'll solve this step by step:

Step 2:
: Understand the Division Operation

When dividing zero by any non-zero number, the result is always zero. This is a fundamental rule of division.

Step 3:
: Evaluate \frac{0}{7}

- $$\frac{0}{7} = 0
- The numerator is 0 - The denominator is 7 (a non-zero number)

Step 4:
: Check the Conditions

- Zero divided by any non-zero number equals zero - The denominator (7) is not zero, so the division is defined

Step 5:
: Eliminate Incorrect Options

- A. 7 ❌ (Incorrect) - B. 70 ❌ (Incorrect) - C. 0 ✅ (Correct) - D. Undefined ❌ (Incorrect, because the division is defined)

Final Answer

Key Insight: Any number multiplied by zero is zero, and dividing zero by a non-zero number results in zero. The only time division is undefined is when you divide by zero.