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Fill in the blanks. Zero has ………… reci...

Fill in the blanks.
Zero has ………… reciprocal.

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To solve the question "Zero has ………… reciprocal," we need to understand the concept of reciprocals. ### Step-by-step Solution: 1. **Understanding Reciprocals**: - The reciprocal of a number \( x \) is defined as \( \frac{1}{x} \). For example, the reciprocal of 2 is \( \frac{1}{2} \), and the reciprocal of \( \frac{1}{3} \) is 3. 2. **Finding the Reciprocal of Zero**: - To find the reciprocal of 0, we would write it as \( \frac{1}{0} \). 3. **Analyzing \( \frac{1}{0} \)**: - The expression \( \frac{1}{0} \) is undefined in mathematics. This means that there is no number that can be multiplied by 0 to give 1, which is the requirement for a reciprocal. 4. **Conclusion**: - Since the reciprocal of 0 cannot be defined, we conclude that "Zero has no reciprocal." ### Final Answer: Zero has **no** reciprocal.
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