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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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MTG IIT JEE FOUNDATION-RATIONAL NUMBERS -NCERT Section (Exercise 1.1)
  1. Find the multiplicative inverse of the following. (1)/(5)

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  2. Find the multiplicative inverse of the following. (i) <img cl...

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  3. Find the multiplicative inverse of the following. (i) <img cl...

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  4. Find the multiplicative inverse of the following. -1

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  5. Name the property under multiplication used in each of the followin...

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  6. Name the property under multiplication used in each of the followin...

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  7. Name the property under multiplication used in each of the followin...

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  8. Multiply <img class="eeimg trnoresize" alt="\frac{6}{{13}}" src=...

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  9. Tell what property allows you to compute <img class="eeimg trnoresi...

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  10. Is (8)/(9) the multiplicative inverse of -1(1)/(8)? Why or why not?

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  11. Is 0.3 the multiplicative inverse of <img class="eeimg trnoresize" a...

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  12. Write. The rational number that does not have a reciprocal.

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  13. Write. The rational numbers that equal to their reciprocals.

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  14. The rational number that is equal to its negative.

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

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  16. Fill in the blanks. The number ……..and……… are their own reciprocals...

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  17. Fill in the blanks. The reciprocal of -5 is …………… .

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  18. Fill in the blanks. Reciprocal of 1/x, where x ne 0 is ……….. .

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  19. Fill in the blanks. The product of two rational numbers is always a...

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  20. Fill in the blanks. The reciprocal of positive rational number is ……...

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