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Find the multiplicative inverse of the f...

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

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To find the multiplicative inverse of -1, we need to follow these steps: ### Step 1: Understand the concept of multiplicative inverse The multiplicative inverse of a number \( x \) is another number \( y \) such that when you multiply \( x \) and \( y \), the result is 1. This can be expressed mathematically as: \[ x \times y = 1 \] ### Step 2: Set up the equation Let’s denote the number we are finding the multiplicative inverse for as \( x = -1 \). We need to find \( y \) such that: \[ -1 \times y = 1 \] ### Step 3: Solve for \( y \) To find \( y \), we can rearrange the equation: \[ y = \frac{1}{-1} \] ### Step 4: Calculate \( y \) Now, we can compute: \[ y = -1 \] ### Conclusion Thus, the multiplicative inverse of -1 is: \[ \text{Multiplicative Inverse of } -1 = -1 \]
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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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