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Q.

Which of the following shows the correct additive inverse and multiplicative inverse of a rational number respectively-


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a

Question Image 

b

Question Image

c

Question Image

d

None of these 

answer is A.

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Detailed Solution

Concept- In the case of an additive inverse, the sum of a rational number and its inverse should be equal to zero, while in the case of a multiplicative inverse, the product of a rational number and its reciprocal should be equal to one.
Let's assume that Question Image is a rational number.
We now understand that a number's additive inverse is a number that, when added to itself, produces zero.
Question ImageAs a result, Question Image has an additive inverse, which is Question Image.
Additionally, we are aware that the multiplicative inverse or reciprocal of a number is such that its value is equal to one when multiplied by the original number.
Question ImageAs a result, Question Image is a multiplicative inverse of a.
As a result, the multiplicative inverse of Question Image is Question Image, whereas the additive inverse of Question Image is Question Image.
Hence, the correct option is 1.
 
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Which of the following shows the correct additive inverse and multiplicative inverse of a rational number respectively-