Q.

Find the multiplicative inverse of Question Image


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a

Question Image

b

Question Image

c

Question Image

d

1 13 , 19 13 , 56 15   

answer is A.

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Detailed Solution

Concept- Finding the number's reciprocal, or flipping the numerator and denominator, reveals the multiplicative inverse.
Given Data,
Multiplicative inverse of  13, 13 19 , 5 8 × 3 7  
A multiplicative inverse or reciprocal for a number x, denoted by  1 x  or  x 1   , is a number which when multiplied by x yields the multiplicative identity, 1. Positive value of 1 only.
Multiplicative inverse of -13
Let the multiplicative inverse be x
According to the definition,
x(13)=1 x= 1 13  
Multiplicative inverse of  13 19  
Let the multiplicative inverse be x.
According to the definition,
x× 13 19 =1 x= 19 13  
Multiplicative inverse of  5 8 × 3 7  
i.e. Multiplicative inverse of  15 56  
Let the multiplicative inverse be x.
According to the definition,
x× 15 56 =1 x= 56 15  
Hence, the correct answer is 1) 1 13 , 19 13 , 56 15  
 
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Find the multiplicative inverse of