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Question

Find the multiplicative inverse (reciprocal) of each of the following rational numbers:

(i) 9                                                                   (ii)-7

(iii)125                                             (iv)79

(v)35                                             (vi)23×94

(vii)58×1615              (viii)2×35

(ix) -1                                                             (x)03 

(ix)-1                                                              (xi)1


Solution

(i) Multiplicative inverse of 9= 19

(ii)Multiplicative inverse of -7= 17

(iii)Multiplicative inverse of 125=512

(iv)Multiplicative inverse of79=97

(v)Multiplicative inverse of 35=53=53

(vi)Multiplicative inverse of23×94=32×49=3×42×9=1×21×3=23

(vii)Multiplicative inverse of 58×1615=85×1516=8×155×16=1×31×2=32=3×(1)2×(1)=32

(viii)Multiplicative inverse of2×35=12×52×53=1×5(2)×(3)=56

(ix)Multiplicative inverse of -1 = -1

(x)Multiplicative inverse of 0 = Does not exist as division by 0 is not admissible.

(xi)Multiplicative inverse of 1 = 1.

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