  Question

# Find the multiplicative inverse (reciprocal) of each of the following rational numbers: (i) 9                                                                   (ii)-7 (iii)125                                             (iv)−79 (v)−3−5                                             (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= 1−7 (iii)Multiplicative inverse of 125=512 (iv)Multiplicative inverse of−79=9−7 (v)Multiplicative inverse of −3−5=−5−3=53 (vi)Multiplicative inverse of23×94=32×49=3×42×9=1×21×3=23 (vii)Multiplicative inverse of −58×1615=8−5×1516=8×15−5×16=1×3−1×2=3−2=3×(−1)−2×(−1)=−32 (viii)Multiplicative inverse of−2×−35=1−2×52×5−3=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.  Suggest corrections   