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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) -3-5
(vi) 23×94
(vii) -58×1615
(viii) -2×-35
(ix) −1
(x) 03
(xi) 1


Solution

(i) Multiplicative inverse (reciprocal) of 9 = 19(ii) Multiplicative inverse (reciprocal) of -7 = -17(iii) Multiplicative inverse (reciprocal) of 125 = 512(iv) Multiplicative inverse (reciprocal) of -79 = -97(v) Multiplicative inverse (reciprocal) of -3-5 = -5-3 or 53(vi) Multiplicative inverse (reciprocal) of 23×94 = 32×49=23(vii) Multiplicative inverse (reciprocal) of -58×1615 = 8-5×1516=-32(viii) Multiplicative inverse (reciprocal) of -2×-35 = 1-2×5-3=56(ix) Multiplicative inverse (reciprocal) of -1 = 1-1=-1(x) Multiplicative inverse (reciprocal) of 03 = 30=undefined (ix) Multiplicative inverse (reciprocal) of 1 = 11=1

Mathematics
RD Sharma (2019, 2020)
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