1.

Multiply with the help of Sutra Ekanyunena Purvena(i) 54 x 99(ii) 214 x 999(iii) 47 x 999(iv)  342 x 99999(v) 73 x 9(vi) 467 x 99

Answer»

(i) 54 x 99

L.H.S = 54 – 1 = 53

R.H.S = 99 – 53 = 46

∴54 x 99 = 54 – 1/99 – 53

= 5346

(ii) 214 x 999

L.H.S = 214 – 1 = 213

R.H.S = 9 99 – 213 = 786

∴ 214 x 999 = 214 – 1/999 – 213

= 213786

(iii) 47 x 999

L.H.S = 047 – 1 = 046

R.H.S = 999 – 046 = 953

∴ 47 x 999 = 047 – 1/999 – 046

= 046953

= 46953

(iv)  342 x 99999

L.H.S = 00342 – 1 = 00341

R.H.S = 99999 – 00341 = 99658

∴00342 x 99999

= 00342 – 1 /99999 – 00341

= 0034199658

(v) 73 x 9

L.H.S = 73 – 1 = 72

R.H.S = 9 – 72

∴ 73 x 9 = 73 – 1/9 – 72

= 72/9 – 72

= 729 – 72

= 657

(vi) 467 x 99

L.H.S = 467 – 1 = 466

R.H.S = 99 – 466

∴ 467 x 99 = 467 – 1/99 – 466

= 466/99 – 466

= 46699 – 466

= 46233



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