Chapter 1 Vedic Mathematics Ex 1.1

Rajasthan Board RBSE Class 9 Maths Solutions Chapter 1 Vedic Mathematics Ex 1.1

By Sutra Ekadhikena Purvena, add the following:

Question 1.

Solution:

Question 2.

Solution:

Question 3.

Solution:

Question 4.

Solution:

By Vedic Method, subtract the following:

Question 5.

Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8

Solution:

By Sutra Ekadhikena Purvena, multiply the following:

Question 9.
42 x 48
Solution:
42 x 48 = 4 x 5/2 x 8
= 20 / 16
= 2016

Question 10.
103 x 107
Solution:
103 x 107 = 10 x 11 / 3 x 7
= 110 / 21
= 11021

Question 11.
294 x 206
Solution:
294 x 206 = 2 x 3 / 94 x 06
= 6 / 0 564
= 60564

Question 12.
413 x 487
Solution:
413 x 487 = 4 x 5 / 13 x 87
= 20 / 1131
= 201131

Multiply with the help of Sutra Ekanyunena Purvena

Question 13.
54 x 99
Solution:
L.H.S = 54 – 1 = 53
R.H.S = 99 – 53 = 46
∴54 x 99 = 54 – 1 / 99 – 53
= 5346

Question 14.
214 x 999
Solution:
L.H.S = 214 – 1 = 213
R.H.S = 9 99 – 213 = 786
∴214 x 999 = 214 – 1 / 999 – 213
= 213786

Question 15.
47 x 999
Solution:
L.H.S = 047 – 1 = 046
R.H.S = 999 – 046 = 953
∴ 47 x 999 = 047 – 1 / 999 – 046
= 046953
= 46953

Question 16.
342 x 99999
Solution:
L.H.S = 00342 – 1 = 00341
R.H.S = 99999 – 00341 = 99658
∴00342 x 99999
= 00342 – 1 /99999 – 00341
= 0034199658

Question 17.
73 x 9
Solution:
L.H.S = 73 – 1 = 72
R.H.S = 9 – 72
∴73 x 9 = 73 – 1 / 9 – 72
= 72/9 – 72
= 729 – 72
= 657

Question 18.
467 x 99
Solution:
L.H.S = 467 – 1 = 466
R.H.S = 99 – 466
∴ 467 x 99 = 467 – 1 / 99 – 466
= 466 / 99 – 466
= 46699 – 466
= 46233

By Vedic method multiply the following:

Question 19.

Solution:

(i) Sum of the fractions = 
(ii) Rest Nikhilam digits are same i.e., 15.

Question 20.

Solution:


(i) Sum of the fractions = 
(ii) Rest Nikhilam digits are same i.e., 24.

Question 21.
4.5 x 4.5
Solution:
4.5 x 4.5
= 4 x 5 / 0.5 x 0.5
= 20 / 0.25 = 20.25
(i) Sum of the decimals = 0.5 + 0.5 = 1
(ii) Rest Nikhilam digits are same i.e., 4.

Question 22.
9.85 x 9.15
Solution:
9.85 x 9.15
= 9 x 10 / 0.85 x 0.15
= 90 / 0.1275
= 90.1275
(i) Sum of the decimals
= 0.85 + 0.15 = 1
(ii) Rest Nikhilam digits are same i.e., 9.