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1.

Multiply 12 × 13by Nikhilam sutra on base 10.

Answer»

Directions –

(i) Closest base = 10, so devia-tions are +2 and +3.

(ii) Multiplication of deviations = 2 × 3 = 6.

(iii) On left hand side, write 12 + 3 = 15 or 13 + 2 = 15.

(iv) Required solutions 156.
Discussion
2.

Multiply 9 × 11

Answer»

Directions –

(i) Closest base = 10, so deviations are -1 and 1.

(ii) Multiplication of deviations = -1 × 1 = -1.

(iii) On the left hand side, write 9 + 1 = 10 or 11 – 1 = 10.

(iv) Negative number can not be put on right side. So borrow one carry from left side and make it positive.

(v) On the left and side, write 10 – 1 = 9.

(vi) Required solution is 99.
Discussion
3.

Multiply 14 × 17

Answer»

Directions –

(i) Closest base = 10 so deviations are +4 and +7.

(ii) Multiplication of deviations = 7 × 4 = 28.

(iii) On the left hand side, write 14 + 7 = 21 or 17 + 4 = 21.

(iv) On left side there are 2 digits, so we have to shift one digit from right side (because base 10 has only one zero, therefore only one digit will remain on right side).

(v) On left side we will write 21 + 2 = 23.

(v) Required solution is 238.
Discussion