MULTIPLICATION BY SERIES OF 9
CASE III
WHEN 9 SERIES IS LESS THAN NO.
STEP 1.COUNT THE NUMBER OF 9 IN THE SERIES AND MARK THAT IN THE NO.
STEP 2. Reduce the no. by 1 + the remaining no without mark
STEP 3. Take complementary of the marked no.
STEP 4. Write the final answer
e.g. 1 - 341 x 99
341 x 99 (there r 2 9’s so we have taken 2 nos. )
STEP 2. Reduce the no. by 1+ the remaining no without mark
3 + 1 =4
341-4=337
Complementary of 41 is 59
STEP 4. 33759
Finally answer will be 33759
e.g 2 - 4178 x 999
4178 x 999
(there r 3 9’s so we have taken 3 nos. )
4 + 1 =5
4178-5=4173
Complementary of 178 is 822
STEP 4. 4173822
Finally answer will be 4173822
e.g 3 - 50132 x 9999
50132 x 9999
(there r 4 9’s so we have taken 4 nos. )
5 + 1 =6
50132-6=50126
Complementary of 0132 is 9868
STEP 4. 501269868
Finally answer will be 501269868