A General formula for Multiplication, Multiplication in three simple steps
Indians have been famous for their mathematical skills since ancient times.
Romith Rao has derived for the first time ever a general formula for multiplication and has devised a simple three step method to multiply any two numbers. The research has been published on his website http://www.romithrao.com.
Let x and y be any two integers with integers u1 and u2 in their units place respectively. |
Then x*y= [(x-u1)*(y-u2)] + {[(x-u1)* u2]+[(y-u2)*u1]} +u1u2 .
The formula has been derived by Mr. Romith Rao and the Paper has been submitted to the Journal of the Ramanujan Mathematical Society.
The formula is exceptional as it holds good for multiplying any two numbers from plus infinity to minus infinity. The simple three step method is very handy use for students appearing in competitive exams where a calculator is not allowed and time is a constraint.
Mr. Romith Rao is an engineer by qualification and an entrepreneur. He is the son of Shri J K Murthy, Retd. D M Finance DKMU (KMF Nandini) and Shrimati. Seetha Lakshmi and a student of Shri Ganesh Mallya Sir.
This research is definitely a great initiative in Prime Minister Mr. Narendra Modi’s ambitious “SKILL INDIA PROGRAM”. Quantitative skills and problem solving skills is a crucial skill for candidates to be employable by most employers.
Multiplying any two integers in three simple steps:
Consider any two integers x and y with u1 and u2 being the numerals in their unit’s place respectively.
Example 1: 127 * 63
Step1: multiply the numerals in the units’ place.. Now write the numeral in the unit’s place of the result in the unit’s place of the answer. Carry the remainder to the next step.
7*3 is 21. Answer: 1
Step 2: Now ignore the numeral in the unit’s place and consider the new integers so formed which is 12 and 6. Now multiply these tow integers from the numeral in the units’ place of the other integer and add them together. Add the remainder from the previous step to this. Now place the numeral in the unit’s place of this result in the ten’s place of the answer. Carry the remainder to the next step.
i.e. (12*3) + (6*7) = 36+42 =78. 78+2 = 80 so place 0 in the tens’ place of the answer. Answer: 01.
Step 3: multiply the two newly formed digits i.e. 12*6 = 72. Now add the remainder from the previous step. 72+8 = 80
Answer: 8001.
Example 2: 348 *85
Step 1: 8*5 = 40. Write 0 in the unit’s place of the answer. Carry 4 to step 2. Answer: 0
Step 2: consider 34 and 8. (34*5) + (8*8) +4 = 170+64+4= 238. Now place 8 in the ten’s place of the answer and carry 23 to step 3. Answer: 80
Step 3: 34*8= 272. 272 +23 = 295
Answer: 29580.