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Arthimatical calculation is an art. Art requires some skill. Using finger Techniques we can create interest in Mathematics and get rid of fear in mathematics. We can do all four fundamental operations with fingers and we can get results in seconds without paper and pen. We can make use of these techniques to teach mathematics to deaf and dumb, unfortunate fellow beings of ours.

Mathematical Tables with Fingers

Tables can be practiced with fingers of your two hands. Preliminary knowledge upto 5 x 5 tables are sufficient to practice these tables. One need not memorize the tables and one can calculate the tables in a fascinating manner. Tables can be divided into four types.

  1. Below ten tables. (6-10)
  2. Above ten tables. (11-15)
  3. Below twenties. (16-20)
  4. One digit is below ten and another digit is above ten
 
Below Ten Tables (6-10)
Name the little finger as 6 and ring finger as 7, middle finger as 8, fore finger as 9 and thumb as 10 of your two hands
 
Step 1: Join upto the fingers for which the multiplication of the numbers are required
Step 2: Take the involved finger as tens.
Step 3: Take the product of the remaining fingers on either side and take it as ones.
   
Example 1: For 9 x 9
Step 1: Join the fingers upto 9 and 9.
 
Step 2: Take the involved 8 fingers as tens
Step 3: Take the products of the remaining fingers 1 x 1 =1 as one. Hence 9 x 9 = 81
   
Example 2: For 7 x 8
Step 1: Join the fingers upto 7 and 8.
 
Step 2: Take the involved 5 fingers as tens.
Step 3: Take the products of the remaining fingers 3 x 2 = 6 as 0. Hence 7 x 8 = 56
 
Above Ten Tables (11-15)
Name the little finger as 11, ring finger as 12, middle finger as 13, forefinger as 14 and thumb as 15 of your two hands.
Step 1: Join the fingers upto, which the product is required.
 
Step 2: Take the product of the involved fingers as ones
Step 3: Take the sum of the involved fingers as tens.
Step 4: Take always 1 as the hundreds place
   
Example 1: For 12 x 13
Step 1: Join the fingers upto 12 and 13.
 
Step 2: Take the product of the involved fingers 2 x 3 = 6 as ones
Step 3: Take the sum of the involved fingers 2 + 3 = 5 as tens
Step 4: Take 1 as hundreds. Hence 12 x 13 = 156
   
Example 2: For 13 x 13
Step 1: Join the fingers upto 13 and 13.
 
Step 2: Take the product of the involved fingers 3 x 3 = 9 as ones.
Step 3: Take the sum of the involved fingers 3 + 3 = 6 as tens. Its value is 60.
Step 4: Take 1 as hundred. Its value is 100. Hence 13 x 13 = 100 + 60 + 9 = 169
   
Below Twenties Tables (16 – 20)
Name the little finger as 16, ring finger as 17, middle finger as 18. fore finger as 19 and thumb as 20 of your two hands.
Step 1: Join the fingers upto which the product is required.
 
Step 2: Take the product of the remaining fingers on either side and take it as ones
Step 3: Take the sum of the involved fingers as twenties.
Step 4: Take 2 as hundreds
   
Example 1: For 17 x 18
Step 1: Join the fingers upto 17 and 18.
 
Step 2: Take the product of the remaining fingers 3 x 2 = 6 as ones.
Step 3: Take the sum of the involved fingers 2 + 3 = 5 as twenties. Its value is 5 x 20 = 100
Step 4: Take 2 as hundreds. Hence 17 x 18 = 200 + 100 + 6 = 306
   
Example 2: For 19 x 19
Step 1: Join the fingers upto 19 and 19
 
Step 2: Take the product of the remaining fingers 1 x 1 = 1 as units.
Step 3: Take the sum of the involved fingers 4 + 4 = 8 as twenties. Its value is 8 x 20 = 160
Step 4 : Take 2 as hundreds. Hence 19 x 19 = 200 + 160 + 1 = 361