1. Done By L.Hariharan Topics for this presentation are 1.Square 2.Division

2. Consider (23)( 4 5)( 7 1) Step 1: place 1 Step 2: 7 + 45 = 5 2=== place 2 Step 3: 5 + 23 = 28=== place 28 Answer = 2821

3. Hope you have understood with multiplication of numbers. Now I will go on to explain squaring of numbers For performing squares of numbers less than 20. Example: 18 2 = (18+8 ) / 8 2 = 26 / 6 4 Now add subscript 6 with 26, that is you get 32.Combine 32 and 4. Answer is 324

4. What will you do for numbers greater than 20? Don’t worry I will give you a shortcut. 61 2 = 60 2 + (60+61) = 3721 62 2 = 60 2 + 4*61 = 3844 Try for squares of 64, 66, 67 with 65 as your nearest number. Note: Squares ending with 5 was done in last presentation.

5. Are you afraid of number 13? From now on you need not have to worry on that. Let us check whether 1001 is divisible by 13. Procedure Step1: 1001 == 100 + (1*4). = 104 Step2: 104 == 10 + (4*4) = 26 Step3: 26 is divisible by 13. Therefore 1001 is divisible by 13

6. Relax yourself, now I am going to teach you division. Hope you are all confused with our ordinary division. Don’t worry we don’t need any more. Don’t get stunned. From now on you don’t need that black box, which you call it as a calculator Let us go To Division

7. 1/19 =.0 0 5 1 2 0 6 0 3 1 1 1 5 1 7 1 8 0 9 Step 1: 1/20 =.05, therefore we have found.0 should come Step 2: Add 0 to numerator start dividing 2. Therefore we get quotient as 5 and remainder as 0.(clue: if its 1/29 start dividing by 3) Step 3: Combine remainder(0) and quotient(5). That is we get 05. Step 4: Divide 05 by 2 again and find quotient and remainder as shown in figure. Repeat step 3. Hope you all found the answer. Note: Numbers ending with 3, 7 can be converted so that they end in 9. Hint:3*3=9, 7*7=49.

8. Hope you enjoyed this presentation. Write your comments to catchhariharan@rediffmail.com catchhariharan@rediffmail.com Visit my website www.geocities.com/rudranhari/