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Topics for this presentation are

Topics for this presentation are. 1. Astronomical multiplication 2. Cube root 3. Square root,etc. Done by L.Hariharan. Astronomical Multiplication. Aim : To multiply 9999999993 * 9999999994.

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Topics for this presentation are

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  1. Topics for this presentation are 1. Astronomical multiplication 2. Cube root 3. Square root,etc Done by L.Hariharan

  2. Astronomical Multiplication Aim: To multiply 9999999993 *9999999994 Don’t try it in your calculator it will give you only an approximate value. Let us do it now mentally. We will try to understand it with simple example 95 +5 { Nearest + or - to give 100,1000,etc} * 92 +8 87 40 { 92-5 = 87 or 95-8 = 87 } and 8*5=40 Answer is 8740

  3. ANSWER Answer Similarly answer for astronomical multiplication is 99999999870000000042 Now let us go to find cube roots

  4. Finding cube root requires some background Important

  5. cube root Examples: 9,261 1,728 32,768 175,616 Solution for 32,768 By seeing last digit we find last digit of cube root is equal to 2. (refer previous slide) By seeing 32 we put 3, as our first digit as 33 = 27 is less than 32 and 43 = 64 is more. Our answer is 32.

  6. Check ur Speed What is the square root of the number given below? 123456787654321 a) 1234569 b) 23456791 c) 11111111 d) 1267541 CAT 99 PROBLEM Note : Expected time to solve the problem is 5 to 10 seconds

  7. Answer First of all the pattern: Square of 1 = 1Square of 11 = 121Square of 111 = 12321Square of 1111 = 1234321Square of 11111 = 123454321Square of 111111 = 12345654321Square of 1111111 = 1234567654321And so on and so forth. Answer choice is c

  8. Magic Square Note:No.s are arranged in knight movement as in the chess game. The sum is 260.

  9. Thankyou Reply your comments to catchhariharan@rediffmail.com Visit my website www.geocities.com/rudranhari/ To Be Contined....

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