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Mathemagica

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Mathemagica

  1. 1. ™
  2. 2. 1. What is (24)2 ?We have three approaches to find the square of any number. 1. Multiplying 24 x 24 by the Traditional method. 2. Multiplying 24 x 24 by the Criss – Cross Method. 3. Using the formula, (a + b)2 = a2 + 2ab + b2We’ll use the 3rd approach, the Formula for calculating squares.(24)2Let, a = 20 and b = 4Now, according to the formula, (a + b)2 = a2 + 2ab + b2Therefore, (20 + 4)2 = 202 + 2(20)(4) + 42
  3. 3. (20 + 4)2 = 202 + 2(20)(4) + 42= 400 + 160 + 16= 560 + 16= 576Don’t you think, it was cumbersome and time – consuming!!!Yes, it is!!
  4. 4. Now, let’s try this approach the Mathemagica way, using the samFormula:(24)2Answer these simple questions and we’ll derive the square of 24.1. What is the Square of 4? Answer is 16. We write 6 as the last digit of the answer, and carry 1.2. What is 2(2)(4)? Answer is 16. We add 1 to the answer and make it 17. Now, we write 7 as the 2nd digit of our answer and carry 1.3. What is the square of 2? Answer is 4. We add 1(carried) to the answer and make it 5. We write 5 as the first digit of our answer.
  5. 5. The final answer is : 5 7 6Let’s try a few examples:1. (37)2 1. Square of 7 = 49 Answer We write 9 as the last digit and carry 4. __9 2. 2(3)(7) = 42 We add, 4(carried) to the answer. i.e. 46 We write 6 as the second digit and carry 4. _69 3. Square of 3 = 9 We add 4 (carried) to the answer and make it 13. We write 13 as the first digit of our answer. 13 6 9Final Answer : 13 6 9
  6. 6. Presentation prepared and designed by Rcreationss

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