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Learn English solutions from Ajtlearning.com

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Learn English solutions from Ajtlearning.com

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  1. Learn Mathematics TRICKS From AJT Learning.com www.ajtlearning.com

  2. Today we will learn some cool math tricks. So that, we can use more our brain and less our calculator. www.ajtlearning.com 1

  3. Square a two digit number ending in 5 For example: 152, 452, 852 www.ajtlearning.com 2

  4. Square a two digit number ending in 5 Lets consider the number 35. 1. We take the first digit and multiply it with it’s next number. 3 5 3 * 4 = 12 2. Then simply put 25 after it. 1 2 2 5 So, 352 = 1225 www.ajtlearning.com 3

  5. Square a two digit number ending in 5 Here is another example: Step-1: 9 5 9 * 10 = 90 Setp-2: 9 0 2 5 So, 952= 9025 www.ajtlearning.com 4

  6. Multiply any number by 4 Simply double the number two times. www.ajtlearning.com 5

  7. Multiply any number by 4 Take the number 63 63*4 = 63*(2*2) = (63*2)*2 = 126*2 = 252 Lets try another number 753 double of 753 = 1506 double of 1506 = 3012 So, 753 * 4 = 3012 www.ajtlearning.com 6

  8. Multiply any number by 5 Simply half the number & multiply it by 10. www.ajtlearning.com 7

  9. Multiply any number by 5 Take the number 86 86*5 = 86*(10/2) = (86/2)*10 = 43*10 = 430 Lets try another number 495 half of 495 = 247.5 247.5 * 10 = 2475 So, 495 * 4 = 2475 www.ajtlearning.com 8

  10. Multiply any number by 15 Multiplication by 10 + Multiplication by 5. www.ajtlearning.com 9

  11. Multiply any number by 15 Take the number 84 84*10 = 840 84*5 = (84/2)*10 = 42*10 = 420 84*15 = 840 + 420 = 1260 Lets try another number 495 495*15 = 495*10 + 495*5 = 4950 + (495/2) * 10 = 4950 + 2475 = 7425 www.ajtlearning.com 10

  12. Multiply any number by 11 x y z xyz * 11 = x x + y y + z z www.ajtlearning.com 11

  13. Multiply any number by 11 Take the number 263 2 6 3 263 * 11 = 2 8 9 3 Lets try another number 485 4 8 5 263 * 11 = 5 3 3 5 1 1 www.ajtlearning.com 12

  14. Multiply two numbers between 10 and 20 For example: 15*17, 19*13 www.ajtlearning.com 13

  15. Multiply two numbers between 10 and 20 Lets consider the number 12*14. 1. Add the first number with the other number’s second digit. 1 2 + 1 4 1 6 2. Place a 0(zero) after it. 1 6 1 6 0 www.ajtlearning.com 14

  16. Multiply two numbers between 10 and 20 3. Multiply the second digits of the two numbers. 1 4 * 1 2 8 4. Add this number with the step-2 result. 1 6 0 + 1 6 8 8 So, 12*14 = 168 www.ajtlearning.com 15

  17. Multiply two numbers between 10 and 20 Here is another example: 17*13 Step-1: 17 + 3 = 20 Setp-2: 20 200 Step-3: 7 * 3 = 21 Step-4: 200 + 21 = 221 So, 17*13 = 221 www.ajtlearning.com 16

  18. Divisibility Check For example: is 7403 is divisible by 11 ? www.ajtlearning.com 17

  19. Divisibility Check (for 2, 3) A number is divisible by 2 if its last digit is 0, 2, 4, 6 or 8. For example: 12, 5394, 993120. A number is divisible by 3 if sum of its digits is divisible by 3. For example: 72 is divisible by 3 as 7+2=9 which is divisible by 3. Another example: 57381, 5+7+3+8+1=24; 24 is divisible by 3. So 57381 is also divisible by 3. www.ajtlearning.com 18

  20. Divisibility Check (for 5, 7) A number is divisible by 5 if its last digit is 0 or 5. For example: 100, 3795, 698170. For 7, separate & double the last digit of the number. Then subtract it from the rest. Take: 91. 91 9 1 9 - (1*2) 7 Now, if the number is 0 or divisible by 7, then the original number is also divisible by 7. www.ajtlearning.com 19

  21. Divisibility Check (for 7) If the number is big then continue the process as many time as needed. Lets take 3752. 3752 375 – 2*2 371 37 – 1*2 35 Now, 35 is divisibleby 7. So, 3752 is also divisibleby 7. Youmayhavegoneevenfurther, 35 3-5*2 -7 ; whichisalsodivisibleby7. www.ajtlearning.com 20

  22. Divisibility Check (for 11) For 11, add and subtract digits in an alternative pattern (like- 1stdigit - 2nddigit + 3rddigit …). Take:8525 8-5+2-5=0 So,itisdivisibleby11. Take:392755 3-9+2-7+5-5=-11 Alsodivisibleby11 www.ajtlearning.com 21

  23. Divisibility Check (for 13) For 13, add 4 times of the last digit to the rest of the number. Take: 351 351 35+1*4 39 Itisdivisibleby13. Letstryanother:754 754 75+4*4 75+16 91 9+1*4 13 So, you know. www.ajtlearning.com 22

  24. So we have leant a lot of math tricks today. Practice to make them perfect for you. www.ajtlearning.com 23

  25. There is one math trick only for YOU! www.ajtlearning.com 24

  26. Lets see if you can do it right! www.ajtlearning.com 25

  27. Add these numbers one after another- 1000 20 www.ajtlearning.com 26

  28. Add these numbers one after another- 1000 20 1000 30 www.ajtlearning.com 26

  29. Add these numbers one after another- 1000 20 1000 30 1000 40 www.ajtlearning.com 26

  30. Add these numbers one after another- 1000 20 1000 30 1000 40 1000 10 26

  31. Add these numbers one after another- 1000 20 1000 30 1000 40 1000 10 5000 ??? www.ajtlearning.com 26

  32. Add these numbers one after another- 1000 20 1000 30 If your answer is 5000, then you are among the most who mistook. The actual answer is 4100. Count again and see if you get it right this time. 1000 40 1000 10 5000 ??? www.ajtlearning.com 26

  33. www.ajtlearning.com

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