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Interesting Facts about Maths

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Interesting Facts about Maths

  1. 1. MAGICAL FACTS ABOUT MATH PRESENTED BY: NEHA SHARMA TAFADZWA GONERA
  2. 2. ARMSTRONG NUMBER 153 is an Armstrong number because 153=1³+5³+3³ Some other Armstrong numbers are: 370,371,407
  3. 3. STRANGE FACTS ABOUT 666 666=6³+6³+6³+6+6+6 666=2²+3²+5²+7²+11²+13²+17²
  4. 4. VAMPIRE NUMBERS 1260 is a vampire number With 21 and 60 as fangs Since 21 × 60 = 1260. Others are: 1395=15 × 93 1435=41 × 35 1530=51 × 30
  5. 5. Numeric Palindrome with 1s 1x1=1 11 x 11 = 121 111 x 111 = 12321 1111 x 1111 = 1234321 11111 x 11111 = 123454321 111111 x 111111 = 12345654321 1111111 x 1111111 = 1234567654321 11111111 x 11111111 = 123456787654321111111111 x 111111111 = 12345678987654321
  6. 6. Sequential Inputs of 9 9 x 9 = 81 99 x 99 = 9801 999 x 999 = 998001 9999 x 9999 = 99980001 99999 x 99999 = 9999800001 999999 x 999999 = 999998000001 9999999 x 9999999 = 99999980000001 99999999 x 99999999 = 9999999800000001999999999 x 999999999 = 999999998000000001
  7. 7. Number 25192519 Mod 2 = 12519 Mod 3 = 22519 Mod 4 = 32519 Mod 5 = 42519 Mod 6 = 52519 Mod 7 = 62519 Mod 8 = 72519 Mod 9 = 82519 Mod 10 = 9
  8. 8. Trick Step1: Think of a number below 10. Step2: Double the number you have thought. Step3: Add 6 with the getting result. Step4: Half the answer, that is divide it by 2. Step5: Take away the number you have thought from the answer, that is, subtract the answer from the number you have thought.
  9. 9. ANSWER IS 3 FOR THE TRICK
  10. 10. RULE 11 To multiply any two digit number by 11: For this example we will use 54. Separate the two digits in you mind (5__4). Notice the hole between them! Add the 5 and the 4 together (5+4=9) Put the resulting 9 in the hole 594. Thats it! 11 x 54=594
  11. 11. RULE 11 If the result of the addition is greater than 9 You only put the "ones" digit in the hole and carry the "tens" digit from the addition. For example 11 x 57 ... 5__7 ... 5+7=12 ... put the 2 in the hole and add the 1 from the 12 to the 5 in to get 6 for a result of 627 ... 11 x 57 = 627
  12. 12. MAGIC OF NUMBER 9
  13. 13. MAGIC OF NUMBER 9
  14. 14. MAGIC OF NUMBER 9
  15. 15. SNAKE EATS ITS OWN TAIL• Choose any two digits number and for eachone reverse the digits and subtract thesmaller number from the larger.• In each case the difference is divisible by 9and the sum of the digits of the difference isalways 9.
  16. 16. Age Calculation Tricks: Step1: Multiply the first number of the age by 5. Step2: Add 3 to the result. Step3: Double the answer. Step4: Add the second digit of the number with the result. Step5: Subtract 6 from it.
  17. 17. TO FIND THE REMAINDER
  18. 18. PUZZLE You are at a fountain and have with you a three gallon jug and a five gallon jug. The jugs have no markings on the sides. How would you be able to measure out exactly one gallon of water?
  19. 19. SOLUTION First, fill up the 3 gallon jug to the top, and pour it into the 5 gallon jug. 5 - 3 = 2 free gallons left in the 5 gallon jug. Now, fill up the 3 gallon jug again, and pour as much as you can into the 5 gallon jug. 3 - 2 = 1 gallon of water left in the 3 gallon jug. Finally, pour the remaining gallon of water from the 3 gallon jug into your 1 gallon jug. Result = 1 gallon of water!
  20. 20. EASY SQUARING If you want to find the square of 45. You will first have to multiply 4 (4 +1), that is 4 X 5, which is equal to 20 Then multiply 5 with 5, which is 25. The answer is 2025. Now, you can employ this method to multiply all numbers ending with 5.
  21. 21. Bridge Crossing Puzzle: A, B, C and D wants to cross the bridge at night. They have only one torch light with them. Only two can cross the bridge at a time. They need torch light to cross the bridge. Each of them walks at a different speed. A needs 1 minute, B needs 2 minutes, C needs 5 minutes and D needs 10 minutes. A pair must walk together at the rate of the slower person. How these people can cross the bridge within 17 minutes?
  22. 22. Solution: First A and B walks across the bridge, it takes 2 minutes. A walks back with the torch light, which takes 1 minute. Then C and D walk on the bridge, which takes 10 minutes. B comes back with the torch light, it takes 2 minutes. Finally A and B walks across the bridge, which takes 2 minutes. Total = 2 + 1 + 10 + 2 + 2 = 17 minutes.
  23. 23. FINGER MATH FOR 9 TABLE
  24. 24. ANY QUESTION Visit WWW.GOOGLE.COM Otherwise you can ask us!!

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