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برنامج الرياضيات الذهنية

برنامج الرياضيات الذهنية. الرياضيات الذهنية. Square a Number. مربعات الأعداد. Example ( 1 ) :. ( 1 2 ) 2 =. - - -. 1 2 + 2 = 14. 2 x 2 = 4. ،. 1 4 4. Example ( 2 ) :. ( 1 3 ) 2 =. - - -. 1 3 + 3 = 16. ،. 3 x 3 = 9. 1 6 9. Example ( 3 ) :. - - -. ( 1 4 ) 2 =.

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برنامج الرياضيات الذهنية

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  1. برنامج الرياضيات الذهنية

  2. الرياضيات الذهنية

  3. Square a Number مربعات الأعداد Example ( 1 ) : ( 1 2 ) 2 = - - - 1 2 + 2 = 14 2 x 2 = 4 ، 1 4 4 Example ( 2 ) : ( 1 3 ) 2 = - - - 1 3 + 3 = 16 ، 3 x 3 = 9 1 6 9 Example ( 3 ) : - - - ( 1 4 ) 2 = 1 4 + 4 = 18 4 x 4 = 16 ، 1 9 6 Example ( 4 ) : - - - ( 1 5 ) 2 = 1 5 + 5 = 20 ، 5 x 5 = 25 2 2 5

  4. Example ( 1 ) : ( 35 ) 2 = - - - - 3 x 4 = 12 5 x 5 =25 ، 1225 Example ( 2 ) : ( 75 ) 2 = - - - - 7 x 8 = 56 ، 5 x 5 =25 5625 Example ( 3 ) : - - - - ( 125 ) 2 = 12 x 1 3 = 156 5 x 5 =25 ، 15625 Example ( 4 ) : - - - - ( 15 ) 2 = 1 x 2 = 2 ، 5 x 5 =25 225

  5. 49 28 4 5184 Example ( 1 ) : 1- square the first number 1 x 1 = 1 2- square 3 in the 13 3 x 3 = 9 169 1 3 x 1 3 = 3- know take 1x 3 = 3+3 (double)= 6 Example ( 2 ) : 1- square the first number 7 x 7 = 49 2 x 2 = 4 2- square 2 in the 72 7 2 x 7 2 = 3- know take 7x 2 = 14+14 (double)= 28 Example ( 3 ) : 36 1- square the first number 6 x 6 = 36 36 3 x 3 = 9 2- square 3 in the 63 9 6 3 x 6 3 = 3- know take 6x 3 = 18+18(double)= 36 3969 Example ( 4) : 25 1- square the first number 5 x 5 = 25 40 4 x 4 = 16 2- square 3 in the 54 5 4 x 5 4 = 16 3- know take 5x 4 = 20+20(double)= 40 2916

  6. Example ( 1 ) : ( 95 ) 2 = - - - - 95 - 5 = 90 5 x 5 =25 ، 9025 Example ( 2 ) : ( 96 ) 2 = - - - - 96 - 4 = 92 ، 4 x 4 =16 9216 Example ( 3 ) : - - - - ( 85 ) 2 = 85 - 15 = 70 15 x 15 =225 ، 7225 Example ( 4 ) : - - - - ( 88 ) 2 = 88 - 12 = 76 ، 12 x 12 =144 7744

  7. Example ( 1 ) : ( 32 ) 2 = - - - - ( 30 + 2 ) 2 = ( 30 )2 = 900 2 x 30 x 2 = 120 ( 2 )2 = 4 1024 Example ( 2 ) : - - - - ( 74 ) 2 = ( 70 + 4 ) 2 = ( 70 )2 = 4900 2 x 70 x 4 = 560 ( 4 )2 = 16 5476 Example ( 3 ) : - - - ( 5 1 ) 2 = ( 50 )2 = 2500 2 x 50 x 1 = 100 ( 1 )2 = 1 2601

  8. ( a 5 ) 2 = - - - a2 + a = - - - 5 x 5 = 25 ، --- 25 Example ( 1 ) : ( 35 ) 2 = - - - 32 + 3 = 12 ، 5 x 5 = 25 1225 Example ( 2 ) : - - - ( 45 ) 2 = 42 + 4 = 20 5 x 5 = 25 ، 2025 Example ( 3 ) : - - - ( 65 ) 2 = 62 + 6 = 42 ، 5 x 5 = 25 4225

  9. Smarter way to square any number between 30 - 70 Example ( 1 ) : ( 48 ) 2 = - - - 23 04 2 less than 50 25 – 2 = 23 2304 square 2 = 4 Example ( 2 ) : - - - ( 46 ) 2 = 21 16 4 less than 50 25 – 4 = 21 2116 square 4 = 16 Example ( 3 ) : 12 - - - ( 37) 2 = 169 13 less than 50 25 – 13 = 12 1369 square 13 = 169 Example ( 4 ) : 15 ( 40) 2 = - - - ، square 10 = 100 100 10 less than 50 1600 25 – 10 = 15

  10. Example ( 5 ) : ( 52 ) 2 = - - - 27 2 much more than 50 04 25 + 2 = 27 2704 square 2 = 4 Example ( 6 ) : - - - ( 57 ) 2 = 32 49 7 much more than 50 25 + 7 = 32 3249 square 7 = 49 Example ( 7 ) : 35 - - - ( 60 ) 2 = 100 10 much more than 50 25 + 10 = 35 3600 square 10 = 100 Example ( 8 ) : 40 ( 65 ) 2 = - - - ، square 15 = 225 225 15 much more than 50 4225 25 + 15 = 40

  11. Multiplying a number less than 100 by 99 Example ( 1 ) : 99 x 98 = - - - - 98 - 1 = 97 100 - 98 =02 ، 9702 Example ( 2 ) : - - - - 99 x 47 = 47 - 1 = 46 ، 100 - 47 =53 4653 Example ( 3 ) : - - - - 99 x 4 = 4 - 1 = 03 100 - 4 =96 ، 0396 Example ( 4 ) : - - - - 99 x 17 = 17 - 1 = 16 ، 100 - 17 =83 1683

  12. Multiplying a number less than 100 Example ( 1 ) : 98 x 97 = - - - - ، 2 x 3 = 6 97 – 2 = 95 - 2 - 3 9506 Example ( 2 ) : 93 x 92 = - - - - 93 – 8 = 85 ، 7 x 8 = 56 - 7 - 8 8556 Example ( 3 ) : 87 x 91 = - - - - 13 x 9 = 117 91 – 13 = 78 ، - 13 - 9 7917 Example ( 4 ) : 30 x 20 = - - - - 5600 30 – 80 = - 50 ، 70 x 80 = 5600 ، -50 - 70 - 80 600

  13. Multiplying a number between 11 to 19 Example ( 1 ) : Example ( 5 ) : + + 1 180 13 x 12 = 156 12 x 15 = 170 = x x Example ( 2 ) : Example ( 6 ) : + + 1 4 1 7 285 19 x 15 = 145 = 18 x 19 = 172 = 342 x x Example ( 3 ) : Example ( 7 ) : + + 11 x 11 = 121 12 x 12 = 144 x x Example ( 4 ) : Example ( 4 ) : + + 1 2 1 17 x 13 = 101 = 221 = 182 14 x 13 = 172 x x

  14. How to multiply any number by 11 Example ( 1 ) : 3563 x 11 = - - - - 3 Copy the first digit 3 8 11 3 + 5 = 8 9 5 + 6 = 11 3 6 + 3 = 9 At the end copy the last digit 3 39193 Example ( 2 ) : 4 4216 x 11 = - - - - 4 6 Copy the first digit 3 4 + 2 = 6 7 2 + 1 = 3 6 1 + 6 = 7 At the end copy the last digit 6 46376 Example ( 3 ) : 2 21432 x 11 = - - - - 3 Copy the first digit 2 5 2 + 1 = 3 7 1 + 4 = 5 5 4 + 3 = 7 2 3 + 2 = 5 235752 At the end copy the last digit 2

  15. How to multiply any number by 12 Example ( 1 ) : 1332 x 12 = - - - - 1 Copy the first digit 1 5 Double( 1 )+3=5 9 8 Double(3)+3=9 4 Double(3)+2=8 15984 Double the last digit ( 2 ) 4 Example ( 2 ) : 3 3563 x 12 = - - - - 11 Copy the first digit 3 16 Double( 3 )+5=11 15 6 Double(5)+6=16 Double(6)+3=15 42756 Double the last digit ( 3 ) 6 Example ( 3 ) : 4 4216 x 12 = - - - - 10 Copy the first digit 4 5 Double( 4 )+2=10 8 12 Double(2)+1=5 Double(1)+6=8 50592 Double the last digit ( 6 ) 12

  16. How to multiply any number by 13 Example ( 1 ) : 1332 x 13 = - - - - 1 Copy the first digit 1 6 Triple( 1 )+3=3 + 3 =6 12 11 Triple(3)+3= 9 + 3 =12 6 Triple(3)+2= 9 + 2 =11 17316 Triple the last digit ( 2 ) 6 Example ( 2 ) : 1 12231 x 13 = - - - - Copy the first digit 1 5 8 Triple( 1 )+2=3 + 2 =5 9 Triple(2)+2= 6 + 2 =8 10 3 Triple(2)+3= 6 + 3 =9 159003 Triple(3)+1= 9 + 1 =10 Triple the last digit ( 1 ) 3 Example ( 3 ) : 1 111 x 13 = - - - - 4 1 Copy the first digit 4 3 Triple( 1 )+1=3 + 1 =4 1443 Triple(1 )+1= 3 + 1 =4 Triple the last digit ( 1 ) 3

  17. Multiplying using base 10 Example ( 1 ) : 8 x 7 = - - 7 – 2 = 5 8 – 3 = 5 2 x 3 = 6 2 x 3 = 6 - 2 - 3 ، 5 6 5 6 Example ( 2 ) : 9 x 6 = - - 9 – 4 = 5 6 – 1 = 5 1 x 4 = 4 ، 1 x 4 = 4 - 1 - 4 5 4 5 4 Example ( 3 ) : - - 7 x 4 = 4 – 3 = 1 7 – 6 = 1 3 x 6 = 1 8 3 x 6 = 1 8 ، - 6 - 3 2 8 2 8 Example ( 4 ) : - - 2 – 7 = - 5 3 – 8 = - 5 2 x 3 = ، 56 56 8 x 7 = 8 x 7 = 6 - 8 -7 6

  18. How to multiply a number by 5 The trick is : = - - - divide by 2 Multiply by 10 Example ( 1 ) : = 24 x 5 2 12 12 x 10 = 120 24 ÷ = Example ( 2 ) : 36 x 5 = 36 ÷ 2 18 18 x 10 = 180 = Example ( 3 ) : 12 x 5 = 12 ÷ = 6 6 x 10 = 60 2 Example ( 4 ) : 15 = x 5 15 2 ÷ = 7.5 7.5 x 10 = 75 Example ( 5 ) : 18 x 5 = 18 ÷ 9 9 x 10 = 90 2 =

  19. Divide a number by 5 Example ( 1 ) : 24 ÷ 5 = 24 + 24 = 48 4 . 8 Example ( 2 ) : 36 ÷ 5 = 36 36 + = 72 7 . 2 Example ( 3 ) : 12 ÷ 5 = 12 + 12 = 24 2 . 4 Example ( 4 ) : 73 ÷ 5 = 14 . 6 73 + 73 = 146 Example ( 5 ) : = 67 ÷ 5 13 . 4 67 + 67 = 134

  20. Convert from Centigrade to Fahrenheit Example ( 1 ) : 22 ° C - - - ° F 22 + 22 = 44 44 + 30 = 74 22 ° C ° F 74 Example ( 2 ) : ° F 32 ° C - - - 32 + 32 = 64 64 + 30 = 94 32 ° C ° F 94 Example ( 3 ) : 19 ° C ° F - - - 19 + 19 = 38 38 + 30 = 68 19 ° C ° F 68

  21. تم بحمد الله

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