برنامج الرياضيات الذهنية
DESCRIPTION
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 =. - PowerPoint PPT PresentationTRANSCRIPT
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
Square a Number مربعات األعداد
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=
- - - -1 2 x 1 3 = 156 ، 5 x 5 = 25
15625
Example ( 4 ):
)15 ( 2=
- - - -1 x 2 = 2 ، 5 x 5 = 25
225
Example ( 1 ):
1 3 x 1 3=
1 -square the first number 1 x 1 = 1
2 -square 3 in the 13 3 x 3 = 9
3 -know take 1x 3 = 3+3 (double)= 61 6 9
Example ( 2 ):
7 2 x 7 2=
1 -square the first number 7 x 7 = 492 -square 2 in the 72 2 x 2 = 4
3 -know take 7x 2 = 14+14 (double)= 28
4928
4
5184
Example ( 3 ):
6 3 x 6 3=
1 -square the first number 6 x 6 = 362 -square 3 in the 63 3 x 3 = 9
3 -know take 6x 3 = 18+18(double)= 36
3636
9
3969
Example ( 4):
5 4 x 5 4=
1 -square the first number 5 x 5 = 252 -square 3 in the 54 4 x 4 = 16
3 -know take 5x 4 = 20+20(double)= 40
2540
16
2916
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
Example ( 1 ):
)32 ( 2=
- - - - )30 + 2 ( 2 =
Example ( 2 ):
Example ( 3 ): )5 1 ( 2=
- - -
)30( 2 = 9002 x 30 x 2 = 120 )2( 2 = 4
1024
)74 ( 2=
- - - - )70 + 4 ( 2 =
)70( 2 = 4900
2 x 70 x 4 = 560 )4( 2 = 16
5476
)50( 2 = 25002 x 50 x 1 = 100 )1( 2 = 1
2601
)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
Example ( 1 ):
)48 ( 2=
- - -
Example ( 2 ):
Example ( 3 ):
Example ( 4 ):
Smarter way to square any number between 30 - 70
2 less than 5025 – 2 = 23
square 2 = 4
2304
2304
)46 ( 2= 4 less than 50
25 – 4 = 21square 4 = 16
2116
2116
)37 (2=
- - -
- - -13 less than 50
25 – 13 = 12square 13 = 169
12169
1369
)40 (2=
- - -10 less than 50
25 – 10 = 15
square 10 = 100،15
100
1600
Example ( 5 ):
)52 ( 2=
- - -
Example ( 6 ):
Example ( 7 ):
Example ( 8 ):
2 much more than 5025 + 2 = 27
square 2 = 4
2704
2704
)57 ( 2= 7 much more than 50
25 + 7 = 32square 7 = 49
3249
3249
)60 ( 2=
- - -
- - -10 much more than 50
25 + 10 = 35square 10 = 100
35100
3600
)65 ( 2=
- - -15 much more than 50
25 + 15 = 40
square 15 = 225، 40225
4225
Multiplying a number less than 100 by 99
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
Example ( 1 ):
Multiplying a number less than 100
Example ( 2 ):
،
Example ( 3 ):
،
Example ( 4 ):
،
Example ( 1 ):
-2 -3 97 – 2 = 95 ، 2 x 3 = 6
9506
93 x 92 - - - - =
98 x 97- - - - =
-7 -8 93 – 8 = 85 7 x 8 = 56
8556
87 x 91 - - - - =
-13 -991 – 13 = 78 13 x 9 = 117
7917
30 x 20 - - - - =
-70 -8030 – 80 = -50 70 x 80 = 5600 5600
-50
600
،
Multiplying a number between 11 to 19
Example ( 2 ):
Example ( 3 ):
Example ( 4 ):
Example ( 1 ):
13 x 12 = 156+
x
19 x 15 = 145+
x
1 4= 285
11 x 11 = 121+
x
17 x 13 = 101+
x
1 2= 221
Example ( 5 ):
12 x 15 = 170+
x
1= 180
Example ( 6 ):
18 x 19 = 172+
x
1 7= 342
Example ( 7 ):
12 x 12 = 144+
x
Example ( 4 ):
14 x 13 = 172+
x
1= 182
Example ( 1 ):
3563 x 11- - - - =
Example ( 2 ):
Example ( 3 ):
How to multiply any number by 11
Copy the first digit 33 + 5 = 8
5 + 6 = 116 + 3 = 9
At the end copy the last digit 3
3811
93
39193
4216 x 11- - - - = Copy the first digit 4
4 + 2 = 62 + 1 = 31 + 6 = 7
At the end copy the last digit 6
46
37
6
46376
21432 x 11- - - - = Copy the first digit 2
2 + 1 = 31 + 4 = 54 + 3 = 73 + 2 = 5
At the end copy the last digit 2
23
57
52
235752
Example ( 1 ): 1332 x 12- - - - =
Example ( 2 ):
Example ( 3 ):
How to multiply any number by 12
Copy the first digit 1Double ( 1 ) + 3 = 5
Double the last digit ( 2 ) 4
Double ( 3 ) + 3 = 9 Double ( 3 ) + 2 = 8
15
98
4
15984
3563 x 12- - - - = Copy the first digit 3
Double ( 3 ) + 5 = 11 Double ( 5 ) + 6 = 16Double ( 6 ) + 3 = 15Double the last digit ( 3 ) 6
4216 x 12- - - - = Copy the first digit 4
Double ( 4 ) + 2 = 10 Double ( 2 ) + 1 = 5Double ( 1 ) + 6 = 8Double the last digit ( 6 ) 12
311
1615
6
42756
410
5812
50592
Example ( 1 ): 1332 x 13- - - - =
Example ( 2 ):
Example ( 3 ):
How to multiply any number by 13
Copy the first digit 1Triple ( 1 ) + 3 = 3 + 3 = 6
Triple the last digit ( 2 ) 6
Triple ( 3 ) + 3 = 9 + 3 = 12Triple ( 3 ) + 2 = 9 + 2 = 11
1612
116
17316
12231 x 13- - - - = Copy the first digit 1
3
Triple ( 1 ) + 2 = 3 + 2 = 5 Triple ( 2 ) + 2 = 6 + 2 = 8Triple ( 2 ) + 3 = 6 + 3 = 9Triple ( 3 ) + 1 = 9 + 1 = 10
Triple the last digit ( 1 )
15
8910
3
159003
111 x 13- - - - = Copy the first digit 1
Triple ( 1 ) + 1 = 3 + 1 = 4Triple ( 1 ) + 1 = 3 + 1 = 4
Triple the last digit ( 1 ) 3
14
43
1443
Multiplying using base 10
8 x 7=
- -
،
Example ( 2 ):
،
Example ( 3 ):
Example ( 4 ):
Example ( 1 ):
-2 -3
7 – 2 = 5 2 x 3 = 6
5 6
8 – 3 = 5 2 x 3 = 6
5 6
9 x 6=
- - 9 – 4 = 5
-1 -41 x 4 = 4
5 4
6 – 1 = 5 1 x 4 = 4
5 4
7 x 4=
- -
-3 -6
4 – 3 = 1 3 x 6 = 1 8
2 8
7 – 6 = 1 3 x 6 = 1 8
2 8
2 x 3=
- -
،
-8 -7
2 – 7 - = 58 x 7= 56
6
،3 – 8= -58 x 7= 56
6
Example ( 1 ):
Example ( 2 ):
Example ( 3 ):
How to multiply a number by 5
36 x 5 =
x 5 =
Example ( 4 ):
x 5 =
The trick is: divide by 2 Multiply by 10 = - - -
24 x 5 =
24 ÷
÷
÷
÷
÷
2 =
=
=
=
=
12 12 x 10 = 120
36 2 18 18 x 10 = 180
12
12 2 6 6 x 10 = 60
1515 2 7.5 7.5 x 10 = 75
Example ( 5 ): 18 x 5
18 2 = 9 9 x 10 = 90
Example ( 1 ):
Example ( 2 ):
Example ( 3 ):
Example ( 4 ):
Divide a number by 5
24 ÷ 5 =
24 + 24 = 48 4 . 8
36 ÷ 5 =36 + 36 = 72 7 . 2
12 ÷ 5 =12 + 12 = 24 2 . 4
73 ÷ 5 =73 + 73 = 146 14 . 6
Example ( 5 ):
67 ÷ 5 =67 + 67 = 134 13 . 4
Convert from Centigrade to Fahrenheit
Example ( 2 ):
Example ( 3 ):
Example ( 1 ):
22 ° C °F - - -
22 + 22 = 44
44 + 30 = 74
22 ° C °F74
32 ° C °F- - -
32 + 32 = 64
64 + 30 = 94
32 ° C 94 °F
19 ° C - - - °F19 + 19 = 38
38 + 30 = 68
19 ° C °F68