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- : . : . : . 75×75= 7+1 8×7 5625 =56 8 = 35×35= 3+1 4×3 1225 =4 =12 : ) ( . : . - : : : 54×54= (4) 2 25+4 2916 =16 =29 57×57= (7) 2 25+7 3249 =49 =32 = 52×52= (2) 2 25+2 2704 =04 =27 53×53= (3) 2 25+3 2809 =09 =28

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Page 1: ãÍÇÓÈÇÊ ÓÑíÚ ÑíÇÖí - dl.cafekonkur.irdl.cafekonkur.ir/jozve/riazy/fast-matttth.pdf · 111×121= 1 21+11 21×11 13431 =32 =231 32+2 31 ] =[: . ( ) ( ) ( ) ( ) ( ) .-:

-

:.

:.

: .

75×75= 7+1 8×7 5625 =56 8 =

35×35= 3+1 4×3 1225 =4 =12

:

)

(

.

:

.

-

:

:

:

54×54= (4)2 25+4 2916 =16 =29

57×57= (7)2 25+7 3249 =49 =32

=

52×52= (2)2 25+2 2704 =04 =27

53×53= (3)2 25+3 2809 =09 =28

Page 2: ãÍÇÓÈÇÊ ÓÑíÚ ÑíÇÖí - dl.cafekonkur.irdl.cafekonkur.ir/jozve/riazy/fast-matttth.pdf · 111×121= 1 21+11 21×11 13431 =32 =231 32+2 31 ] =[: . ( ) ( ) ( ) ( ) ( ) .-:

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.

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) ( =] [.

-

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:.

:.

:

.

: .

16×13= 16+3 190 6×3 190+18 =19 =18 =208

15×17= 15+7 220 5× 7 220+35 =22 =35 =255

: .

.

: .

.

.

-

:

:

:)(

.=

:

:

106× 104= 1 04+06 04×06 11024 =10 =24

107× 102= 1 07+02 07× 02 10914 =09 =14

Page 3: ãÍÇÓÈÇÊ ÓÑíÚ ÑíÇÖí - dl.cafekonkur.irdl.cafekonkur.ir/jozve/riazy/fast-matttth.pdf · 111×121= 1 21+11 21×11 13431 =32 =231 32+2 31 ] =[: . ( ) ( ) ( ) ( ) ( ) .-:

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111×121= 1 21+11 21×11 13431 =32 =231 32+2 31

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-

:

(21)2 - (20)2=21+20 .

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(41)2= (40)2 41+40 1600+81 1681 =1600 =81

(71)2= (70)2 71+70 4900+141 5041 =1400 =141

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. :

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-...

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30 ÷ 1.5= (30× 2) ÷ (1.5×2) 60÷3 20

Page 4: ãÍÇÓÈÇÊ ÓÑíÚ ÑíÇÖí - dl.cafekonkur.irdl.cafekonkur.ir/jozve/riazy/fast-matttth.pdf · 111×121= 1 21+11 21×11 13431 =32 =231 32+2 31 ] =[: . ( ) ( ) ( ) ( ) ( ) .-:

90÷4.5=

26÷6.5=

1.5×26=

4.5×12=

12×

12×

4.5=

6.5=

1.5×26=

4.5×12=

!

26= 26

105= 105

(90× 2) ÷

(26× 2) ÷

.

1.5×2

=3 =13

4.5×2

=9 =6

26= 26×10 =260 =

105= 105 ×10 =1050 =210

÷

(4.5× 2)

÷

(6.5× 2)

26÷2=3 =13

12÷2=9 =6

×10

=260 =

×10

=1050 =210

180

52

26÷2

=3 =13

12÷2

=9 =6

26×2

=260 =52

105×2

=1050 =210

.

180÷9

52÷13

3×13

9×6

=9 =6

260+52

1050

20

4

3×13

260+52

1050+ 210

39

54

312

1260

.

312

1260

-

-

Page 5: ãÍÇÓÈÇÊ ÓÑíÚ ÑíÇÖí - dl.cafekonkur.irdl.cafekonkur.ir/jozve/riazy/fast-matttth.pdf · 111×121= 1 21+11 21×11 13431 =32 =231 32+2 31 ] =[: . ( ) ( ) ( ) ( ) ( ) .-:

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.

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:)(

:

9× 15= 15× 10 150-15 135 =150

9× 68= 68× 10 680-68 612 =680

: )( :» !).) (( :»!

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: !!

!

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:

:)(

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14× 16= 16-14=2 (15)2 225-1 224 =225 =244

39× 41= 41-39=2 (40)2 1600-1 1599 =1600 =1599

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!

-

//

:

.:

7×101= 707 9×101= 909

Page 6: ãÍÇÓÈÇÊ ÓÑíÚ ÑíÇÖí - dl.cafekonkur.irdl.cafekonkur.ir/jozve/riazy/fast-matttth.pdf · 111×121= 1 21+11 21×11 13431 =32 =231 32+2 31 ] =[: . ( ) ( ) ( ) ( ) ( ) .-:

.:

59×101= 5959 32×101= 3232

× =

× =

159×1001= 159159 789×1001= 789789

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-

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:.

99×24= 24-1 100-24 2376 =23 =76

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:

18×1.5= 18÷2 9+18 27 =9 =27

.

Page 7: ãÍÇÓÈÇÊ ÓÑíÚ ÑíÇÖí - dl.cafekonkur.irdl.cafekonkur.ir/jozve/riazy/fast-matttth.pdf · 111×121= 1 21+11 21×11 13431 =32 =231 32+2 31 ] =[: . ( ) ( ) ( ) ( ) ( ) .-:

30×15= 30÷2 15+30 45× 10 450 =15 =45 =450

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!

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.

) (.

-

:

:

:

:

62×11= 6 2 6(6+2)2 6(8)2 682

:

68×11= 6 8 6(6+8)8 7(4)8 748 72×11= 7 2 7(7+2)2 7(9)2 792

76×11= 7 6 7(7+6)6 8(3)6 836 : .

: ) (.

-

:)(

:)(

:

106 ÷

5= 106×2 212÷10

21.2

56 ÷

5= 56×2 112÷10

11.2

Page 8: ãÍÇÓÈÇÊ ÓÑíÚ ÑíÇÖí - dl.cafekonkur.irdl.cafekonkur.ir/jozve/riazy/fast-matttth.pdf · 111×121= 1 21+11 21×11 13431 =32 =231 32+2 31 ] =[: . ( ) ( ) ( ) ( ) ( ) .-:

61 ÷

5= 61×2 122÷10

12.2

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.

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84×5= 84÷2

42×10 420

53×5= 53÷2 26.5×10 265

42×5= 42÷2

21×10 210 : : .

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34×14= 34-14=20 (24)2 576-100 476 =576 =476

36×56= 56-36 =20 (46)2 2116-100 2016 =2116 =2016

.

...

.

(46)2 - (45)2= 46+45 (25)2 - (24)2= 25+ 24

Page 9: ãÍÇÓÈÇÊ ÓÑíÚ ÑíÇÖí - dl.cafekonkur.irdl.cafekonkur.ir/jozve/riazy/fast-matttth.pdf · 111×121= 1 21+11 21×11 13431 =32 =231 32+2 31 ] =[: . ( ) ( ) ( ) ( ) ( ) .-:

(46)2 = (45)2+46+45 (24)2= (25)2 -25-24 :

!

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36×26= 36-26=10 (31)2 961-25 936 =961 =936

22×12= 22-12=10 (17)2 289-25 264 =289 =264

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22×18= 22-18=4 (20)2 400-4 396 =400 =396

42×38= 42-38=4 (40)2 1600-4 1596 =1600 =1596

67×63= 63-67=4 (65)2 4225-4 4221 =4225 =4221

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