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فيما سبق ؟. درست إجراء العمليات على العبارات الأسية. والأن. فكرة الدرس. أضرب وحيدات الحد ـ أبسط عبارات تتضمن وحيدات الحد. المفردات. وحيدة الحد ـ ثابت. لماذا ؟. تحتوي كثير من الصيغ على وحيدات حد، فمثلا صيغة قوة محرك السيارة بالأحصنة هي. حيث تمثل: ق قوة المحرك بالحصان، ك كتلة السيارة

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6346582


6346582


6346582


6346582


6346582


6346582

  • :

  • .

  • .


6346582

  • : . .


6346582

: . .


6346582

  • "" "" :.

  • ) 10 .

  • ) + .


6346582

  • = +

  • 3 5 = 3+5 = 8


6346582

  • :

  • ) ( 63) (27)

  • ( ) ( ) = ( ) ( 3 )

  • = ( ) ( + ) = 1210


6346582

  • ( ) = .

  • ( ) = =


6346582

  • : [ (2 3 )2 ]4

  • [ (2 3 )2 ]4 = (32 2 )4

  • ( ) = 62 4

  • = = 16777216


6346582

  • : .

  • = 2

  • = ( )

  • = ( )

  • = 4

  • .


6346582

  • :

  • .

  • .

  • .


6346582

  • : : ( 3 4)2 [ (-2)2 ]2


6346582


6346582

: "" "" :.


6346582

  • :

  • = (29) (2+4) = 186

  • = 4+2 = 6

  • = 1+3= 4


6346582

  • 646 = 624

  • = 83

  • = 35 8 4

  • 168182

  • = 812024

  • = -8696


6346582

  • : = .

  • 1 .

  • 2- = =

= 62

) = 6 (2 )2 = 642

= 6(43) (4)2

= 6(81) (16) = 7776


6346582

  • : :

= (-3)8 16+2

= 656116122

= 2008 124


6346582

=-21952 15128

= -1873-1


6346582

: "" "" :.


6346582

  • :

  • 6(6+4) (9+2)

  • 61011

  • 2(2+4) = 26


6346582

  • = -425 4 4

  • = (42)2= 82


6346582

  • = 20 28

  • = 64612


6346582

  • 1 /2(3 ) (825)

  • = 33 6

  • 1 /2(53) (824)

  • = 20 5 5


6346582

  • 1621

  • 9 16

  • 320001016

  • 5122718

  • 2942719

  • 8008124

  • 0.256

  • 836

  • 288312630


6346582

=(43)(22)

= 169

2(32)(53)= 157


6346582

) = 2= 3 (30610)2 = 270 1410

) = 6(3710)2 = 54 1410


6346582

  • : .

2 4

(2)3

(3)2


6346582

. .

5 2


6346582


6346582


6346582


6346582

: 610 510. :

.


6346582

  • : .


6346582

  • .

  • 0 :


6346582

.

:

  • = ( 3-1) ( 5-2)

  • = 2 3


6346582

  • :


6346582

  • .


6346582

:


6346582

  • .

  • = .


6346582

: . :

:


6346582

  • . .


6346582

  • .

:

  • : .


6346582

  • : .

  • 010 . . 10-3.


6346582


6346582

  • : . .

= 2125310 .


6346582

  • . :

  • 33

  • 3

  • 3 3

  • 2 5

  • 4


6346582

  • 2 2

  • 1


6346582

: . .


6346582

  • . :


6346582

  • : 8 . ( ) .


6346582


6346582


6346582

: . :

= - + +


6346582

  • : . - + + . .


6346582

  • : . . . .


6346582

: :


6346582

  • : . . . . . : : : :


6346582

  • :

  • - - :

  • 1: .

  • = - = + =

  • -

  • 2: .


6346582

  • : . . .


6346582

: 5 -9-24 -63 :

  • 1: .

  • 2: : - + - -2.


6346582

: = - +

  • .

  • = =

  • = - +

  • = ( ) - ( ) + 10

  • = ( ) - +

  • = - + =


6346582

: : :


6346582

:


6346582

: :

  • = 43 -52 +2 -1

  • = 4

  • = -54-22-54

  • = -5

  • = -3+3-32+1

  • = -1


6346582

  • 4550

  • 7650


6346582


6346582


6346582

  • 52+3-2

  • =5

  • = -52-3+4

  • =-5

  • = 73+8

  • =7


6346582

  • = -44-2+1

  • =-4

  • =-6-92+10

  • =-1

  • =-3


6346582

  • ) = 3 = = -5(3)2 + 50(3) +1

  • = -59+150+1= -45+150+1=106

  • ) = 5 = = -5(5)2 + 50(5) +1

  • = -125 + 250 +1 = 126


6346582

  • ) = 1/ 3 21 + 22

  • ) = 18 + 18 = 36 3


6346582

6-4


6346582


6346582

: ( ) ( ) : = + + = + + .

+


6346582

: : .


6346582

:

( + - ) + ( - + )

:

  • ( + - ) + ( - + )

  • =[ + (- ) ] + [ + ] + [ - + ]

  • = - + -


6346582

  • 22 + 5 -7

  • + -42 + + + 3

  • -----------------

  • - + - 4

  • : = + 215


6346582

  • ( + - ) - ( + - )

:


6346582

: = + = + . () .

:

  • = +

  • = + + +

  • = + .

  • : = + 215


6346582

  • :

  • -2 2

  • 43 + 5

  • -82-32-2+13

  • -132 + 11

  • 92 -5

  • -22 +6-20


6346582

  • 22 +28

  • 22(18) +28 = 424

  • 22(21) + 28 = 490


6346582

  • 32 2 3 + 3

  • 42 + 3 + 3

  • -2 -5 +1

  • 22 + -11

  • -2 32 + 4

  • 2 -22 + 9

  • - 2+ 6 - 10

  • 32 -2 +7 2

  • 73 72 -6


6346582

  • = -1.42 2 + 2128 + 1500 + 75

  • = -1.42 2 + 22.3 + 1500

  • 750 = -1.42 (750)2 + 2203 (750) + 1500

  • = 155000


6346582

  • = (32-7+2) (2--4+22-10+6)

  • = (32-7+2) (32 -11 +2)

  • = 32 -7 +2 -32 + 11-2

  • = 4


6346582


6346582


6346582

  • : . . ( + )


6346582

:

.


6346582

-32 (72 +4 )

- ( - + )

= - ( ) - (- )() + (- )( )

= - - (- ) + (- )

= - + - 2


6346582

(- + ) - ( + )

(- + ) - ( + )

= ( ) (- ) + ( )( ) + (- ) ( ) + (- )( )

= - + - -

= - + ( - ) -

= - 100


6346582

: ( - ) + ( + ) + = ( + ) + ( - ) + .

( - ) + ( + ) + = ( + ) + ( - ) +

- + + + = + + - +

+ + = - +

+ = - +

+ =

=

=


6346582

: :

  • = 185+244+163-62

  • = -153 + 102 20

  • 1453 + 262 -42

  • = -667+18106+1543


6346582

  • 43 +152 -8+4

  • = 33 +18 -6

  • -542 43 + 822 + 4


6346582

  • = 105-304 + 43 + 42

  • = 3 -122 +

  • 853 445 + 83

  • = 423 + 1033 -3022


6346582

  • = -83 + 202 + 4 -12

  • = -132 9 - 27

  • = -93 + 212 +12

  • 203 41 + 35

  • 1242 + 12 22 + 202 - 8 3 + 122


6346582

  • = 3/ 5 2 5

  • = 2160 300 = 1860


6346582

  • = 2

  • = 0


6346582

  • = 65 + 334 + 923

  • = 20 4 + 633 -8 2

  • = -23 + 543 + 344


6346582

  • = (1.5 + 24) = 1.52+24

  • = 2.5 (+6 ) (1.5 +24)

  • = 2.52 + 15 1.5 2 -24

  • = 2 24 + 15


6346582

  • 32 + 6

  • +2

  • 3

  • 4 + 4

  • 3+4

  • 4 +52

  • 2+5

  • 3

  • = ( + )


6346582


6346582


6346582

. . ( + ) .


6346582

:

+ 1/ 2 + . .


6346582

:

( + ) (+ )

:


6346582

  • .


6346582

  • :

  • ( - )( + )

:

  • = ( )( ) + ( )( ) + (- )( ) + (- )( )

  • = + -

  • = - -


6346582

  • : . . .

  • .


6346582

  • : . . .

:

  • .


6346582

  • .

  • . + + .


6346582

  • =

  • = (+ ) ( + )

  • = ( )+ ( )+ ( ) ( )+ ( ) ( )

  • = + + +

  • = + + .


6346582

  • + +


6346582

  • ( + ) ( + ) + + .

  • .


6346582

  • :

  • ( + ) ( - - )

:

  • ( + ) ( - - )

  • = ( - - ) + ( - - )

  • = - - + -

  • - - -


6346582

  • : :

2 -4 -21

2 + 2 -8

2 + 7 +10

=10+ 33 -54

=162 26+3

= 42 +39 +27


6346582

42 + 180 + 2000

164 + 283 42 -21-6

54 -173 + 92 +31 -20


6346582

62 +19 +15

242 -62 +35

152 -17+4

402 -68 + 242

252 -49

1442 -25

= ( 2 + 8) ( 2 + 6)

= 42 + 28 + 48


6346582

=363 +712 14 -49

= 23-172+37-22

=54+193-342+11-1

23 + 5 -4


6346582

= 242 3 /2

= (42+12+9) - ( 32 +5+2)


6346582

= 562 26 -10

= 224 62 = 162

32 + 7 /2 3/ 2

> 4

>

= 2 -4 +4- 2 +4 = 4


6346582

2 +10 +25

92+6+1

( + )2 = 2 + 2 + 2

2 + 2 +

2 + 2 + 2


6346582


6346582

: .

: +


6346582

  • : ( + ) = + . + .

  • . = ( + )


6346582

  • : ( + ) . . (+ ) = (+ ) (+ ) .


6346582

: ( + )

:

  • ( + ) = + +

  • ( + ) = ( ) + ( )( ) +

  • = + +


6346582

- + (- ) .

( - ) = [ + (-) ] = + ()(-) + (- )

= - +


6346582

: ( - ) .

:

  • ( - ) = - +

  • ( - ) = ( ) - ( )( ) + ( )

  • = - + 2


6346582

  • : . .


6346582

: . .

:

  • - .

  • =

  • = ( - )

  • = [ - ( )() + ]

  • = ( - + )


6346582

  • (+ ) (- ). - + (- ).


6346582

  • .

  • ( + )( - ) = - + - = - .


6346582

: ( + )( - ).

:

  • ( + )( - ) = -

  • ( + )( - ) = ( ) - ( )

  • = -


6346582

:

( + )2

2 + 10 + 25


6346582

( - )2

121 22 + 2


6346582

( 2 + 7)2

42 + 28 + 46 2


6346582

(3 -4) (3 -4)

(3 -4) 2 = 92 24 + 16


6346582

( - 4) ( - 4 )

= - 4 )2 = 2 8 + 162


6346582

2

= ( + 3)2 = (2 + 6 + 9)

= (24 /2)2 = 144 2


6346582

2 - 25

362 - 49

2 - 9


6346582

2 + 14 +49

2 -12 + 36

2 + 20 + 100

81-36 +42

64-16 +2

2 + 12 +36

642 64 + 162

25 -20 + 4

42 + 12 +9


6346582

( +3)2

(2 +6 + 9) 2

=

= (12)2 ( 2 + 6 + 9)

= 144 + (2 + 6 + 9)


6346582

42 252

16 2

2 - 9

64 160 + 1002

252 + 70 +49

94 49 2

30 + 252

2 + 8 + 2

92 - 144

4 2 36 + 81 2

254 102 2 + 4

98 2

644 816

9/ 162 + 12 + 64

494 254

= (2 4) (2 -25) = 4 -292 + 100

= 43 + 162 9 -36


6346582

22 + 2 + 5

= 3 + 32 + 3 2 + 3

3 + 2 2 3

2 32 + 3 2 3

3 2 2 + 3

3 2 2 + 3


6346582

= 2

= 2

= 2 2

= + =

= ( ) ( + ) = 2 2

=


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