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    CuCu 11:: in t thch hp vo ch trng:a. Mun cng hai s nguyn khc du ta . . . . . . hai gi trtuyt i ca chng (s ln tr s nh), ri . . . . . . . kt qutm - c du ca s c gi tr tuyt i . . . . . . .

    tm hiu

    t tr- c

    ln hn

    (1)

    (2)

    (3)

    b. Mun cng hai s nguyn cng du ta . . . . . . hai gi trcng

    (4)

    uy c a c ng r . . . . . . . r- c qu m - c.u c ungc. Hai s nguyn i nhau c tng bng0(6)

    a. (-2)+(-3) v (-3)+(-2) b. (-5)+(+7) v (+7)+(-5)c (-8)+(+4) v (+4)+(-8)

    Cu 2: Pht biu cc tnh cht ca php cng s

    t nhin? Tnh v so snh kt qu

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    Tit 47

    a. (-2) + (-3) = - ( 2 + 3 ) = -5- ( 3 + 2 ) = -5= (-3) + (-2)ay (-2) + (-3)

    (-3) + (-2) =-

    1) Tnh chat giao hoan= ?1 Tnh v so snh kt qu

    = (-3) + (-2)ay (-2) + (-3)b. (-5) + (+7) =(+7) + (-5) =

    Va y (-5) + (+7) = (+7) + (-5)+ ( 7 - 5 ) = +2+ ( 7 - 5 ) = +2

    c. (-8) + (+ 4) =(+4) + (-8) = - ( 8 - 4 ) = -4

    Va y (-8) + (+4) = (+4) + (-8)- ( 8 - 4 ) = -4

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    Tit 471. Tnh cha t giao hoan

    a + b = b + a [ (-3) + 4 ] + 2 =(-3) + ( 4 + 2 ) =[ (-3) + 2 ] + 4 =

    1 + 2 = 3(-3) + 6 = 3(-1) + 4 = 3

    2. Tnh cha t kt hpa + b + c = a+ b + c))?2i tpTnh v so snh kt qu

    [ (-3) + 2 ] + 4 = (-1) + 4 = 3[ (-3) + 4 ] + 2 = (-3) + ( 4 + 2 )

    = [ (-3) + 2 ] + 4

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    Tit 471. Tnh cha t giao hoan

    a + b = b + a2. Tnh cha t kt hpa + b + c = a+ b + c) ( )Ket qua tren go i la tong cu aba so a,b,c va vie t a+b+c.Tng t, ta c th ni ntng ca bn, nm , s nguyn

    Ch tng ca bn, nm , s nguynK hi thc hie n cong nhieu so ta co the thay o i tuy y th tca c so hang, nho m cac sohang m ot cach tuy y bang cacdau ( ) ; [ ] ; { }

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    Tit 471. Tnh cha t giao hoana + b = b + a2. Tnh cha t kt hpa + b + c = a+ (b + c))

    Tnh:(- 10) + 0

    (+ 12) + 0 =

    = (-10)

    (+12)

    Mi s nguyncng vi s 0 ckt qu nh- th

    no?

    3. Cong vi 0

    a + 0 = 0 + a = a

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    Tit 471. Tnh cha t giao hoana + b = b + a2. Tnh cha t kt hpa + b + c = a+ b + c) ( )3. Cong v i 0

    Bi tp : Thc hin phptnh sau(-12) + 1225 + (-25) =

    =00

    Ta ni: (-12) v 12 l hai s. Cong vi 0a + 0 = 0 + a = a Ta ni: (-12) v 12 l hai si nhau.25 v (-25) cng l hai s inhau.. Co ng v i so o iS i ca a k hiu l -aS i ca a k hiu l -(-a) a + (-a) =?+ ( -a) = 0 -(-a) = a

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    Tit 471. Tnh cha t giao hoana + b = b + a2. Tnh cha t kt hpa + b + c = a+ b + c) ( )3. Cong v i 0

    Nu c a + b =0 th a v b lhai s nh- th

    Ng- c l i: a + b = 0 th a v bl hai s i nhau. Khi ta ca = -b hoc b = -a

    Vy hai s iai s c tng bng 0 th chng3. Cong v i 0a + 0 = 0 + a = a4. Cong vi so o iS i ca a k hiu l -aS i ca a k hiu l -(-a)

    hai s nh- thno vi nhau?

    a + ( -a) = 0

    Vy hai s inhau l hai s ctng nh- th no?Hai s c tng bng 0 th chngl hai s i nhau.

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    Tit 471. Tnh cha t giao hoana + b = b + a2. Tnh cha t kt hpa + b + c = a+ b + c) ( )3. Cong v i 0

    Tm tong cu a tat ca songuyen a biet -3 < a < 3?3

    Gii :Cac so nguyen a thoa man

    Trong bi tontrn ta s dng. Cong vi 0a + 0 = 0 + a = a

    4. Cong vi so o iS i ca a k hiu l -aS i ca a k hiu l -(-a)a + ( -a) = 0

    Cac so nguyen a thoa man-3 < a < 3 la :-2 ; -1 ; 0 ; 1 ; 2Nn ta c tong :(-2) + (-1) + 0 + 1 + 2= [(-2) + 2] +[(-1) + 1] +0= 0

    trn ta s dngnhng tnh chtno?nh cht giao hon , tnh chtkt hp

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    Tit 471. Tnh cha t giao hoana + b = b + a2. Tnh cha t kt hpa + b + c = a+ b + c) ( )3. Cong v i 0

    Bi tp: S i ca s nguyna l s m hay s d- ngnua, a l s nguyn m ?

    S i ca a l s nguyn d- ng.3. Cong v i 0a + 0 = 0 + a = a4. Cong vi so o iS i ca a k hiu l -aS i ca a k hiu l -(-a)a + ( -a) = 0

    S i ca a l s nguyn m.S i ca a l s nguyn d- ng.b, a l s nguyn d- ng?

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  • 8/2/2019 Tit 47

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    i A

    1 2 3 4 i B

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    Ht giCu 1: Nhng tnh cht no - c s dng trongli gii d- i y?

    (-55) + 80 + (-25)

    = 80 + (-55) + (-25)

    = 80 + (-80)

    p n:

    1. tnh cht kt hp.

    2. tnh cht giao hon.3. tnh cht cng vi s i.

    = 0

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    Ht giCu 2:

    Tm s nguyn y bit: 18 + (-20) + y = 0

    p n:

    18 + (-20) + y = 0

    -2 + y = 0

    Vy y = 2

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    Ht giCu 3: Thc hin php tnh:

    (-17) + 5 + 8 + 17

    p n:

    (-17) + 5 + 8 + 17

    = (-17) + 17 + (5 + 8)

    = 0 + 13

    = 13

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  • 8/2/2019 Tit 47

    16/19

    Ht giCu 4: Chic diu ca bn Sn bay cao 7 m (so

    vi mt t). Sau mt lc cao ca chic diu tngthm 3 m ri sau gim i 4 m. Hi chic diu cao bao nhiu mt (so vi mt t) sau hai ln thayi?

    p n: Lc u cao: 7 m

    Ln th nht tng thm :3 m

    Ln th hai gim 4m, hay tng (-4)m

    Vy cao ca diu sau hai ln tng l:

    7+ 3+(-4) = 6 m

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  • 8/2/2019 Tit 47

    17/19

    Tit 47Nu cc tnh cht ca php cng s nguyn? So

    snh vi tnh cht ca php cng s t nhin.

    stt

    Tnh cht ca php cng

    t n n nguyn

    1 t/c giao hon t/c giao hon

    2 t/c kt hp t/c kt hp

    3 t/c cng vi 0 t/c cng vi 0

    4 t/c cng vi s i

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  • 8/2/2019 Tit 47

    18/19

    H- ng dn v nh

    Hc thuc cc tnh cht php cng cc s nguyn.

    Lm cc bi tp: 37b, 38, 39,40, 41, 42 trang 79

    .

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  • 8/2/2019 Tit 47

    19/19

    Tit hc kt thc

    Chc qu thy c vui kho

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