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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: Sử dụng tính chất a.b +(-) a.c = a.(b+c) 1. (15 . 13 – 21) : 2 + 108 2. 4^2 . 444446 – 4^3 . 111111 3. (5^3015 – 5^3013) : 5^3013 4. 12

Toán Lớp 6: Sử dụng tính chất a.b +(-) a.c = a.(b+c)
1. (15 . 13 – 21) : 2 + 108
2. 4^2 . 444446 – 4^3 . 111111
3. (5^3015 – 5^3013) : 5^3013
4. 125 – [ 65 – (7 – 3)^3 ]
5. 123 . 456456 – 228. 246246
6. (548 . 13 + 1096) . 43 : 15 . 86
7. (3^13 : 99 – 15 . 3^14) : (3^17 : 3^2)

Comments ( 2 )

  1. Giải đáp:
    1. (15 . 13 – 21) : 2 + 108
    = -5,87 : 2 +108
    =-2,935 + 108
    =105,065
    2. 4² . 444446 – 4³ . 111111
    =16 .444446 – 64 . 111111
    =7111136 – 7111104
    =32
    3. ($5^{3015}$ – $5^{3013}$ ) : $\frac{5}{3013}$
    = $5^{3015}$ : $\frac{5}{3013}$ – $5^{3013}$ : $\frac{5}{3013}$
    =5² – 1 
    =25-1
    =24
    4. 125 – [ 65 – (7 – 3)^3 ]
    = 125 – (65 – 4³)
    = 125 – (65-64)
    = 125 – 1 
    =124
    5. 123 . 456456 – 228. 246246
    =56144088 – 56144088
    =0
    6. (548 . 13 + 1096) . 43 : 15 . 86
    =(7124 +1096).43:15.86
    =8220 . 43 : 15. 86
    =353460 : 15 .86
    =23564 . 86
    =2026504
    7. ($3^{13}$ : 99 – 15 . $3^{14}$ ) : ($\frac{3}{17}$ : $\frac{3}{2}$ )
    =($3^{13}$ : 99 – 15 . $3^{14}$ ) : $3^{15}$ 
    = $3^{13}$ : 99 : $3^{15}$ – 15 . $3^{14}$  : $3^{15}$
    = $3^{13}$ : $3^{15}$: 99 –  15.$3^{-1}$ 
    = $3^{-2}$ : 99 – 15. $\frac{1}{3}$ 
    = $\frac{1}{9}$ : 99 – 5
    =$\frac{1}{891}$-5
    =$\frac{-4454}{891}$ 
                 @tuanbach1104      
    Lời giải và giải thích chi tiết:
     

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    Sử dụng tính chất a.b +(-) a.c = a.(b+c)
    1.(15*13-21):2+108
    =(195-21):2+108
    =174:2+108
    =87+108
    =195
    _______________________________
    2) 4^2 . 444446 – 4^3 . 111111
    =16 . 444446 – 64 . 111111
    =2^4 . 444446 – 2^5*2. 111111
    =2^4*(444446-2*111111)
    =2^4*(444446-222222)
    =2^4*222224
    =3555584
    ___________________________________
    3. (5^3015 – 5^3013) : 5^3013
    =5^3015:5^3013-5^3013:5^3013
    =5^(3015-3013)-5^(3013-3013)
    =5^3-5^0
    =125-1
    =124
    ______________________________________
    4. 125 – [ 65 – (7 – 3)^3 ]
    =125-(65-4^3)
    =125-(65-64)
    =125-1
    =124
    ______________________________________
    5) 123 . 456456 – 228. 246246
    =123*1001*2*228-228*123*2*1001
    =123*(1001*2*228-228*2*1001)
    =123*[1001(2*228-2*228)]
    =123*[1001(456-456)]
    =123*(1001*0)
    =123*0
    =0
    ________________________
    6) (548 . 13 + 1096) . 43 : 15 . 86
    =(548*13+548*2)*43:15*86
    =[548*(13+2)]*43:15*86
    =(548*15)*43:15*86
    =548*15*43:15*86
    =(548*15*43):15*86
    =353460:15*86
    =23564*86
    =2026504
    _________________
    7) (3^13 : 99 – 15 . 3^14) : (3^17 : 3^2)
    =(3^13 * 1/99 – 15 . 3^14) : (3^17 : 3^2)
    =(3^13*(1/99-15*3):(3^(17-2)
    =(3^13*-4454/99):3^15
    =(3^13/1*-4454/99):3^15
    =((3^13*(-4454))/99):3^15
    =-7101114642/99:3^15
    =-7101114642/99*1/3^15
    =(-7101114642)/(99*3^15)
    =(2*3^13*17*131)/(3^2*3^15*11)
    =(2*17*131)/(3^2*3^3*11)
    =4454/2673

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222-9+11+12:2*14+14 = ? ( )