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

Toán Lớp 4: 1.tìm số tự nhiên n thỏa mãn a, (1/1×3+1/3×5+1/5×7+1/7×9+1/9×11 b, n/2+n+n/3+n+n+n/4=23/6 2,tính bằng cách thuận tiện nhất a,1996×1001

Toán Lớp 4: 1.tìm số tự nhiên n thỏa mãn
a, (1/1×3+1/3×5+1/5×7+1/7×9+1/9×11
b, n/2+n+n/3+n+n+n/4=23/6
2,tính bằng cách thuận tiện nhất
a,1996×1001-1996
b, 3x45x12+9x53x4+36+36

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    Bài 1
    a, ( 1/(1×3) + 1/(3×5) + 1/(5×7) + 1/(7×9) + 1/(9×11) ) . n = 10/11
        [ 1/2 × ( 1 – 1/3 + 1/3 – 1/5 + 1/5 – 1/7 + 1/7 – 1/9 + 1/9 – 1/11 )] × n = 10/11
        [ 1/2 × ( 1 – 1/11 )] × n = 10/11
        [ 1/2 × 10/11 ] × n = 10/11
        5/11 × n = 10/11
        n = 10/11 : 5/11
        n = 2
    __________________
    b, n/2 + ( n + n )/3 + ( n + n + n )/4 = 23/6
        n/2 + ( n × 2 )/3 + ( n × 3 )/4 = 23/6
        n . ( 1/2 + 2/3 + 3/4 ) = 23/6
        n . 23/12 = 23/6
        n = 23/6 : 23/12
        n = 2
    Bài 2:
    a, 1996 × 1001 – 1996
    = 1996 × ( 1001 – 1 )
    = 1996 × 1000
    = 1996000
    ______________
    b, 3 × 45 × 12 + 9 ×53 × 4 + 36 + 36
    = 45 × 36 + 53 × 36 + 36 × 2
    = 36 × ( 45 + 53 + 2 )
    = 36 × 100
    = 3600

  2. Giải đáp:
    1.
    a) (1/(1xx3)+1/(3xx5)+1/(5xx7)+1/(7xx9)+1/(9xx11))xxn=10/11
    =>2xx(1/(1xx3)+1/(3xx5)+1/(5xx7)+1/(7xx9)+1/(9xx11))xxn=2xx10/11
    =>(2/(1xx3)+2/(3xx5)+2/(5xx7)+2/(7xx9)+2/(9xx11))xx n=20/11
    =>(1-1/3+1/3-1/5+…+1/9-1/11)xxn=20/11
    =>(1-1/11)xxn=20/11
    =>10/11xxn=20/11
    =>$n=\dfrac{20}{11}:\dfrac{10}{11}$
    =>n=2
    Vậy n=2.
    b) n/2+(n+n)/3+(n+n+n)/4=23/6
    =>n/2+(2xxn)/3+(3xxn)/4=23/6
    =>1/2xxn+2/3xxn+3/4xxn=23/6
    =>n xx(1/2+2/3+3/4)=23/6
    =>n xx23/12=23/6
    =>$n=\dfrac{23}{6}:\dfrac{23}{12}$
    =>n=2
    Vậy n=2.
    2.
    a) 1996xx1001-1996
    =1996xx(1001-1)
    =1996xx1000
    =1996000
    b) 3xx45xx12+9xx53xx4+36+36
    =36xx45+36xx53+36xx2
    =36xx(45+53+2)
    =36xx100
    =3600.

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