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

Toán Lớp 5: Tính nhanh B = 1/2×6 + 1/6×10 +… + 1/96×100 C = 2/1×6 + 2/6×11 +… +2/501×506 nhờ mn giúp với ạ

Toán Lớp 5: Tính nhanh
B = 1/2×6 + 1/6×10 +… + 1/96×100
C = 2/1×6 + 2/6×11 +… +2/501×506
nhờ mn giúp với ạ

Comments ( 2 )

  1. B=1/(2.6)+1/(6.10)+…+1/(96.100)
    =>4B=4(1/(2.6)+1/(6.10)+…+1/(96.100))
    =>4B=4/(2.6)+4/(6.10)+…+4/(96.100)
    =>4B=1/2-1/6+1/6-1/10+…+1/96-1/100
    =>4B=1/2-1/100
    =>4B=49/100
    =>B=49/400
    C=2/(1.6)+2/(6.11)+….+2/(501.506)
    =>2,5C=2,5(2/(1.6)+2/(6.11)+….+2/(501.506))
    =>2,5C=5/(1.6)+5/(6.11)+…+5/(501.506)
    =>2,5C=1-1/6+1/6-1/11+…+1/101-1/506
    =>2,5C=1-1/506
    =>2,5C=505/506
    =>C=101/253

  2. B= 1/( 2 xx6) + 1/( 6 xx10) + … + 1/( 96 xx 100)
    = 1/4 xx ( 4/( 2 xx6) + 4/( 6 xx10) + … + 4/( 96 xx 100))
    = 1/4 xx ( 1/2 – 1/6 + 1/6 – 1/10 + … + 1/96 – 1/100)
    = 1/4 xx ( 1/2 – 1/100)
    = 1/4 xx 49/100
    = 49/400
    Vậy B = 49/400
    C = 2/(1 xx 6) + 2/( 6 xx 11) + … + 2/( 501 xx 506)
    = 2/5 xx ( 5/(1 xx 6) + 5/( 6 xx 11) + … + 5/( 501 xx 506))
    = 2/5 xx ( 1 – 1/6 + 1/6 – 1/11 + … + 1/501 – 1/506)
    = 2/5 xx ( 1 – 1/506)
    = 2/5 xx 505/506
    =101/253
    Vậy C = 101/253

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

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