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

Toán Lớp 6: Tính 2021/1.2+2021/2.3+2021/3.4+-+2021/99.100

Toán Lớp 6: Tính
2021/1.2+2021/2.3+2021/3.4+….+2021/99.100

Comments ( 2 )

  1. Giải đáp:
    =2000,79
    Lời giải và giải thích chi tiết:
    2021/1.2+2021/2.3+2021/3.4+….+2021/99.100
    =2021.(1/1.2+1/2.3+1/3.4+…+1/99.100)
    =2021.(1-1/2+1/2-1/3+1/3-1/4+…+1/99-1/100)
    =2021.(1-1/100)
    =2021.(100/100-1/100)
    =2021. 99/100
    =200079/100
    =2000,79

  2. 2021/( 1 . 2 ) + 2021/( 2 . 3 ) + 2021/( 3 . 4 ) + …. + 2021/( 99 . 100 )
    = 2021 . ( 1/( 1 . 2 ) + 1/( 2 . 3 ) + 1/( 3 . 4 ) + …. + 1/( 99 . 100 ) )
    = 2021 . ( 1/1 – 1/2 + 1/2 – 1/3 + 1/3 – 1/4 + …. + 1/99 – 1/100 )
    = 2021 . ( 1 – 1/100 )
    = 2021 . 99/100
    = 200079/100

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

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