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

Toán Lớp 6: A=10²⁰²⁰+1/10²⁰²¹+1 B=10²⁰²¹+1/10²⁰²²+1 GIÚP MÌNH VỚI

Toán Lớp 6: A=10²⁰²⁰+1/10²⁰²¹+1
B=10²⁰²¹+1/10²⁰²²+1
GIÚP MÌNH VỚI

Comments ( 2 )

  1. Ta có : A = ( 10^2020 + 1 )/( 10^2021 + 1 )

    10 . A = ( 10 . ( 10^2020 + 1 ) )/( 10^2021 + 1 )

    10 . A = ( 10^2021 + 10 )/( 10^2021 + 1 )

    10 . A = ( 10^2021 + 1 + 9 )/( 10^2021 + 1 )

    10 . A = 1 + 9/( 10^2021 + 1 )

    Lại có : A = ( 10^2021 + 1 )/( 10^2022 + 1 )

    10 . A = ( 10 . ( 10^2021 + 1 ) )/( 10^2022 + 1 )

    10 . A = ( 10^2022 + 10 )/( 10^2022 + 1 )

    10 . A = ( 10^2022 + 1 + 9 )/( 10^2022 + 1 )

    10 . A = 1 + 9/( 10^2022 + 1 )

    Do 9/( 10^2021 + 1 ) > 9/( 10^2022 + 1 ) nên 10A > 10B hay A > B

    Vậy , A > B .

  2. A = {10^2020 + 1}/{10^2021 + 1}

    => 10A = {10 . (10^2020 + 1)}/{10^2021 + 1}

    => 10A = {10^2021 + 10}/{10^2021 + 1}

    => 10A = {(10^2021 + 1 ) + 9}/{10^2021 + 1}

    => 10A = 1 + 9/{10^2021 + 1}

    B = {10^2021 + 1}/{10^2022 + 1}

    => 10B = {10 . (10^2021 + 1)}/{10^2022 + 1}

    => 10B = {10^2022 + 10}/{10^2022 + 1}

    => 10B = {(10^2022 + 1 ) + 9}/{10^2022 + 1}

    => 10B = 1 + 9/{10^2022 + 1}

    Vì 1 + 9/{10^2021 + 1} > 1 + 9/{10^2022 + 1} nên A >B

    Vậy A > B

    #dtkc

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