用简便方法计算. 1.7+3.98+ 1 50 47 50 ×51 5.73-3 8 17 +(4.27-2 9 17

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  • 1.7+3.98+

    1

    50 ,

    =1.7+(3.98+0.02),

    =1.7+4,

    =5.7;

    47

    50 ×51,

    =

    47

    50 × (50+1),

    =

    47

    50 ×50+

    47

    50 ×1 ,

    =47 +

    47

    50 ,

    =47

    47

    50 ;

    5.73-3

    8

    17 +(4.27-2

    9

    17 ),

    =5.73+4.27-(3

    8

    17 +2

    9

    17 ),

    =10-6,

    =4;

    45×2.08+1.5×37.6,

    =1.5×62.4+1.5×37.6,

    =1.5×(62.4+37.6),

    =1.5×100,

    =150;

    99999×77778+33333×66666,

    =99999×77778+33333×(3×22222),

    =99999×77778+(33333×3)×22222,

    =99999×77778+99999×22222,

    =99999×(77778+22222),

    =99999×100000,

    =9999900000;

    362+548×361

    362×548-186 ,

    =(362+548×361)÷(362×548-186),

    =[362+548×(362-1)]÷(362×548-186),

    =[362-548+548×362]÷(362×548-186),

    =(362×548-186)÷(362×548-186),

    =1;

    1

    1×4 +

    1

    4×7 +

    1

    7×10 +…+

    1

    97×100 ,

    =

    1

    3 ×[(1 -

    1

    4 )+(

    1

    4 -

    1

    7 )+(

    1

    7 -

    1

    10 )+…+(

    1

    97 -

    1

    100 )],

    =

    1

    3 ×

    99

    100 ,

    =

    33

    100 ;

    1

    2 +

    1

    4 +

    1

    8 +

    1

    16 +

    1

    32 ,

    =(1-

    1

    2 )+(

    1

    2 -

    1

    4 )+(

    1

    4 -

    1

    8 )+(

    1

    8 -

    1

    16 )+(

    1

    16 -

    1

    32 ),

    =1 -

    1

    2 +

    1

    2 -

    1

    4 +

    1

    4 -

    1

    8 +

    1

    8 -

    1

    16 +

    1

    16 -

    1

    32 ,

    =1 -

    1

    32 ,

    =

    31

    32 ;