问题 解答题

①2003+2002-2001-2000+1999+1998-1997-1996+…+7+6-5-4+3+2-1

②95×125+125×14-25×5

③99999×7+11111×37

④0.125×0.25×0.5×64

⑤13.5×9.9+6.5×10.1

⑥17.42-(3.36-2.58)-6.64

⑦48×29+13×16.

答案

①2003+2002-2001-2000+1999+1998-1997-1996+…+7+6-5-4+3+2-1

=2003+2002-2001-(2000-1999)+(1998-1997)-…-(4-3)+(2-1),

=2003+2002-2001-1+1-…-1+1,

=2003+2002-2001,

=2004;

②95×125+125×14-25×5,

=95×125+125×14-125,

=125×(95+14-1),

=125×108,

=125×8+125×100,

=1000+12500,

=13500;

③99999×7+11111×37,

=11111×9×7+11111×37,

=11111×63+11111×37,

=11111×(63+37),

=1111100;

④0.125×0.25×0.5×64,

=0.125×0.25×0.5×64,

=0.125×0.25×0.5×8×8,

=(0.125×8)×(0.25×8)×0.5,

=1×2×0.5,

=1;

⑤13.5×9.9+6.5×10.1,

=13.5×9.9+6.5×10.1,

=13.5×9.9+6.5×(9.9+0.2),

=13.5×9.9+6.5×9.9+1.3,

=9.9×(13.5+6.5)+1.3,

=198+1.3,

=199.3;

⑥17.42-(3.36-2.58)-6.64,

=17.42-(3.36-2.58)-6.64,

=17.42-3.36-6.64,

=10;

⑦48×29+13×16,

=16×3×29+13×16,

=16×87+13×16,

=16×(87+13),

=1600.

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