问题 解答题
怎样简便就怎样算
①0.25×1.25×0.8×0.4
[(25%-
1
12
3
16
]÷0.375

③1990×198.9-1989×198.8
④2007÷2007
2007
2008
+
1
2009

⑤(1+
19
105
)+(1+
19
105
×2
+(1+
19
105
×3
)+…(1+
19
105
×20
答案

①0.25×1.25×0.8×0.4,

=(0.25×0.4)×(1.25×0.8),

=0.1×1,

=0.1;

[(25%-

1
12
3
16
]÷0.375,

=[

1
6
×
3
16
]÷0.375,

=

1
32
÷0.375,

=

1
12

③1990×198.9-1989×198.8,

=1990×198.9-198.9×1988,

=×198.9,

=2×198.9,

=397.8;

④2007÷2007

2007
2008
+
1
2009

=2007÷

2007×2008+2007
2008
+
1
2009

=2007÷

2007×(2008+1)
2008
+
1
2009

=2007÷

2007×2009
2008
+
1
2009

=2007×

2008
2007×2009
+
1
2009

=

2008
2009
+
1
2009

=1;

⑤(1+

19
105
)+(1+
19
105
×2
)+(1+
19
105
×3)+…+(1+
19
105
×20
),

=1+

19
105
+1+
19
105
×2
+1+
19
105
×3+…+1+
19
105
×20

=(1+1+1+…+1)+

19
105
×(1+2+3+…+20),

=20+

19
105
×[(1+20)×20÷2],

=20+

19
105
×210,

=20+36,

=56.

判断题
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