脱式计算,能简算的要简算. ①1÷[[7/10]×(1-[4/7])] ②3.8×99+3.8 ③2700×(506-4
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解题思路:①③④⑤据四则混合运算的运算顺序计算即可.②⑥运用乘法的分配律进行计算即可.

①1÷[[7/10]×(1-[4/7])],

=1÷[[7/10×

3

7]],

=1÷

3

10,

=3[1/3];

②3.8×99+3.8,

=3.8×(99+1),

=3.8×100,

=3800;

③2700×(506-499)÷900,

=2700×7÷900,

=2700÷900×7,

=3×7,

=21;

④[9/10]÷[[1/2]×([6/5]-[3/10])],

=[9/10]÷[[1/2]×[9/10]],

=[9/10÷

9

20],

=[9/10×

20

9],

=2;

⑤33.02-(148.4-90.85)÷2.5,

=33.02-57.55÷2.5,

=33.02-23.02,

=10;

⑥[8/13]÷7+[1/7]×[5/13],

=[8/13]×[1/7]+[1/7]×[5/13],

=([8/13]+[5/13])×[1/7],

=[1/7];

点评:

本题考点: 分数的四则混合运算;整数四则混合运算;运算定律与简便运算;小数四则混合运算.

考点点评: 完成本题要注意分析式中数据,运用合适的简便方法计算.