题目内容

(2010?成都模拟)脱式计算.
①15.89-(6.09-4.11) ②36.8-44.08÷5.8 ③75×60%+24×
3
5
+0.6
④(
5
12
+
1
9
+
3
8
)×72
3
5
÷[(
1
5
+
1
3
)÷
2
9
]
⑥43×
31
42
分析:①先去括号,再根据加法的交换律简便方法计算即可;
②先算除法,再算减法;
③④⑥根据乘法分配律简便计算;
⑤先计算括号里面的,再计算括号外面的除法.
解答:解:①15.89-(6.09-4.11),
=15.89+4.11-6.09,
=20-6.09,
=13.91;

②36.8-44.08÷5.8,
=36.8-7.6,
=29.2;

③75×60%+24×
3
5
+0.6,
=(75+24+1)×0.6,
=100×0.6,
=60;

④(
5
12
+
1
9
+
3
8
)×72,
=
5
12
×72+
1
9
×72+
3
8
×72,
=30+8+27,
=65;

3
5
÷[(
1
5
+
1
3
)÷
2
9
],
=
3
5
÷[
8
15
÷
2
9
],
=
3
5
÷
12
5

=
1
4


⑥43×
31
42

=(42+1)×
31
42

=42×
31
42
+
31
42

=31+
31
42

=31
31
42
点评:考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算律简便计算.
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