题目内容

(2012?民乐县模拟)用简便方法计算(写出简算过程)
①(
1
3
+
1
4
+
1
6
)×12                  
②18.93-6
5
8
-3
3
8

③163×
3
4
-0.75×62-75%              
④7
5
12
÷
3
5
+1
2
3
×2
7
12
分析:①根据数字特点,运用乘法分配律的逆运算简算;
②运用减法的性质简算;
③把分数、百分数化为小数,运用乘法分配律的逆运算简算;
④把除法改为乘法,运用乘法分配律的逆运算简算.
解答:解:①(
1
3
+
1
4
+
1
6
)×12,
=
1
3
×12+
1
4
×12+
1
6
×12,
=4+3+2,
=9;

②18.93-6
5
8
-3
3
8

=18.93-(6
5
8
+3
3
8
),
=18.93-10,
=8.93;

③163×
3
4
-0.75×62-75%,
=163×0.75-0.75×62-0.75,
=(163-62-1)×0.75,
=100×0.75,
=75;

④7
5
12
÷
3
5
+1
2
3
×2
7
12

=7
5
12
×
5
3
+
5
3
×2
7
12

=(7
5
12
+2
7
12
)×
5
3

=10×
5
3

=
50
3
点评:此题主要考查了四则混合运算的简算,应根据数字特点,运用恰当的运算定律和性质进行简算.
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