题目内容

计算下面各题,能简便运算的要简便运算
8.54-1.47-2.53
12×(
1
4
+
1
3
-
1
6
17.28-(7.28+
3
4
7
8
÷[(
1
4
+
1
3
)÷
1
2
].
分析:(1)根据连减的简便方法计算即可;
(2)根据乘法分配律简便计算;
(3)去括号简算计算;
(4)先算小括号里的加法,再算中括号里的除法,再后算括号外面的除法.
解答:解:(1)8.54-1.47-2.53,
=8.54-(1.47+2.53),
=8.54-4,
=4.54;

(2)12×(
1
4
+
1
3
-
1
6
),
=12×
1
4
+12×
1
3
-12×
1
6

=3+4-2,
=5;

(3)17.28-(7.28+
3
4
),
=17.28-7.28-0.75,
=10-0.75,
=9.25;

(4)
7
8
÷[(
1
4
+
1
3
)÷
1
2
],
=
7
8
÷[
7
12
÷
1
2
],
=
7
8
×
6
7

=
3
4
点评:此题是考查四则混合运算,要仔细观察算式的特点,灵活运用一些定律进行简便计算.
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