题目内容

计算下面各题,能简算的要简算.
7.28+
3
7
+2.72+
4
7

3
8
+
1
6
)÷
1
24

168.1÷(4.3×2-0.4)
36×
5
8
+36×0.375
3
7
+
6
7
÷
2
3
分析:(1)运用加法交换律与结合律简算;
(2)把除法改为乘法,运用乘法分配律简算;
(3)先算括号内的乘法,再算括号内的减法,最后算括号外的除法;
(4)运用乘法分配律简算,同时把分数化为小数;
(5)先算除法,再算加法.
解答:解:(1)7.28+
3
7
+2.72+
4
7

=(7.28+2.72)+(
3
7
+
4
7
),
=10+1,
=11;

(2)(
3
8
+
1
6
)÷
1
24

=(
3
8
+
1
6
)×24,
=
3
8
×24+
1
6
×24,
=9+4,
=13;

(4)168.1÷(4.3×2-0.4),
=168.1÷(8.6-0.4),
=168.1÷8.2,
=20.5;

(5)36×
5
8
+36×0.375,
=36×(
5
8
+0.375),
=36×(0.625+0.375),
=36×1,
=36;

(6)
3
7
+
6
7
÷
2
3

=
3
7
+
6
7
×
3
2

=
3
7
+
9
7

=
12
7
点评:考查了四则混合运算,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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