题目内容

脱式计算(怎样简便怎样算):
43-(
2
5
+24÷2
2
3
 );
3
10
×0.87+0.23×
3
10
)÷3%;
32×
30
31
+
1
31

3.59-1.81-0.19-0.59.
分析:(1)先按运算顺序计算,在运算过程中要用到加法结合律;
(2)括号内的式子用乘法分配律简算,此题还要用到乘法交换律和结合律;
(3)把32看作31+1,用乘法分配律计算,同时此题还用到加法结合律;
(4)利用减法的性质和加法结合律简算.
解答:解:(1)43-(
2
5
+24÷2
2
3
 ),
=43-(
2
5
+24÷
8
3
),
=43-(
2
5
+24×
3
8
),
=43-
2
5
-9,
=43-9-
2
5

=34-
2
5

=33
3
5


(2)(
3
10
×0.87+0.23×
3
10
)÷3%,
=
3
10
×(0.87+0.23)÷
3
100

=
3
10
×1.1×
100
3

=
3
10
×
100
3
×1.1,
=10×1.1,
=11;

(3)32×
30
31
+
1
31

=(31+1)×
30
31
+
1
31

=31×
30
31
+
30
31
+
1
31

=30+1,
=31;

(4)3.59-1.81-0.19-0.59,
=(3.59-0.59)-(1.81+0.19),
=3-2,
=1.
点评:此题重点考查学生对运算定律的运用情况,只有熟练地掌握运算定律,才能做到简化的目的.
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