题目内容

(2012?临川区)(1)0.9+99×0.9=
(2)
1
3
×2÷
1
3
×2=
(3)1.25×3.2×8
1
3
+0.75=
(4)(
1
9
+
1
6
)×
6
5
=
(5)10÷10%=
(6)8×
5
7
-
5
7
=
分析:(1)(4)(6)运用乘法分配律简算;
(2)把除法改为乘法,运用乘法交换律与结合律简算;
(3)把小数化为分数计算;
(5)把百分数化为小数计算.
解答:解:(1)0.9+99×0.9
=(99+1)×0.9
=100×0.9
=90;

(2)
1
3
×2÷
1
3
×2
=
1
3
×2×3×2
=(
1
3
×3)×2×2
=1×4
=4;

(3)1.25×3.2×8
1
3
+0.75
=
5
4
×
16
5
×
25
3
+
3
4

=
100
3
+
3
4

=
409
12


(4)(
1
9
+
1
6
)×
6
5

=
1
9
×
6
5
+
1
6
×
6
5

=
2
15
+
1
5

=
1
3


(5)10÷10%,
=10÷0.1
=100;

(6)8×
5
7
-
5
7

=
5
7
×(8-1)
=
5
7
×7
=5.
点评:此题考查了四则混合运算,注意数字转化,灵活运用所学的运算律简便计算.
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