题目内容

(2012?宝安区模拟)计算.(要写出计算过程)
(1)4.05-2.86-0.14 (2)75×60%+24×
3
5
+0.6
(3)(
1
3
-
1
5
)×45
(4)
6
7
-
6
7
×(
2
3
+
1
9
(5)10.2-(1.25+2.5)÷1.5 (6)[2-(
1
2
+
1
6
)]÷1
1
3
分析:(1)运用减法的性质:连续减去两个数等于减去这两个数的和计算即可;
(2)(3)运用乘法分配律简算即可;
(4)(5)(6)运用运算顺序计算即可.
解答:解:(1)4.05-2.86-0.14,
=4.05-(2.86+0.14),
=4.05-3,
=1.05;

(2)75×60%+24×
3
5
+0.6,
=75×0.6+24×0.6+0.6,
=0.6×(75+24+1),
=0.6×100,
=60;

(3)(
1
3
-
1
5
)×45
=
1
3
×45-
1
5
×45,
=15-9,
=6;

(4)
6
7
-
6
7
×(
2
3
+
1
9
),
=
6
7
-
6
7
×
7
9

=
6
7
-
2
3

=
4
21


(5)10.2-(1.25+2.5)÷1.5,
=10.2-3.75÷1.5,
=10.2-2.5,
=7.7;

(6)[2-(
1
2
+
1
6
)]÷1
1
3

=[2-
2
3
]÷1
1
3

=
4
3
×
3
4

=1.
点评:计算注意运算顺序,合理利用运算定律使计算简便.
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