题目内容

用简便方法计算
(1)0.25×32×0.5
(2)
3
5
×17-12×
3
5

(3)18×(
1
2
+
2
3
-
4
9
+
5
6

(4)(50×49×48)÷(25×24)
分析:(1)32=4×8,根据乘法交换律和结合律进行简算;
(2)根据乘法分配律进行简算;
(3)根据乘法分配律进行简算;
(4)48=2×24,24=4×6,再根据乘法交换律和结合律进行简算.
解答:解:
(1)0.25×32×0.5,
=0.25×(4×8)×0.5,
=(0.25×4)×(8×0.5),
=1×4,
=4;

(2)
3
5
×17-12×
3
5

=
3
5
×(17-12),
=
3
5
×5,
=3;

(3)18×(
1
2
+
2
3
-
4
9
+
5
6
),
=18×
1
2
+18×
2
3
-18×
4
9
+18×
5
6

=9+12-8+15,
=21-8+15,
=13+15,
=28;

(4)(50×49×48)÷(25×24),
=(50×49×2×24)÷(25×4×6),
=(50×2×24×49)÷(25×4×6),
=(100×24×49)÷(100×6),
=2400×49÷600,
=2400÷600×49,
=4×49,
=196.
点评:完成本题要注意分析式中数据,运用合适的简便方法计算.
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