用简便方法计算下面各题.0.125×5.46×8 2.5×3.2×1254.9×101?
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解题思路:(1)0.125×5.46×8,运用乘法交换律和结合律进行简算;
(2)2.5×3.2×125,把3.2拆分为:4×0.8,再运用乘法结合律进行简算;
(3)4.9×101,运用乘法分配律进行简算;
(4)4.5×12.6-3.6×4.5+4.5,运用乘法分配律进行简算;
(5)5.74×99+5.74,运用乘法分配律进行简算;
(6)19.7×lOl一19.7.运用乘法分配律进行简算.
(1)0.125×5.46×8,
=(0.125×8)×5.46,
=1×5.46,
=5.46;
(2)2.5×3.2×125,
=(2.5×4)×(0.8×125),
=10×100,
=1000;
(3)4.9×101,
=4.9×100+4.9×1,
=490+4.9,
=494.9;
(4)4.5×12.6-3.6×4.5+4.5,
=4.5×(12.6-3.6+1),
=4.5×10,
=45;
(5)5.74×99+5.74,
=5.74×(99+1),
=5.74×100,
=574;
(6)19.7×lOl一19.7.
=19.7×(101-1),
=19.7×100,
=1970.
,7,用简便方法计算下面各题.
0.125×5.46×8
2.5×3.2×125
4.9×101
4.5×12.6-3.6×4.5+4.5
5.74×99+5.74
19.7×lOl-19.7.
(2)2.5×3.2×125,把3.2拆分为:4×0.8,再运用乘法结合律进行简算;
(3)4.9×101,运用乘法分配律进行简算;
(4)4.5×12.6-3.6×4.5+4.5,运用乘法分配律进行简算;
(5)5.74×99+5.74,运用乘法分配律进行简算;
(6)19.7×lOl一19.7.运用乘法分配律进行简算.
(1)0.125×5.46×8,
=(0.125×8)×5.46,
=1×5.46,
=5.46;
(2)2.5×3.2×125,
=(2.5×4)×(0.8×125),
=10×100,
=1000;
(3)4.9×101,
=4.9×100+4.9×1,
=490+4.9,
=494.9;
(4)4.5×12.6-3.6×4.5+4.5,
=4.5×(12.6-3.6+1),
=4.5×10,
=45;
(5)5.74×99+5.74,
=5.74×(99+1),
=5.74×100,
=574;
(6)19.7×lOl一19.7.
=19.7×(101-1),
=19.7×100,
=1970.
,7,用简便方法计算下面各题.
0.125×5.46×8
2.5×3.2×125
4.9×101
4.5×12.6-3.6×4.5+4.5
5.74×99+5.74
19.7×lOl-19.7.
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