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0.1×0.3×0.9+0.2×0.6×1.8+0.3×0.7×2.70.1×0.2×0.4+0.2×0.4×0.8+0.3×0.6×1.2
分析:通过观察,此题数字很有特点,可把原式变为:
0.1×0.3×0.9×13+0.1×0.3×0.9×23+0.1×0.3×0.9×33
0.1×0.2×0.4×13+0.1×0.2×0.4×23+0.1×0.2×0.4×33
,分子、分母可运用乘法分配律计算.
解答:解:
0.1×0.3×0.9+0.2×0.6×1.8+0.3×0.7×2.7
0.1×0.2×0.4+0.2×0.4×0.8+0.3×0.6×1.2

=
0.1×0.3×0.9×13+0.1×0.3×0.9×23+0.1×0.3×0.9×33
0.1×0.2×0.4×13+0.1×0.2×0.4×23+0.1×0.2×0.4×33

=
0.1×0.3×0.9×(13+23+33)
0.1×0.2×0.4×(13+23+33)

=3
3
8
点评:此题构思巧妙、新颖别致.要仔细观察,抓住特点,运用所学知识,进行巧妙解答.
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