题目内容

已知 2.45×1.09+0.245×9.1-0.245×10.9-0.0245×91+0.00245×1090+0.000245×9100=b,求 b的值.
分析:因为根据积不变规律,两个数相乘如果一个数扩大十倍,另一个数缩小十倍,他们乘积不变.
解答:解:2.45×1.09+0.245×9.1-0.245×10.9-0.0245×91+0.00245×1090+0.000245×9100
=2.45×1.09+2.45×0.91-2.45×1.09-2.45×0.91+2.45×1.09+2.45×0.91
=2.45×(1.09+0.91-1.09-0.91+1.09+0.91)
=2.45×2
=4.9.
点评:因为两个数相乘如果一个数扩大十倍,另一个数缩小十倍,他们的乘积不变.
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