100-1.54×0.27这个简便计算怎样解答?
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100-1.54×0.27
=100-0.27x(1+0.54)
=100-0.27-0.27x0.54
=99.73-0.27ⅹ9x0.6
=99.73-0.27x0.6x(10-1)
=99.73-0.27x6+0.27x0.6
=99.73-6x9x0.03+0.6ⅹ9x0.03
=99.73-0.18ⅹ(10-1)+0.018x(10-1)
=99.73-1.8+0.18+0.18-0.018
=99.73-1.8+0.36-0.018
=99.73-1.44-0.018
=98.29-0.018
=98.272
=100-0.27x(1+0.54)
=100-0.27-0.27x0.54
=99.73-0.27ⅹ9x0.6
=99.73-0.27x0.6x(10-1)
=99.73-0.27x6+0.27x0.6
=99.73-6x9x0.03+0.6ⅹ9x0.03
=99.73-0.18ⅹ(10-1)+0.018x(10-1)
=99.73-1.8+0.18+0.18-0.018
=99.73-1.8+0.36-0.018
=99.73-1.44-0.018
=98.29-0.018
=98.272
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解:
100-1.54*0.27
=100-(1.5+0.04)*(0.3-0.03)
=100-(1.5*0.3-1.5*0.03+0.04*0.3-0.03*0.04)
=100-0.4158
=99.5842
100-1.54*0.27
=100-(1.5+0.04)*(0.3-0.03)
=100-(1.5*0.3-1.5*0.03+0.04*0.3-0.03*0.04)
=100-0.4158
=99.5842
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把0.27变为0.03x9,运用混合运算的计算顺序,进行简便计算。
100-1.54x0.27
=100-1.54x0.03x9
=100-0.0462x9
=100-0.4158
=99.5842
100-1.54x0.27
=100-1.54x0.03x9
=100-0.0462x9
=100-0.4158
=99.5842
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