17.3乘10.1乘1.73简便算法分析
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27*27
=(30-3)*(30-3)
=900-2*3*30+9
=900-180+9
=720+9
729
173*173
=(200-27)*(200-27)
=40000-2*200*27+27*27
=40000-400*27+27*27
=40000-10800+729
=29200+729
=29929
17.3*10.1*1.73
=17.3*(10+0.1)*1.73
=(17.3*10+17.3*0.1)*1.73
=(173+1.73)*1.73
=173*1.73+1.73*1.73
=299.29+2.9929
=299.29+3-0.01+0.0029
=302.29-0.01+0.0029
=302.28+0.0029
=302.2829
=(30-3)*(30-3)
=900-2*3*30+9
=900-180+9
=720+9
729
173*173
=(200-27)*(200-27)
=40000-2*200*27+27*27
=40000-400*27+27*27
=40000-10800+729
=29200+729
=29929
17.3*10.1*1.73
=17.3*(10+0.1)*1.73
=(17.3*10+17.3*0.1)*1.73
=(173+1.73)*1.73
=173*1.73+1.73*1.73
=299.29+2.9929
=299.29+3-0.01+0.0029
=302.29-0.01+0.0029
=302.28+0.0029
=302.2829
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