55*99*25的简便计算

问题描述:

55*99*25的简便计算

55×99×25
=(50+5)×25×(100-1)
=(50×25+5×25)×(100-1)
=(1250+125)×(100-1)
=1375×100-1375
=136125

55*99*25
=55×(100-1)*25
=55*100*25-55*25
=(56-1)*2500-(56-1)*25
=56*2500-2500-56*25+25
=14*4*2500-2500-14*4*25+25
=14*10000-2500-14*100+25
=140000-2500-1400+25
=136125