Question

小学四年级数学简便计算

11*37*999*7简便方法怎么算

Answer 1

11*37*999*7
=（10+1）*(40-3)*(1000-1)*(10-3)
=[(10+1)*(1000-1)]*[(40-3)*(10-3)]
=(10000+1000-10-1)*(400-31-120+9)
=（10000+1000-10-1）*（280-22）
=2800000+280000-2800-280-220000-22000+220+22
=2860000-2800-60-220000+22
=2640000-2800-38
=2637200-38
=2637162

Answer 2

11*37*999*7
=(11*7)*(37*999)
=77*[37*(1000-1)]
=77*(37*1000-37)
=77*(37000-37)
=77*37963
=2846151
或
11*37*999*7
=407*（999*7）
=407*[(1000-1)*7]
=407*(7000-7)
=407*6993
=(400+7)*6993
=2797200+48951
=2846151

注意：1楼解错了

Answer 3

11*37*999*7
=(11*7)*(37*999)
=77*[37*(1000-1)]
=77*(37*1000-37)
=77*(37000-37)
=77*37963
=2846151

Answer 4

11*37*999*7
=407*（999*7）
=407*[(1000-1)*7]
=407*(7000-7)
=407*6993
=(400+7)*6993
=2797200+48951
=2846151

Answer 5

11*37*999*7
=(10*37+37)*7*(1000-1)
=(370+37)*7*1000-(370+37)*7*1
=407*7*1000-407*7
=2849000-407
=2849000-400-7
=2848600-7
=2848593