Question

数学题 99＋99╳99＋999╳999╳999

这是一道小学6年级的数学题，谁能告诉我怎样用简便的方法计算？

Answer 1

=99*(99+1)+999*(1000*999-1*999)
=99*100+999*(999000-999)
=9900+999*998001
=9900+(1000-1)*998001
=9900+1000*998001-998001
=9900+(998001000-998001)
=9900+997002999
=997012899

把999看成是1000-1，就直接转换成加法了

Answer 2

=99*(99+1)+999*(1000*999-1*999)
=99*100+999*(999000-999)
=9900+999*998001
=9900+(1000-1)*998001
=9900+1000*998001-998001
=9900+(998001000-998001)
=9900+997002999
=997012899

Answer 3

=99*(99+1)+999*(1000*999-1*999)
=99*100+999*(999000-999)
=9900+999*998001
=9900+(1000-1)*998001
=9900+1000*998001-998001
=9900+(998001000-998001)
=9900+997002999
=997012899 书上看的

Answer 4

99+99*99+999*999*999=(100-1)+(100-1)(100-1)+(1000-1)(1000-1)==(100-1)[1+(100-1)]+(10^6-1)=99*100-1+10^6=9899+10^6=1009899

Answer 5

计算器