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用简便方法计算999×999+1999

简便计算 999×999+1999 =999×999+999+1000 =999×(999+1)+1000 =999×1000+1000 =999000+1000 =100000

=(1000-1)²+2000-1 =1000000-2×1000+1+2000-1 =1000000

1999+999×999 =1000+999+999×999 =1000+999×(1+999) =1000+999×1000 =1000×(1+999) =1000×1000 =1000000

解:根据拆分法和提取公因式的简便方法, 原式=999x999+999+1000 =999x(999+1)+1000 =999x1000+1000 =1000x(999+1) =1000x1000 =1000000

简便方法 999x999+1999 =999x999+999+1000 =999×(999+1)+1000 =999×1000+1000 =(999+1)×1000 =1000×1000 =1000000

=999×999+999×1+1000 =999×1000+1000 =1000×1000 =1000000

1999+999*999 =1000+999+999*999 =1000+999*(999+1) =1000*(999+1) =1000000 999*99*9 =(1000-1)*(100-1)*9 =1000*(100*9-9)-(100*9-9) =891000-891 =890109

解:如图

1999+999*999 =1000+999+999*999 =1000+(999+1)*999 =1000+1000*999 =1000+999000 =1000000

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