99+99×99+99×99×99简便运算
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99+99×99+99×99×99简便运算
99+99×99+99×99×99简便运算
99+99×99+99×99×99简便运算
99+99×99+99×99×99
=99×(1+99+99×99)
=99×(100×99+1)
=99×(100×100-99)
=(100-1)×(10000-100+1)
=100×10000-10000-100×100+100+100-1
=1000000-10000-10000+100+100-1
=1000000-20000+200-1
=980199
99+99*99+99*99*99
=99*[1+99+99*99]
=99*[1+99*(99+1)]
=99*[1+9900
]
=(100-1)*9901
=990100-9901
=980199
先提出来一个99,变成99×(1+99+99×99)=99×(1+99×(1+99))=99×(1+99×100)=99×9901=980199
99+99*99=99*(99+1)=99*100
99*99*99+99*99=99*(99*99+99)=99*99*100
原式=99+99*99+99*99*99
=99*99*100+99
=99*(99*100+1)
=99*9901
=9901*100-9901=980199