几道简单的计算题.(一定得简便运算)过程要有!61+4×610+59×61=99999×77778+33333×66666=66×21+19×21+85×19=99×99×199=

问题描述:

几道简单的计算题.(一定得简便运算)过程要有!
61+4×610+59×61=
99999×77778+33333×66666=
66×21+19×21+85×19=
99×99×199=

61+4×610+59×61
=61+40×61+59×61
=61(1+40+59)
=61×100
=6100
99999×77778+33333×66666=
=99999×77778+33333×22222×3
=99999×77778+99999×22222
=99999×(77778+22222)
=99999×100000
=9999900000
66×21+19×21+85×19
=(66×21+19×21)+85×19
=21×(66+19)+85×19
=21×85+85×19
=85×(21+19)
=85×40
=3400
99×99×199
=(100-1)×(100-1)×199
=(10000-200+1)×199
=1990000-29800+99
=1950399

61+4×610+59×61=61×(59+1)+61×40=61×(60+40)=6100
99999×77778+33333×66666=(33333+66666)×77778+33333×66666=33333×77778+66666×77778+33333×66666=33333×(77778+2×77778+66666)=33333×300000=9999900000
66×21+19×21+85×19=21×(19+66)+85×19=85×(19+21)=85×40=3400
99×99×199= (100-1)×(100-1)×(200-1)=(10000-200-1)×(200-1)=1950399

61+46×10+59×61
=61×(1+40+59)
=6100
99999×77778+33333×66666
=99999×77778+33333×22222×3
=99999×77778+99999×22222
=99999×(77778+22222)
=99999×100000
=9999900000
66×21+19×21+85×19
=21×85+85×19
=85×40
=3400
99×99×199
= 9801×199
=1950399

61+4×610+59×61=61*1+40*61+59*61=(1+40+59)*61=100*61=6100
99999×77778+33333×66666
=99999×77778+99999×22222
=99999×(77778+22222)
=9999900000
66×21+19×21+85×19=(66+19)*21+85*19=85*21+85*19=(21+19)*85
=40*85=3400
99×99×199= (100-1)*(100-1)*199=(100-1)*(199*100-199)
=(100-1)*19701
=100*19701-19701
=1970100-19701
=1950399

61+4×610+59×61=61+61×40+61×59=61×(1+40+59)=61×100=610099999×77778+33333×66666=99999×77778+99999×22222=99999×(77778+22222)=999990000066×21+19×21+85×19=(66+19)×21+85×19=85×21+85×19...