用简便方法计算下面各题 ①61+4×610+59×61 ②99999×77778+33333×66666 = = = = = = =
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①原式=61+4×610+59×61
=61×1+40×61+59×61
=(1+40+59)×61
=(60+40)×61
=100×61
=6100
②原式=99999×77778+33333×66666
=99999×77778+3x11111x2x33333
=99999×77778+3x33333x2x11111
=99999×77778+99999×22222
=99999×(77778+22222)(乘法分配律)
=99999×100000
=9999900000
=61×1+40×61+59×61
=(1+40+59)×61
=(60+40)×61
=100×61
=6100
②原式=99999×77778+33333×66666
=99999×77778+3x11111x2x33333
=99999×77778+3x33333x2x11111
=99999×77778+99999×22222
=99999×(77778+22222)(乘法分配律)
=99999×100000
=9999900000
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