Question

66×666+6666×66666求简便

Answer 1

原式=66666x（10001+6666）
=66666x(16665+2)
=66666x16665+66666x2
=66666x5555x3+66666x2
=6x11111x5x1111x3+6x11111x2
=90x11111x1111+12x11111
=11111x(90x1111+12)
=11111x(99990+12)
=11111x(100000+2)
=11111x100000+11111x2
=1111100000+22222
=1111122222

Answer 2

66×666+6666×66666
=66×(666+101×66666)
=66×(666+(100+1)×66666)
=66×(666+6666600+66666)
=66×(666+6666600+70000-3000-334)
=66×(6593600+332)
=66×(6593600+400-68)
=66×(6594000-68)
=66×6594000-66×68
=435204000-4488
=435199512

Answer 3

66×666+6666×66666
=(2/3)^2×(99×999+9999×99999)
=4/9×【99×（1000-1)+9999×(100000-1)】
=4/9×(99000-99+999900000-9999)
=4/9×(999999000-100-10000+2)
=4/9×(999988900+2)
=4/9×999988902
=444439512

Answer 4

66666×（1+6666）=66666×6667=66666×7000-3×66666