请大侠解数学题(简便运算)

问题描述:

请大侠解数学题(简便运算)
1÷(1×2)+1÷(2×3)+1÷(3×4)+… +1÷(2008×2009)+1÷(2009×2010)=?
43×36/137+136×59/137+70×8/137=?
999乘以778加333乘以666=?

(1)不知道
(2)
43×136/137+136×59/137+70×68/137
=43*136/137+136*59/137+35*136/137
=136*(43+59+35)/137
=136
(3)
999×778+333×666
=999×778+333×(3×222)
=999×778+333×3×222
=999×778+999×222
=999×(778+222)
=999×1000
=999000