简算 1/1*2+1/2*3+1/3*4.1/98*99+1/99*100
问题描述:
简算 1/1*2+1/2*3+1/3*4.1/98*99+1/99*100
答
1/1*2+1/2*3+1/3*4.1/98*99+1/99*100
=(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/99-1/100)
=1/1-1/100
=0.99