1+0.99-0.98-0.97+0.96+0.95-0.94-0.93+...+0.04+0.03-0.02-0.01简便运算
问题描述:
1+0.99-0.98-0.97+0.96+0.95-0.94-0.93+...+0.04+0.03-0.02-0.01简便运算
答
1+0.99-0.98-0.97+0.96+0.95-0.94-0.93+...+0.04+0.03-0.02-0.01
=(1+0.99-0.98-0.97)+(0.96+0.95-0.94-0.93)+...+(0.04+0.03-0.02-0.01)
=0.04+0.04+...+0.04 (共100/4=25项)
=0.04x25
=1