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已知1/2+1/5+1/8+1/11+1/20+1/41+1/110+1/1604=1；求：求-1/2-1/5+1/8+1/11-1/20+1/41+1/110+1/1640的值
题目详情
已知1/2+1/5+1/8+1/11+1/20+1/41+1/110+1/1604=1；求：
求-1/2-1/5+1/8+1/11-1/20+1/41+1/110+1/1640的值
求-1/2-1/5+1/8+1/11-1/20+1/41+1/110+1/1640的值
▼优质解答
答案和解析
1/2+1/5+1/8+1/11+1/20+1/41+1/110+1/1604=1
1/8+1/11+1/41+1/110+1/1604=1-1/2-1/5-1/20
-1/2-1/5-1/20+1/8+1/11+1/41+1/110+1/1640
=-1/2-1/5-1/20+1-1/2-1/5-1/20
=1-1/2-1/2-1/5-1/5-1/20-1/20
=-2/5-1/10
=-4/10-1/10
=-5/10
=-1/2
1/8+1/11+1/41+1/110+1/1604=1-1/2-1/5-1/20
-1/2-1/5-1/20+1/8+1/11+1/41+1/110+1/1640
=-1/2-1/5-1/20+1-1/2-1/5-1/20
=1-1/2-1/2-1/5-1/5-1/20-1/20
=-2/5-1/10
=-4/10-1/10
=-5/10
=-1/2
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