1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496 一定要简便计算
答案:4 悬赏:80 手机版
解决时间 2021-02-28 13:10
- 提问者网友：沉默菋噵
- 2021-02-27 17:33
1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496 一定要简便计算
最佳答案
- 五星知识达人网友：等灯
- 2021-02-27 17:50
标准答案：
1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496
=(1/2+1/4+1/8+1/16+1/16+1/31+1/62+1/124+1/248+1/496+1/496)-1/496-1/16
=(1/2+1/4+1/8+1/8+1/31+1/62+1/124+1/248+1/248)-1/496-1/16
=(1/2+1/4+1/4+1/31+1/62+1/124+1/124)-1/496-1/16
=(1/2+1/2+1/31+1/62+1/62)-1/496-1/16
=(1+1/31+1/31)-1/496-1/16
=1+2/31-1/496-1/16
=1+(32-1-31)/496
=1
希望我的回答对你的学习有帮助，谢谢采纳！！追问能解释一下吗，我不怎么懂追答慢慢一步步看，就懂了追问哦，谢谢你追答赞同一下回答呗
1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496
=(1/2+1/4+1/8+1/16+1/16+1/31+1/62+1/124+1/248+1/496+1/496)-1/496-1/16
=(1/2+1/4+1/8+1/8+1/31+1/62+1/124+1/248+1/248)-1/496-1/16
=(1/2+1/4+1/4+1/31+1/62+1/124+1/124)-1/496-1/16
=(1/2+1/2+1/31+1/62+1/62)-1/496-1/16
=(1+1/31+1/31)-1/496-1/16
=1+2/31-1/496-1/16
=1+(32-1-31)/496
=1
希望我的回答对你的学习有帮助，谢谢采纳！！追问能解释一下吗，我不怎么懂追答慢慢一步步看，就懂了追问哦，谢谢你追答赞同一下回答呗
全部回答
- 1楼网友：风格不统一
- 2021-02-27 21:59
- 2楼网友：野味小生
- 2021-02-27 20:37
通分
=(248+124+62+31+16+8+4+2+1)/496
=(248+124+62+31+31)/496
=1
=(248+124+62+31+16+8+4+2+1)/496
=(248+124+62+31+31)/496
=1
- 3楼网友：迟山
- 2021-02-27 19:20
解1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496
=（1/2+1/4+1/8+1/16)×16/16+(1/31+1/62+1/124+1/248+1/496 ）×496/496
=（8+4+2+1）/16+(16+8+4+2+1）/496
=15/16+31/496
=15/16+1/16
=1
=（1/2+1/4+1/8+1/16)×16/16+(1/31+1/62+1/124+1/248+1/496 ）×496/496
=（8+4+2+1）/16+(16+8+4+2+1）/496
=15/16+31/496
=15/16+1/16
=1
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