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
发布网友
发布时间:2022-05-01 09:28
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热心网友
时间:2023-10-10 07:16
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
热心网友
时间:2023-10-10 07:16
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!!
热心网友
时间:2023-10-10 07:17
通分
=(248+124+62+31+16+8+4+2+1)/496
=(248+124+62+31+31)/496
=1