简便运算，1+3+5+7+..+97+99=？，不只需要凑整数法
=2（1/1*3+1/3*5+1/5*7+1/7*9+……+1/97*99）
=2*1/2（1/1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+……+1/97-1/99）
=1-1/99
=98/99
不知道你有没学过1/1*2=1/1-1/2这种方法不
你可以推出 1/1*3=1/2*（1/1-1/3）
=(3-1)/1*3+(5-3)/3*5+(7-5)/5*7+……+（99-97）/97*99
=1-1/3+1/3-1/5+1/5-1/7+……-1/97+1/97-1/99
=1-1/99
=98/99。本回答被网友采纳
2\/1*3+2\/3*5+2\/5*7+2\/7*9+……+2\/97*99的简便运算
2\/1*3+2\/3*5+2\/5*7+2\/7*9+……+2\/97*99 =2（1\/1*3+1\/3*5+1\/5*7+1\/7*9+……+1\/97*99）=2*1\/2（1\/1-1\/3+1\/3-1\/5+1\/5-1\/7+1\/7-1\/9+……+1\/97-1\/99）=1-1\/99 =98\/99 不知道你有没学过1\/1*2=1\/1-1\/2这种方法不 你可以推出 1\/1*3=1\/2*...
2\/1*3+2\/3*5+2\/5*7+2\/7*9+……+2\/97*99的简便运算
2\/1*3+2\/3*5+2\/5*7+2\/7*9+……+2\/97*99 =2（1\/1*3+1\/3*5+1\/5*7+1\/7*9+……+1\/97*99）=2*1\/2（1\/1-1\/3+1\/3-1\/5+1\/5-1\/7+1\/7-1\/9+……+1\/97-1\/99）=1-1\/99 =98\/99 不知道你有没学过1\/1*2=1\/1-1\/2这种方法不 你可以推出 1\/1*3=1\/2*...
谁知道2\/1x3+2\/3x5+2\/5x7+2\/7x9+.+2\/97x99的答案?要用简便方法
您好：2\/1x3+2\/3x5+2\/5x7+2\/7x9+.+2\/97x99 =1-1\/3+1\/3-1\/5+1\/5-1\/7+1\/7-1\/9+.+1\/97-1\/99 =1-1\/99 =98\/99 如果本题有什么不明白可以追问,如果满意请点击右下角“采纳为满意回答”如果有其他问题请采纳本题后,另外发并点击我的头像向我求助,答题不易,请谅解,谢谢.O(...
2\/1×3+2\/3×5+2\/5×7+...+2\/97×99咋算
解答：2\/1×3+2\/3×5+2\/5×7+...+2\/97×99 =(1\/1-1\/3)+(1\/3-1\/5)+(1\/5-1\/7)+...+(1\/97-1\/99)=1-1\/99 =98\/99
简算题:2\/1*3+2\/3*5+2\/5*7+...+2\/97*99
2\/3=1-1\/3 2\/15=1\/3-1\/5 2\/35=1\/5-1\/7..所以原式=（1\/1-1\/3）+(1\/3-1\/5)+（1\/5-1\/7）+.（1\/95-1\/97）+（1\/97-1\/99）=1\/1+（-1\/3+1\/3）+（-1\/5+1\/5）-1\/7+.1\/95+（-1\/97+1\/97）-1\/99 =1\/1-1\/99 =98\/99.
小学数学题:计算2\/1*3+2\/3*5+2\/5*7+.2\/97*99等于多少?(急须过程和答案...
2\/1*3+2\/3*5+2\/5*7+2\/7*9+……+2\/97*99 用裂项法 2\/1*3+2\/3*5+2\/5*7+2\/7*9+……+2\/97*99 =1-1\/3+1\/3-1\/5+...+1\/97-1\/99 =1-1\/99 =98\/99 2\/1×3＋2\/3×5＋2\/5×7＋2\/7×9＋...＋2\/97×99 类型题. 2\/1×3＋2\/3×5＋2\/5×...
2\/1×3+2\/3×5+2\/5×7+…+2\/97×99=?
2\/1×3+2\/3×5+2\/5×7+...+2\/97×99=(1\/1-1\/3)+(1\/3-1\/5)+(1\/5-1\/7)+...+(1\/97-1\/99)=1-1\/99=98\/99
2\/1*3+2\/3*5+2\/5*7+……+2\/97*99=
原式=(1\/1-1\/3)+(1\/3-1\/5)+(1\/5-1\/7)+...(1\/95-1\/97)+(1\/97-1\/99)=1\/1+(-1\/3+1\/3)+(-1\/5+1\/5)-1\/7+...1\/95+(-1\/97+1\/97)-1\/99=1\/1-1\/99=98\/99 求采纳!!! 追问 谢谢! 回答 采纳呗 评论| lslslm |来自团队追逐青春 |七级采纳率48% 擅长:教育\/科学足球化...
2\/1x3 + 2\/3x5 + 2\/5x7 +···+ 2\/97x99 + 2\/99x101 简便计算
2\/1x3 + 2\/3x5 + 2\/5x7 +···+ 2\/97x99 + 2\/99x101 =1-1\/3+1\/3-1\/5+1\/5-1\/7+……+1\/97-1\/99+1\/99-1\/101 =1-1\/101 =100\/101
2\/1x3+2\/3x5+2\/5x7+...+2\/97x99
2\/1x3+2\/3x5+2\/5x7+...+2\/97x99 =1-(1\/3)+(1\/3)-(1\/5)+(1\/5)-(1\/7)+……+(1\/97)-(1\/99)=1-(1\/99)=98\/99
