七巧算(计8分,每题4分)-|||-2022/20232024-|||-1-1/2+1/3-1/4+1/5-1/6+1/7-1/
1个回答
关注
展开全部
/8+1/9-1/10 = -0.1002方法:将分母为偶数的有理数改写成两个分母为奇数的有理数相减的形式,即:-1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+1/9-1/10= -1-1/2+(1/3-1/4)+(1/5-1/6)+(1/7-1/8)+(1/9-1/10)= -1-1/2+(1/12)+(1/30)+(1/56)+(1/90)= -1-1/2+383/2520= -1267/1260= -0.1002
咨询记录 · 回答于2024-01-09
七巧算(计8分,每题4分)-|||-2022/20232024-|||-1-1/2+1/3-1/4+1/5-1/6+1/7-1/
您好,这边麻烦发个完整的题目过来,这边方便进行解析
/8+1/9-1/10 = -0.1002
方法:将分母为偶数的有理数改写成两个分母为奇数的有理数相减的形式,
即:-1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+1/9-1/10= -1-1/2+(1/3-1/4)+(1/5-1/6)+(1/7-1/8)+(1/9-1/10)
= -1-1/2+(1/12)+(1/30)+(1/56)+(1/90)
= -1-1/2+383/2520
= -1267/1260
= -0.1002