求数学运算简便算法第一题:1/20+1/30+1/42+1/56+1/72+1/90=?第二题:12345679*72=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/30 04:26:16
求数学运算简便算法第一题:1/20+1/30+1/42+1/56+1/72+1/90=?第二题:12345679*72=?

求数学运算简便算法第一题:1/20+1/30+1/42+1/56+1/72+1/90=?第二题:12345679*72=?
求数学运算简便算法
第一题:1/20+1/30+1/42+1/56+1/72+1/90=?
第二题:12345679*72=?

求数学运算简便算法第一题:1/20+1/30+1/42+1/56+1/72+1/90=?第二题:12345679*72=?
1、原式=
(1/4)-(1/5)+(1/5)-(1/6)+(1/6)-(1/7)+(1/7)-(1/8)+(1/8)-(1/9)+(1/9)-(1/10)
=(1/4)-(1/10)
=3/20
2、12345679*72
=12345679*9*8
=111111111*8
=888888888

1、1/20+1/30+1/42+1/56+1/72+1/90
=1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10)
=1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10
=1/4-1/10
=3/20

1、原式=1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10=1/4-1/10=0.15
2、计算器算阿- -就算前面的分解出来你还是要用计算器算。

1/20=1/4 - 1/5
1/30=1/5 - 1/6
.
.
.
1/90=1/9 - 1/10
原题=1/4 - 1/5 + 1/5 - 1/6 +....+ 1/9 - 1/10=1/4 - 1/10=3/20

(1/4)-(1/5)+(1/5)-(1/6)+(1/6)-(1/7)+(1/7)-(1/8)+(1/8)-(1/9)+(1/9)-(1/10) =(1/4)-(1/10) =3/20

12345679*72 =12345679*9*8 =111111111*8 =888888888