电子课本网 第43页

第43页

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1
5
$​-\frac {1}{3}​$
$​=-5+8÷4+\frac {1}{8}×(-16)+\frac {1}{4}×(-16)-\frac {1}{2}×(-16)​$
$​=-5+2-2-4+8​$
$​=-1​$
$=(100-\frac {1}{17})×(-17)$
$=100×(-17)- \frac {1}{17}×(-17)$
$=-1700+1$
$=-1699$
​$=-|8×(-8)|-(\frac {1}{16}×16)^3$​
​$=-64-1$​
​$= -65$​
$​=(\frac {3}{5}-\frac {1}{2}-\frac {7}{12})×60× (\frac {1}{7}-\frac {3}{7}-\frac {5}{7})​$
$​= (\frac {3}{5}-\frac {1}{2}-\frac {7}{12})×(-60)​$
$​=\frac {3}{5}×(-60)-\frac {1}{2}×(-60)-\frac {7}{12}×(-60)​$
$​=-36+30+35​$
$​=29​$
16
$ 解:​(2)​∵​2△3=2×2=4​$
$∴​(2△3)△(-5)=4△(-5)=(-5)^2=25​$
$​\frac {1}{n}-\frac {1}{n+1}​$
$​\frac {2021}{2022}​$
$解:​(3) ​原式​ = \frac {1}{2} × (\frac {1}{2}-\frac {1}{4}+\frac {1}{4}-\frac {1}{6}+\frac {1}{6}- \frac {1}{8}+···+\frac {1}{2022}-\frac {1}{2024})​$
$​=\frac {1}{2} × (\frac {1}{2}-\frac {1}{2024})​$
$​=\frac {1}{2} ×\frac {1011}{2024}​$
$​=\frac {1011}{4048}​$