第39页

信息发布者:

解:
​$\begin {aligned}&(-3.9)+(-5.4)+(-1.1)+(+5.4)\\=&(-3.9 - 1.1)+(-5.4 + 5.4)\\=&-5+0\\=& - 5\end {aligned}$​
解:
​$\begin {aligned}&-99\frac {81}{82}\div \frac {1}{41}\\=&(-100+\frac {1}{82})×41\\=&-100×41+\frac {1}{82}×41\\=&-4100+\frac {1}{2}\\=&-4099\frac {1}{2}\end {aligned}$​
解:
​$\begin {aligned}&(-\frac {1}{24})\div (\frac {3}{4}-\frac {5}{6}+\frac {2}{3})\\=&(-\frac {1}{24})\div (\frac {9}{12}-\frac {10}{12}+\frac {8}{12})\\=&(-\frac {1}{24})\div \frac {7}{12}\\=&(-\frac {1}{24})×\frac {12}{7}\\=&-\frac {1}{14}\end {aligned}$​
解:
​$\begin {aligned}&-7\div \frac {7}{22}+26×(-\frac {22}{7})-2×3\frac {1}{7}\\=&-7×\frac {22}{7}+26×(-\frac {22}{7})-2×\frac {22}{7}\\=&(-7 - 26 - 2)×\frac {22}{7}\\=&(-35)×\frac {22}{7}\\=&-110\end {aligned}$​
$\frac{1}{4}$
$\frac{4}{3}$
$-3$
解:​$(2)$​根据​$a_{1} = - 3,$​​$a_{2}=\frac {1}{4},$​​$a_{3}=\frac {4}{3},$​​$a_{4} = - 3,$​···,
可知​$a_{1},a_{2},a_{3},$​···,这列数每三个数为一个循环。
​$ $​因为​$2026\div 3 = 675...1,$​​$a_{1} + a_{2} + a_{3}=-3+\frac {1}{4}+\frac {4}{3}=-\frac {17}{12},$​
​$ $​所以​$-\frac {17}{12}×675 = -\frac {3825}{4}。$​
​$ $​所以​$a_{1} + a_{2} + a_{3} + a_{4}+...+a_{2023}+a_{2024}+a_{2025}+a_{2026}=-\frac {3825}{4}+(-3)=-\frac {3837}{4}。$​