608 Вправа 608Алгебра 8 клас Тарасенкова 2025 · § 14 · стор. 177

608. Порівняйте числа:

1) ${\displaystyle 0,\left(8\right)=}$${\displaystyle 0,888\dots }$; ${\displaystyle \frac{3}{8}=}$${\displaystyle 0,375}$;

${\displaystyle 0,888\dots >0,375}$, отже, ${\displaystyle 0,\left(8\right)>\frac{3}{8}}$;

2) ${\displaystyle \frac{5}{9}=}$${\displaystyle 0,555\dots =}$${\displaystyle 0,\left(5\right)}$, отже, ${\displaystyle 0,\left(5\right)=}$${\displaystyle \frac{5}{9}}$;

3) ${\displaystyle 0,\left(18\right)=}$${\displaystyle 0,1818\dots }$; ${\displaystyle \frac{1}{11}=}$${\displaystyle 0,0909\dots }$;

${\displaystyle 0,1818\dots >0,0909\dots }$, отже, ${\displaystyle 0,\left(18\right)>\frac{1}{11}}$;

4) ${\displaystyle 0,\left(6\right)=}$${\displaystyle 0,666\dots }$; ${\displaystyle \frac{3}{5}=}$${\displaystyle 0,6}$;

${\displaystyle 0,666\dots >0,6}$, отже, ${\displaystyle 0,\left(6\right)>\frac{3}{5}}$;

5) ${\displaystyle 0,08\left(3\right)=}$${\displaystyle 0,08333\dots }$; ${\displaystyle \frac{1}{6}=}$${\displaystyle 0,1666\dots }$;

${\displaystyle 0,08333\dots <0,1666\dots }$, отже, ${\displaystyle 0,08\left(3\right)<\frac{1}{6}}$;

6) ${\displaystyle 0,\left(2\right)=}$${\displaystyle 0,222\dots }$; ${\displaystyle \frac{1}{3}=}$${\displaystyle 0,333\dots }$;

${\displaystyle 0,222\dots <0,333\dots }$, отже, ${\displaystyle 0,\left(2\right)<\frac{1}{3}}$.