602° Вправа 602Алгебра 8 клас Тарасенкова 2025 · § 14 · стор. 176

602. Порівняйте числа:

1) ${\displaystyle 4,105}$ і ${\displaystyle 5,01}$; ${\displaystyle 4,105<5,01}$;

2) ${\displaystyle 3,056}$ і ${\displaystyle 3,0\left(5\right)=}$${\displaystyle 3,0555\dots }$; ${\displaystyle 3,056>3,0\left(5\right)}$;

3) ${\displaystyle 5,1412}$ і ${\displaystyle 5,\left(14\right)=}$${\displaystyle 5,141414\dots }$; ${\displaystyle 5,1412<5,\left(14\right)}$;

4) ${\displaystyle 3,056}$ і ${\displaystyle 3,0\left(6\right)=}$${\displaystyle 3,0666\dots }$; ${\displaystyle 3,056<3,0\left(6\right)}$;

5) ${\displaystyle 10}$ і ${\displaystyle 9,\left(9\right)=}$${\displaystyle 9+0,\left(9\right)=}$${\displaystyle 9+3\cdot 0,\left(3\right)=}$${\displaystyle 9+3\cdot \frac{1}{3}=}$${\displaystyle 9+1=}$${\displaystyle 10}$; ${\displaystyle 10=}$${\displaystyle 9,\left(9\right)}$;

6) ${\displaystyle 4,3\left(4\right)=}$${\displaystyle 4,3444\dots }$ і ${\displaystyle 4,4\left(3\right)=}$${\displaystyle 4,4333\dots }$; ${\displaystyle 4,3\left(4\right)<4,4\left(3\right)}$;

7) ${\displaystyle 0,0\left(5\right)=}$${\displaystyle 0,0555\dots }$ і ${\displaystyle 1,00\left(5\right)=}$${\displaystyle 1,00555\dots }$; ${\displaystyle 0,0\left(5\right)<1,00\left(5\right)}$;

8) ${\displaystyle 3,056}$ і ${\displaystyle 3,0\left(5\right)=}$${\displaystyle 3,0555\dots }$; ${\displaystyle 3,056>3,0\left(5\right)}$.