493 Вправа 493Алгебра 8 клас Бевз 2025 · § 10 · стор. 98

493. Вирази:

${\displaystyle 1{\text{м}}^2=}$${\displaystyle 10^4\text{с}{\text{м}}^2}$;

${\displaystyle 1\text{к}{\text{м}}^2=}$${\displaystyle 10^6{\text{м}}^2}$;

${\displaystyle 1{\text{м}}^3=}$${\displaystyle 10^6\text{с}{\text{м}}^3}$;

${\displaystyle 1\text{к}{\text{м}}^3=}$${\displaystyle 10^9{\text{м}}^3}$.

а) ${\displaystyle 2,5\cdot 10^3{\text{м}}^2=}$${\displaystyle 2,5\cdot 10^3\cdot 10^4\text{с}{\text{м}}^2=}$${\displaystyle 2,5\cdot 10^7\text{с}{\text{м}}^2}$;

${\displaystyle 2,5\cdot 10^3{\text{м}}^2}$=

=${\displaystyle 2,5\cdot 10^3:10^6\text{к}{\text{м}}^2=}$${\displaystyle 2,5\cdot 10^{-3}\text{к}{\text{м}}^2}$;

б) ${\displaystyle 3,7\cdot 10^2{\text{м}}^3=}$${\displaystyle 3,7\cdot 10^2\cdot 10^6\text{с}{\text{м}}^3=}$${\displaystyle 3,7\cdot 10^8\text{с}{\text{м}}^3}$;

${\displaystyle 3,7\cdot 10^2{\text{м}}^3}$=

=${\displaystyle 3,7\cdot 10^2:10^9\text{к}{\text{м}}^3=}$${\displaystyle 3,7\cdot 10^{-7}\text{к}{\text{м}}^3}$.