Rešite 5(17-10^-8)/2*10^-4

$$\frac { 5 ( 17 - 10 ^ { - 8 } ) } { 2 \times 10 ^ { - 4 } }$$

Ovrednoti

$$\frac{1699999999}{4000}=424999,99975$$

Koraki rešitve

Izračunajte potenco 10 števila -8, da dobite \frac{1}{100000000}.

$$\frac{5\left(17-\frac{1}{100000000}\right)}{2\times 10^{-4}}$$

Odštejte \frac{1}{100000000} od 17, da dobite \frac{1699999999}{100000000}.

$$\frac{5\times \frac{1699999999}{100000000}}{2\times 10^{-4}}$$

Pomnožite 5 in \frac{1699999999}{100000000}, da dobite \frac{1699999999}{20000000}.

$$\frac{\frac{1699999999}{20000000}}{2\times 10^{-4}}$$

Izračunajte potenco 10 števila -4, da dobite \frac{1}{10000}.

$$\frac{\frac{1699999999}{20000000}}{2\times \frac{1}{10000}}$$

Pomnožite 2 in \frac{1}{10000}, da dobite \frac{1}{5000}.

$$\frac{\frac{1699999999}{20000000}}{\frac{1}{5000}}$$

Delite \frac{1699999999}{20000000} s/z \frac{1}{5000} tako, da pomnožite \frac{1699999999}{20000000} z obratno vrednostjo \frac{1}{5000}.

$$\frac{1699999999}{20000000}\times 5000$$

Pomnožite \frac{1699999999}{20000000} in 5000, da dobite \frac{1699999999}{4000}.

$$\frac{1699999999}{4000}$$

Faktoriziraj

$$\frac{2957 \cdot 574907}{2 ^ {5} \cdot 5 ^ {3}} = 424999\frac{3999}{4000} = 424999,99975$$