Lutasin ang 3/116-10^-19

$$\frac{ 3 }{ 116- { 10 }^{ -19 } }$$

I-evaluate

$$\frac{30000000000000000000}{1159999999999999999999}\approx 0.025862069$$

Mga Hakbang ng Solution

Kalkulahin ang 10 sa power ng -19 at kunin ang \frac{1}{10000000000000000000}.

$$\frac{3}{116-\frac{1}{10000000000000000000}}$$

I-subtract ang \frac{1}{10000000000000000000} mula sa 116 para makuha ang \frac{1159999999999999999999}{10000000000000000000}.

$$\frac{3}{\frac{1159999999999999999999}{10000000000000000000}}$$

I-divide ang 3 gamit ang \frac{1159999999999999999999}{10000000000000000000} sa pamamagitan ng pagmu-multiply sa 3 gamit ang reciprocal ng \frac{1159999999999999999999}{10000000000000000000}.

$$3\times \frac{10000000000000000000}{1159999999999999999999}$$

I-multiply ang 3 at \frac{10000000000000000000}{1159999999999999999999} para makuha ang \frac{30000000000000000000}{1159999999999999999999}.

$$\frac{30000000000000000000}{1159999999999999999999}$$

I-factor

$$\frac{2 ^ {19} \cdot 3 \cdot 5 ^ {19}}{19 ^ {2} \cdot 1408206557 \cdot 2281835987} = 0.02586206896551724$$