Ratkaise 10^210/10^10+3

$$\frac { 10 ^ { 210 } } { 10 ^ { 10 } + 3 }$$

Laske

$$\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{10000000003}\approx 9,999999997 \cdot 10^{199}$$

Ratkaisun vaiheet

Laske 10 potenssiin 210, jolloin ratkaisuksi tulee 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{10^{10}+3}$$

Laske 10 potenssiin 10, jolloin ratkaisuksi tulee 10000000000.

$$\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{10000000000+3}$$

Selvitä 10000000003 laskemalla yhteen 10000000000 ja 3.

$$\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{10000000003}$$

Jaa tekijöihin

$$\frac{2 ^ {210} \cdot 5 ^ {210}}{7 \cdot 1428571429} = 9,999999997 \times 10^{199}\frac{8080475253}{10000000003} = 9,999999997 \times 10^{199}$$