Ratkaise (1/238*6022*10^23)*200

$$( \frac{ 1 }{ 238 } \times 6022 \times { 10 }^{ 23 } ) \times 200$$

Laske

$$\frac{60220000000000000000000000000}{119}\approx 5,060504202 \cdot 10^{26}$$

Ratkaisun vaiheet

Kerro \frac{1}{238} ja 6022, niin saadaan \frac{6022}{238}.

$$\frac{6022}{238}\times 10^{23}\times 200$$

Supista murtoluku \frac{6022}{238} luvulla 2.

$$\frac{3011}{119}\times 10^{23}\times 200$$

Laske 10 potenssiin 23, jolloin ratkaisuksi tulee 100000000000000000000000.

$$\frac{3011}{119}\times 100000000000000000000000\times 200$$

Ilmaise \frac{3011}{119}\times 100000000000000000000000 säännöllisenä murtolukuna.

$$\frac{3011\times 100000000000000000000000}{119}\times 200$$

Kerro 3011 ja 100000000000000000000000, niin saadaan 301100000000000000000000000.

$$\frac{301100000000000000000000000}{119}\times 200$$

Ilmaise \frac{301100000000000000000000000}{119}\times 200 säännöllisenä murtolukuna.

$$\frac{301100000000000000000000000\times 200}{119}$$

Kerro 301100000000000000000000000 ja 200, niin saadaan 60220000000000000000000000000.

$$\frac{60220000000000000000000000000}{119}$$

Jaa tekijöihin

$$\frac{2 ^ {26} \cdot 5 ^ {25} \cdot 3011}{7 \cdot 17} = 5,060504201680673 \times 10^{26}\frac{62}{119} = 5,060504201680673 \times 10^{26}$$