Lutasin ang (1/238*6.022*10^23)*200

$$( \frac{ 1 }{ 238 } \times 6.022 \times { 10 }^{ 23 } ) \times 200$$

I-evaluate

$$\frac{60220000000000000000000000}{119}\approx 5.060504202 \cdot 10^{23}$$

Mga Hakbang ng Solution

I-convert ang decimal number na 6.022 sa fraction na \frac{6022}{1000}. Bawasan ang fraction \frac{6022}{1000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 2.

$$\frac{1}{238}\times \frac{3011}{500}\times 10^{23}\times 200$$

I-multiply ang \frac{1}{238} sa \frac{3011}{500} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

$$\frac{1\times 3011}{238\times 500}\times 10^{23}\times 200$$

Gawin ang mga multiplication sa fraction na \frac{1\times 3011}{238\times 500}.

$$\frac{3011}{119000}\times 10^{23}\times 200$$

Kalkulahin ang 10 sa power ng 23 at kunin ang 100000000000000000000000.

$$\frac{3011}{119000}\times 100000000000000000000000\times 200$$

Ipakita ang \frac{3011}{119000}\times 100000000000000000000000 bilang isang single fraction.

$$\frac{3011\times 100000000000000000000000}{119000}\times 200$$

I-multiply ang 3011 at 100000000000000000000000 para makuha ang 301100000000000000000000000.

$$\frac{301100000000000000000000000}{119000}\times 200$$

Bawasan ang fraction \frac{301100000000000000000000000}{119000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 1000.

$$\frac{301100000000000000000000}{119}\times 200$$

Ipakita ang \frac{301100000000000000000000}{119}\times 200 bilang isang single fraction.

$$\frac{301100000000000000000000\times 200}{119}$$

I-multiply ang 301100000000000000000000 at 200 para makuha ang 60220000000000000000000000.

$$\frac{60220000000000000000000000}{119}$$

I-factor

$$\frac{3011 \cdot 2 ^ {23} \cdot 5 ^ {22}}{7 \cdot 17} = 5.060504201680672 \times 10^{23}\frac{100}{119} = 5.060504201680672 \times 10^{23}$$