10*10^3*5+36*10^4*2/36*10^9+10*10^3 eching

$$\frac { 10 \times 10 ^ { 3 } \times 5 + 36 \times 10 ^ { 4 } \times 2 } { 36 \times 10 ^ { 9 } + 10 \times 10 ^ { 3 } }$$

Baholash

$$\frac{77}{3600001}\approx 0,000021389$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$\frac{10^{4}\times 5+36\times 10^{4}\times 2}{36\times 10^{9}+10\times 10^{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$\frac{10^{4}\times 5+36\times 10^{4}\times 2}{36\times 10^{9}+10^{4}}$$

4 daraja ko‘rsatkichini 10 ga hisoblang va 10000 ni qiymatni oling.

$$\frac{10000\times 5+36\times 10^{4}\times 2}{36\times 10^{9}+10^{4}}$$

50000 hosil qilish uchun 10000 va 5 ni ko'paytirish.

$$\frac{50000+36\times 10^{4}\times 2}{36\times 10^{9}+10^{4}}$$

4 daraja ko‘rsatkichini 10 ga hisoblang va 10000 ni qiymatni oling.

$$\frac{50000+36\times 10000\times 2}{36\times 10^{9}+10^{4}}$$

360000 hosil qilish uchun 36 va 10000 ni ko'paytirish.

$$\frac{50000+360000\times 2}{36\times 10^{9}+10^{4}}$$

720000 hosil qilish uchun 360000 va 2 ni ko'paytirish.

$$\frac{50000+720000}{36\times 10^{9}+10^{4}}$$

770000 olish uchun 50000 va 720000'ni qo'shing.

$$\frac{770000}{36\times 10^{9}+10^{4}}$$

9 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000 ni qiymatni oling.

$$\frac{770000}{36\times 1000000000+10^{4}}$$

36000000000 hosil qilish uchun 36 va 1000000000 ni ko'paytirish.

$$\frac{770000}{36000000000+10^{4}}$$

4 daraja ko‘rsatkichini 10 ga hisoblang va 10000 ni qiymatni oling.

$$\frac{770000}{36000000000+10000}$$

36000010000 olish uchun 36000000000 va 10000'ni qo'shing.

$$\frac{770000}{36000010000}$$

\frac{770000}{36000010000} ulushini 10000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{77}{3600001}$$

Omil

$$\frac{7 \cdot 11}{3600001} = 2,1388882947532513 \times 10^{-5}$$