1097*10^7*(1/4-1/9) eching

$$1097 \times { 10 }^{ 7 } \times ( \frac{ 1 }{ 4 } - \frac{ 1 }{ 9 } )$$

Baholash

$$\frac{13712500000}{9}\approx 1523611111,111111111$$

Yechim qadamlari

7 daraja ko‘rsatkichini 10 ga hisoblang va 10000000 ni qiymatni oling.

$$1097\times 10000000\left(\frac{1}{4}-\frac{1}{9}\right)$$

10970000000 hosil qilish uchun 1097 va 10000000 ni ko'paytirish.

$$10970000000\left(\frac{1}{4}-\frac{1}{9}\right)$$

4 va 9 ning eng kichik umumiy karralisi 36 ga teng. \frac{1}{4} va \frac{1}{9} ni 36 maxraj bilan kasrlarga aylantirib oling.

$$10970000000\left(\frac{9}{36}-\frac{4}{36}\right)$$

\frac{9}{36} va \frac{4}{36} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$10970000000\times \frac{9-4}{36}$$

5 olish uchun 9 dan 4 ni ayirish.

$$10970000000\times \frac{5}{36}$$

10970000000\times \frac{5}{36} ni yagona kasrga aylantiring.

$$\frac{10970000000\times 5}{36}$$

54850000000 hosil qilish uchun 10970000000 va 5 ni ko'paytirish.

$$\frac{54850000000}{36}$$

\frac{54850000000}{36} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{13712500000}{9}$$

Omil

$$\frac{2 ^ {5} \cdot 5 ^ {8} \cdot 1097}{3 ^ {2}} = 1523611111\frac{1}{9} = 1523611111,1111112$$