1=21/4*4/9*(-3)+|-21/2|+(-37)-|-27|-|-(+71/2)| eching

$$1 = 2 \frac { 1 } { 4 } \times \frac { 4 } { 9 } \times ( - 3 ) + | - 2 \frac { 1 } { 2 } | + ( - 37 ) - | - 27 | - | - ( + 7 \frac { 1 } { 2 } ) |$$

Tasdiqlamoq

Yechim qadamlari

Tenglamaning ikkala tarafini 36 ga, 4,9 ning eng kichik karralisiga ko‘paytiring.

$$36=36\left(\frac{2\times 4+1}{4}\times \frac{4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$36=36\left(\frac{8+1}{4}\times \frac{4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

9 olish uchun 8 va 1'ni qo'shing.

$$36=36\left(\frac{9}{4}\times \frac{4}{9}\left(-3\right)+|-\frac{2\times 2+1}{2}|-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

\frac{9}{4} va uning teskari kasrini \frac{4}{9} ni qisqartiring.

$$36=36\left(-3+|-\frac{2\times 2+1}{2}|-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$36=36\left(-3+|-\frac{4+1}{2}|-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

5 olish uchun 4 va 1'ni qo'shing.

$$36=36\left(-3+|-\frac{5}{2}|-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -\frac{5}{2} ning mutloq qiymati \frac{5}{2} ga teng.

$$36=36\left(-3+\frac{5}{2}-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

-3 ni -\frac{6}{2} kasrga o‘giring.

$$36=36\left(-\frac{6}{2}+\frac{5}{2}-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

-\frac{6}{2} va \frac{5}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$36=36\left(\frac{-6+5}{2}-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

-1 olish uchun -6 va 5'ni qo'shing.

$$36=36\left(-\frac{1}{2}-37-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

37 ni \frac{74}{2} kasrga o‘giring.

$$36=36\left(-\frac{1}{2}-\frac{74}{2}-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

-\frac{1}{2} va \frac{74}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$36=36\left(\frac{-1-74}{2}-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

-75 olish uchun -1 dan 74 ni ayirish.

$$36=36\left(-\frac{75}{2}-|-27|\right)-36|-\frac{7\times 2+1}{2}|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -27 ning mutloq qiymati 27 ga teng.

$$36=36\left(-\frac{75}{2}-27\right)-36|-\frac{7\times 2+1}{2}|$$

27 ni \frac{54}{2} kasrga o‘giring.

$$36=36\left(-\frac{75}{2}-\frac{54}{2}\right)-36|-\frac{7\times 2+1}{2}|$$

-\frac{75}{2} va \frac{54}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$36=36\times \frac{-75-54}{2}-36|-\frac{7\times 2+1}{2}|$$

-129 olish uchun -75 dan 54 ni ayirish.

$$36=36\left(-\frac{129}{2}\right)-36|-\frac{7\times 2+1}{2}|$$

36\left(-\frac{129}{2}\right) ni yagona kasrga aylantiring.

$$36=\frac{36\left(-129\right)}{2}-36|-\frac{7\times 2+1}{2}|$$

-4644 hosil qilish uchun 36 va -129 ni ko'paytirish.

$$36=\frac{-4644}{2}-36|-\frac{7\times 2+1}{2}|$$

-2322 ni olish uchun -4644 ni 2 ga bo‘ling.

$$36=-2322-36|-\frac{7\times 2+1}{2}|$$

14 hosil qilish uchun 7 va 2 ni ko'paytirish.

$$36=-2322-36|-\frac{14+1}{2}|$$

15 olish uchun 14 va 1'ni qo'shing.

$$36=-2322-36|-\frac{15}{2}|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -\frac{15}{2} ning mutloq qiymati \frac{15}{2} ga teng.

$$36=-2322-36\times \frac{15}{2}$$

36\times \frac{15}{2} ni yagona kasrga aylantiring.

$$36=-2322-\frac{36\times 15}{2}$$

540 hosil qilish uchun 36 va 15 ni ko'paytirish.

$$36=-2322-\frac{540}{2}$$

270 ni olish uchun 540 ni 2 ga bo‘ling.

$$36=-2322-270$$

-2592 olish uchun -2322 dan 270 ni ayirish.

$$36=-2592$$

36 va -2592 ni taqqoslang.

$$\text{false}$$