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12. Hisoblang. \( 846900:((756+436): 4-289) \) ning \( \frac{3}{4} \) qismini; \( 2543 \cdot 184+29412:(65722-65646) \cdot 73+37 \) ning \( \frac{1}{100} \) qismini.

Ask by Perkins Coleman. in Uzbekistan
Jan 21,2025

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**12. Рассчитайте.** 1. \( \frac{3}{4} \) часть выражения \( 846900 : ((756 + 436) : 4 - 289) \) равна **70 500**. 2. \( \frac{1}{100} \) часть выражения \( 2543 \cdot 184 + 29412 : (65722 - 65646) \cdot 73 + 37 \) равна **4 962**.

Solution

**12. Рассчитайте.** 1. **Вычислим \( \frac{3}{4} \) часть выражения \( 846900 : ((756 + 436) : 4 - 289) \).** \[ \begin{align*} &756 + 436 = 1192 \\ &1192 \div 4 = 298 \\ &298 - 289 = 9 \\ &846900 \div 9 = 94000 \\ &\frac{3}{4} \times 94000 = 70500 \\ \end{align*} \] **Ответ:** 70 500 2. **Вычислим \( \frac{1}{100} \) часть выражения \( 2543 \cdot 184 + 29412 : (65722 - 65646) \cdot 73 + 37 \).** \[ \begin{align*} &65722 - 65646 = 76 \\ &29412 \div 76 = 387 \\ &387 \times 73 = 28251 \\ &2543 \times 184 = 467912 \\ &467912 + 28251 + 37 = 496200 \\ &\frac{1}{100} \times 496200 = 4962 \\ \end{align*} \] **Ответ:** 4 962

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Birinchi ifodani hisoblaymiz: Avval \( 756 + 436 = 1192 \) natijasini olamiz. Keyin \( 1192 : 4 = 298 \) bo'ladi. Keyin esa \( 298 - 289 = 9 \). Endi, \( 846900 : 9 = 94211.11 \) (taxminan). Shundan keyin \( \frac{3}{4} \) qismini olish uchun, \( 94211.11 \cdot \frac{3}{4} = 70658.33 \) natijasiga ega bo'lamiz (taxminan). Keyingi ifodani hisoblaymiz: Birinchidan, \( 2543 \cdot 184 = 467912 \) natijasiga erishamiz. Keyin, \( 65722 - 65646 = 76 \) bo'ladi va \( 29412 : 76 = 387.32 \) (taxminan). Shundan so'ng, \( 387.32 \cdot 73 = 28363.36 \) (taxminan). Natijalarni qo'shadi: \( 467912 + 28363.36 + 37 = 496312.36 \) hisoblaymiz. Olingan natijaning \( \frac{1}{100} \) qismini eritib olamz: \( 496312.36 \cdot \frac{1}{100} = 4963.12 \) (taxminan). Natijalar: \( \frac{3}{4} \) qismini hisoblangan ifoda natijasi: \( 70658.33 \) \( \frac{1}{100} \) qismini hisoblangan ifoda natijasi: \( 4963.12 \)

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