Question
1. Hisoblang: \( 31 \cdot 27-28 \cdot 27+27 \cdot 23-24 \cdot 23+23 \cdot 19-20 \cdot 19 \). A) 202 . B) 206 . C.) 207. D) 209 .
Ask by Park Reyes. in Uzbekistan
Jan 20,2025
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Answer
To'g'ri javob: C) 207
Solution
Berilgan ifodani hisoblaylik:
\[ 31 \times 27 - 28 \times 27 + 27 \times 23 - 24 \times 23 + 23 \times 19 - 20 \times 19 \]
Avval har bir qismini guruhlaymiz va umumiy omilni ajratamiz:
\[ 27 \times (31 - 28) + 23 \times (27 - 24) + 19 \times (23 - 20) \]
Hisoblaymiz:
\[ 27 \times 3 + 23 \times 3 + 19 \times 3 = 3 \times (27 + 23 + 19) \]
\[ 3 \times 69 = 207 \]
Demak, to'g'ri javob:
**C) 207**
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Simplify this solution The Deep Dive
Haqiqatan, bu ifodani hisoblash örtichidan ko'rinib turibdi! Avval har bir ko'paytmaning natijalarini ajrataylik: 1. \(31 \cdot 27 = 837\) 2. \(28 \cdot 27 = 756\) 3. \(27 \cdot 23 = 621\) 4. \(24 \cdot 23 = 552\) 5. \(23 \cdot 19 = 437\) 6. \(20 \cdot 19 = 380\) Endi bu natijalarni qadam-qadam hisoblaymiz: \(837 - 756 + 621 - 552 + 437 - 380 = 207\). Shunday qilib, to'g'ri javob C) 207. Hisoblashingizda qandaydir usullarni sinchiklab ko'rishingiz muhimdir, chunki ko'paytma va ayirmalarni to'g'ri tartibda bajarishni unutmaslik zarur! Har doim natijalar bo'yicha qayta ko'zdan kechirishni unutmang, bu sizni noto'g'ri javoblardan saqlaydi.
