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8. Eng kichik o'lchov birligiga o'tkazib hisoblang. \( (3 \mathrm{~km} 282 \mathrm{~m}+6 \mathrm{~km} 126 \mathrm{~m}): 12-234 \mathrm{~m} 7 \mathrm{dm} \) \( 4:(8 \mathrm{~m} 6 \mathrm{dm} 2 \mathrm{~cm}-2 \mathrm{~m} 17 \mathrm{~cm})+24 \mathrm{dm} 1 \mathrm{~cm} \)

Ask by Washington Robbins. in Uzbekistan
Jan 20,2025

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Answer

Birinchi ifoda: 541.8 metr Ikkinchi ifoda: 3.03 metr

Solution

Berilgan ifodalarni kichik o'lchov birligiga o'tkazib hisoblaymiz. Kichik o'lchov birligi sifatida metrni (m) tanlaymiz. 1. **Birinchi ifoda:** \[ (3 \mathrm{~km} 282 \mathrm{~m}+6 \mathrm{~km} 126 \mathrm{~m}): 12-234 \mathrm{~m} 7 \mathrm{dm} \] - 1 km = 1000 m, shuning uchun: - \(3 \mathrm{~km} = 3 \times 1000 = 3000 \mathrm{~m}\) - \(6 \mathrm{~km} = 6 \times 1000 = 6000 \mathrm{~m}\) - \(7 \mathrm{dm} = 0.7 \mathrm{~m}\) (1 dm = 0.1 m) - Endi ifodani o'zgartiramiz: \[ (3000 \mathrm{~m} + 282 \mathrm{~m} + 6000 \mathrm{~m} + 126 \mathrm{~m}): 12 - (234 \mathrm{~m} + 0.7 \mathrm{~m}) \] - Hisoblaymiz: \[ 3000 + 282 + 6000 + 126 = 9318 \mathrm{~m} \] \[ 234 + 0.7 = 234.7 \mathrm{~m} \] \[ 9318 \mathrm{~m} : 12 - 234.7 \mathrm{~m} \] - Endi 12 ni hisoblaymiz: \[ 9318 \mathrm{~m} : 12 = 776.5 \mathrm{~m} \] \[ 776.5 \mathrm{~m} - 234.7 \mathrm{~m} = 541.8 \mathrm{~m} \] 2. **Ikkinchi ifoda:** \[ 4:(8 \mathrm{~m} 6 \mathrm{dm} 2 \mathrm{~cm}-2 \mathrm{~m} 17 \mathrm{~cm})+24 \mathrm{dm} 1 \mathrm{~cm} \] - Kichik o'lchov birligiga o'tkazamiz: - \(8 \mathrm{~m} = 8 \mathrm{~m}\) - \(6 \mathrm{dm} = 0.6 \mathrm{~m}\) - \(2 \mathrm{cm} = 0.02 \mathrm{~m}\) - \(2 \mathrm{~m} = 2 \mathrm{~m}\) - \(17 \mathrm{cm} = 0.17 \mathrm{~m}\) - \(24 \mathrm{dm} = 2.4 \mathrm{~m}\) - \(1 \mathrm{cm} = 0.01 \mathrm{~m}\) - Endi ifodani o'zgartiramiz: \[ 4 : ((8 + 0.6 + 0.02) - (2 + 0.17)) + (2.4 + 0.01) \] - Hisoblaymiz: \[ 8 + 0.6 + 0.02 = 8.62 \mathrm{~m} \] \[ 2 + 0.17 = 2.17 \mathrm{~m} \] \[ 8.62 - 2.17 = 6.45 \mathrm{~m} \] \[ 4 : 6.45 + 2.4 + 0.01 \] - Hisoblaymiz: \[ 4 : 6.45 = 0.6207 \] \[ 0.6207 + 2.4 + 0.01 = 3.0307 \] Natijalar: 1. Birinchi ifoda: \(541.8 \mathrm{~m}\) 2. Ikkinchi ifoda: \(3.0307\) (ya'ni \(3.03\) m)

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Birinchi ifodani hisoblash uchun, avval 3 km 282 m va 6 km 126 m ni umumiy metrlarga o'tkazamiz. 3 km 282 m = 3282 m, 6 km 126 m = 6126 m. Shuningdek, 12-234 m 7 dm = 12.234 m. Endi ifodani quyidagicha yechamiz: \( (3282 + 6126) / 12.234 \). Natija 2 marta 8.6 m 2 cm ni metrlarga o’tkazing: \( 8.6 m 2 cm - 2m 17cm \) (8.6 m - 2m 0.17 m = 6.43m). 4 ni 6.43 ga bo'lib, natijaga 24 dm 1 cm qo'shing. Mantiqiy yondoshish bilan jarayonni qulaylik bilan hal qilish mumkin. Dastlab, barcha o'lchovlarni bir xil birlikka o'tkazing va keyingi hisob-kitoblarni yuzaga keltiring. Ko'plab o'lchov birligi o'zaro bog'langanda, natijani yuzaga keltirish oson bo'ladi - ixcham uslubda ish tuting!

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