10. Eng kichik yuz o'lchov birligiga o'tkazib hisoblang $$ 42 \mathrm{dm}^{2} 26 \mathrm{~cm}^{2}-15 \mathrm{dm}^{2} 63 \mathrm{~cm}^{2}+14 \mathrm{dm}^{2} 19 \mathrm{~cm}^{2} $$ $$ 8 \mathrm{~cm}^{2} 1 \mathrm{~mm}^{2}: 9+3 \mathrm{~cm}^{2} 6 \mathrm{~mm}^{2}: 6 $$ $$ 300 \cdot\left(4 \mathrm{dm}^{2}-193 \mathrm{~cm}^{2}\right) $$

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10. Eng kichik yuz o'lchov birligiga, ya'ni **millimetr kvadratiga (mm²)** o'tkazib hisoblash:

### a) $$ 42 \mathrm{dm}^{2}\, 26 \mathrm{cm}^{2} - 15 \mathrm{dm}^{2}\, 63 \mathrm{cm}^{2} + 14 \mathrm{dm}^{2}\, 19 \mathrm{cm}^{2} $$

1. **O'lchovlarni mm² ga o'tkazish:**
   - $$ 1 \, \mathrm{dm}^{2} = 100 \, \mathrm{cm}^{2} $$
   - $$ 1 \, \mathrm{cm}^{2} = 100 \, \mathrm{mm}^{2} $$

2. **Har bir qismini hisoblash:**
   - $$ 42 \, \mathrm{dm}^{2} = 42 \times 100 \times 100 = 420{,}000 \, \mathrm{mm}^{2} $$
   - $$ 26 \, \mathrm{cm}^{2} = 26 \times 100 = 2{,}600 \, \mathrm{mm}^{2} $$
   - **Jami:** $$ 420{,}000 + 2{,}600 = 422{,}600 \, \mathrm{mm}^{2} $$

- $$ 15 \, \mathrm{dm}^{2} = 15 \times 100 \times 100 = 150{,}000 \, \mathrm{mm}^{2} $$
   - $$ 63 \, \mathrm{cm}^{2} = 63 \times 100 = 6{,}300 \, \mathrm{mm}^{2} $$
   - **Jami:** $$ 150{,}000 + 6{,}300 = 156{,}300 \, \mathrm{mm}^{2} $$

- $$ 14 \, \mathrm{dm}^{2} = 14 \times 100 \times 100 = 140{,}000 \, \mathrm{mm}^{2} $$
   - $$ 19 \, \mathrm{cm}^{2} = 19 \times 100 = 1{,}900 \, \mathrm{mm}^{2} $$
   - **Jami:** $$ 140{,}000 + 1{,}900 = 141{,}900 \, \mathrm{mm}^{2} $$

3. **Operatsiyalarni bajarish:**
   $$
   422{,}600 \, \mathrm{mm}^{2} - 156{,}300 \, \mathrm{mm}^{2} + 141{,}900 \, \mathrm{mm}^{2} = 408{,}200 \, \mathrm{mm}^{2}
   $$

### b) $$ 8 \mathrm{cm}^{2}\, 1 \mathrm{mm}^{2} : 9 + 3 \mathrm{cm}^{2}\, 6 \mathrm{mm}^{2} : 6 $$

1. **O'lchovlarni mm² ga o'tkazish:**
   - $$ 8 \, \mathrm{cm}^{2} = 800 \, \mathrm{mm}^{2} $$
   - $$ 1 \, \mathrm{mm}^{2} = 1 \, \mathrm{mm}^{2} $$
   - **Jami:** $$ 800 + 1 = 801 \, \mathrm{mm}^{2} $$

- $$ 3 \, \mathrm{cm}^{2} = 300 \, \mathrm{mm}^{2} $$
   - $$ 6 \, \mathrm{mm}^{2} = 6 \, \mathrm{mm}^{2} $$
   - **Jami:** $$ 300 + 6 = 306 \, \mathrm{mm}^{2} $$

2. **Operatsiyalarni bajarish:**
   $$
   \frac{801 \, \mathrm{mm}^{2}}{9} + \frac{306 \, \mathrm{mm}^{2}}{6} = 89 \, \mathrm{mm}^{2} + 51 \, \mathrm{mm}^{2} = 140 \, \mathrm{mm}^{2}
   $$

### c) $$ 300 \cdot \left(4 \mathrm{dm}^{2} - 193 \mathrm{cm}^{2}\right) $$

1. **O'lchovlarni mm² ga o'tkazish:**
   - $$ 4 \, \mathrm{dm}^{2} = 4 \times 100 \times 100 = 40{,}000 \, \mathrm{mm}^{2} $$
   - $$ 193 \, \mathrm{cm}^{2} = 193 \times 100 = 19{,}300 \, \mathrm{mm}^{2} $$

2. **Ichki operatsiya:**
   $$
   40{,}000 \, \mathrm{mm}^{2} - 19{,}300 \, \mathrm{mm}^{2} = 20{,}700 \, \mathrm{mm}^{2}
   $$

3. **Ko'paytirish:**
   $$
   300 \times 20{,}700 \, \mathrm{mm}^{2} = 6{,}210{,}000 \, \mathrm{mm}^{2}
   $$

### **Javoblar:**
- **a)** $$ 408{,}200 \, \mathrm{mm}^{2} $$
- **b)** $$ 140 \, \mathrm{mm}^{2} $$
- **c)** $$ 6{,}210{,}000 \, \mathrm{mm}^{2} $$
a) 408,200 mm² b) 140 mm² c) 6,210,000 mm²

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