10. Eng kichik yuz olchov 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 olchov birligiga o'tkazib hisoblang**

Quyidagi ifodalarda barcha o'lchov birliklarini eng kichik birlikka o'tkazib, hisoblang.

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### 1. $$42 \, \mathrm{dm}^{2} \, 26 \, \mathrm{cm}^{2} - 15 \, \mathrm{dm}^{2} \, 63 \, \mathrm{cm}^{2} + 14 \, \mathrm{dm}^{2} \, 19 \, \mathrm{cm}^{2}$$

**Qadamlar:**

1. **Birliklarni yagona o'lchovga o'tkazish:**
   - 1 dm = 10 cm, shuning uchun $$1 \, \mathrm{dm}^{2} = 100 \, \mathrm{cm}^{2}$$.

2. **Har bir termni $$\mathrm{cm}^{2}$$ ga o'tkazish:**
   - $$42 \, \mathrm{dm}^{2} = 42 \times 100 = 4200 \, \mathrm{cm}^{2}$$
   - $$26 \, \mathrm{cm}^{2}$$ – o'zgarmas
   - $$15 \, \mathrm{dm}^{2} = 15 \times 100 = 1500 \, \mathrm{cm}^{2}$$
   - $$63 \, \mathrm{cm}^{2}$$ – o'zgarmas
   - $$14 \, \mathrm{dm}^{2} = 14 \times 100 = 1400 \, \mathrm{cm}^{2}$$
   - $$19 \, \mathrm{cm}^{2}$$ – o'zgarmas

3. **Hisoblash:**
   $$
   (4200 + 26) - (1500 + 63) + (1400 + 19) = 4226 - 1563 + 1419
   $$
   $$
   = 2663 + 1419 = 4082 \, \mathrm{cm}^{2}
   $$

**Natija:** $$4082 \, \mathrm{cm}^{2}$$

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

**Qadamlar:**

1. **Eng kichik birlikni aniqlash:**
   - $$\mathrm{mm}^{2}$$ – eng kichik birlik.

2. **Birliklarni $$\mathrm{mm}^{2}$$ ga o'tkazish:**
   - $$1 \, \mathrm{cm}^{2} = 100 \, \mathrm{mm}^{2}$$.
   - $$8 \, \mathrm{cm}^{2} = 8 \times 100 = 800 \, \mathrm{mm}^{2}$$
   - $$1 \, \mathrm{mm}^{2}$$ – o'zgarmas
   - $$3 \, \mathrm{cm}^{2} = 3 \times 100 = 300 \, \mathrm{mm}^{2}$$
   - $$6 \, \mathrm{mm}^{2}$$ – o'zgarmas

3. **Termlarni qo'shish:**
   $$
   8 \, \mathrm{cm}^{2} \, 1 \, \mathrm{mm}^{2} = 800 + 1 = 801 \, \mathrm{mm}^{2}
   $$
   $$
   3 \, \mathrm{cm}^{2} \, 6 \, \mathrm{mm}^{2} = 300 + 6 = 306 \, \mathrm{mm}^{2}
   $$

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

**Natija:** $$140 \, \mathrm{mm}^{2}$$

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### 3. $$300 \cdot \left(4 \, \mathrm{dm}^{2} - 193 \, \mathrm{cm}^{2}\right)$$

**Qadamlar:**

1. **Birliklarni yagona o'lchovga o'tkazish:**
   - 1 dm = 10 cm, shuning uchun $$1 \, \mathrm{dm}^{2} = 100 \, \mathrm{cm}^{2}$$.

2. **Ichidagi ifodani $$\mathrm{cm}^{2}$$ ga o'tkazish:**
   $$
   4 \, \mathrm{dm}^{2} = 4 \times 100 = 400 \, \mathrm{cm}^{2}
   $$
   $$
   4 \, \mathrm{dm}^{2} - 193 \, \mathrm{cm}^{2} = 400 - 193 = 207 \, \mathrm{cm}^{2}
   $$

3. **Ko'paytirish:**
   $$
   300 \times 207 = 62{,}100 \, \mathrm{cm}^{2}
   $$

**Natija:** $$62{,}100 \, \mathrm{cm}^{2}$$

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**Natijalar:** 1. $$42 \, \mathrm{dm}^{2} \, 26 \, \mathrm{cm}^{2} - 15 \, \mathrm{dm}^{2} \, 63 \, \mathrm{cm}^{2} + 14 \, \mathrm{dm}^{2} \, 19 \, \mathrm{cm}^{2} = 4082 \, \mathrm{cm}^{2}$$ 2. $$8 \, \mathrm{cm}^{2} \, 1 \, \mathrm{mm}^{2} : 9 + 3 \, \mathrm{cm}^{2} \, 6 \, \mathrm{mm}^{2} : 6 = 140 \, \mathrm{mm}^{2}$$ 3. $$300 \cdot \left(4 \, \mathrm{dm}^{2} - 193 \, \mathrm{cm}^{2}\right) = 62{,}100 \, \mathrm{cm}^{2}$$

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