Decimal Division Ef5229
1. **State the problem:** We need to calculate the value of $\frac{2.5}{0.012}$.
2. **Formula and rules:** Division of decimals can be simplified by multiplying numerator and denominator by the same power of 10 to eliminate decimals.
3. Multiply numerator and denominator by 1000 to remove decimals:
$$\frac{2.5}{0.012} = \frac{2.5 \times 1000}{0.012 \times 1000} = \frac{2500}{12}$$
4. Now divide 2500 by 12:
$$2500 \div 12 = 208.333\ldots$$
5. So, the exact value is $208.\overline{3}$ or approximately 208.33.
**Final answer:**
$$\frac{2.5}{0.012} = 208.\overline{3}$$