1. Let's solve the first problem: $1.5 \div 0.2$. 2. Division of decimals can be simplified by multiplying numerator and denominator by the same power of 10 to make the divisor a whole number. 3. Multiply both numerator and denominator by 10: $$\frac{1.5}{0.2} = \frac{1.5 \times 10}{0.2 \times 10} = \frac{15}{2}$$ 4. Now divide 15 by 2: $$15 \div 2 = 7.5$$ 5. So, $1.5 \div 0.2 = 7.5$. 6. Now, let's solve the second problem: $2.5 \sqrt{5}$. 7. This is a multiplication of a decimal and a square root. We can leave it as is or approximate the value. 8. Approximate $\sqrt{5} \approx 2.236$. 9. Multiply: $$2.5 \times 2.236 = 5.59$$ 10. So, $2.5 \sqrt{5} \approx 5.59$. Final answers: - $1.5 \div 0.2 = 7.5$ - $2.5 \sqrt{5} \approx 5.59$