1. State the problem: Multiply the numbers $0.05$ and $1.38$. 2. Write the multiplication expression: $$0.05 \times 1.38$$ 3. Convert decimals to fractions for easier multiplication: $$0.05 = \frac{5}{100} = \frac{1}{20}$$ $$1.38 = \frac{138}{100} = \frac{69}{50}$$ 4. Multiply the fractions: $$\frac{1}{20} \times \frac{69}{50} = \frac{1 \times 69}{20 \times 50} = \frac{69}{1000}$$ 5. Convert the fraction back to decimal: $$\frac{69}{1000} = 0.069$$ 6. Final answer: $$0.05 \times 1.38 = 0.069$$