1. Stating the problem: Calculate the product of $2.8$ and $-\frac{20}{7}$. 2. Express the multiplication explicitly: $$2.8 \times \left(-\frac{20}{7}\right)$$ 3. Rewrite $2.8$ as a fraction for easier calculation: $$2.8 = \frac{28}{10}$$ 4. Now multiply the fractions: $$\frac{28}{10} \times \left(-\frac{20}{7}\right) = \frac{28 \times (-20)}{10 \times 7}$$ 5. Calculate the numerator and denominator separately: Numerator: $28 \times (-20) = -560$ Denominator: $10 \times 7 = 70$ 6. Simplify the fraction: $$\frac{-560}{70} = -8$$ 7. Final answer: $-8$