1. **State the problem:** A video game originally costs 32. There is a 20% discount on the game. We need to find the discount amount. 2. **Formula:** The discount amount is calculated by multiplying the original price by the discount percentage expressed as a decimal. $$\text{Discount} = \text{Original Price} \times \frac{\text{Discount Percentage}}{100}$$ 3. **Calculate the discount:** $$\text{Discount} = 32 \times \frac{20}{100}$$ 4. **Simplify the fraction:** $$\text{Discount} = 32 \times 0.20$$ 5. **Multiply:** $$\text{Discount} = 6.4$$ 6. **Answer:** The discount amount is $6.4$.