1. **State the problem:** A chef bought 9.28 kilograms of almonds and 0.82 kilograms of pecans. We need to find the total kilograms of nuts bought. 2. **Formula used:** To find the total weight, add the weights of almonds and pecans. $$\text{Total weight} = \text{Weight of almonds} + \text{Weight of pecans}$$ 3. **Substitute the values:** $$\text{Total weight} = 9.28 + 0.82$$ 4. **Perform the addition:** $$9.28 + 0.82 = 10.10$$ 5. **Conclusion:** The chef bought a total of **10.10 kilograms** of nuts.