1. **Stating the problem:** The first distinct math expression to analyze is the equation $$1+1=5.0$$. 2. **Understanding the problem:** This equation claims that the sum of 1 and 1 equals 5.0, which contradicts basic arithmetic. 3. **Formula and rules:** The addition of two numbers follows the rule $$a + b = c$$ where $$c$$ is the sum of $$a$$ and $$b$$. 4. **Calculating the sum:** $$1 + 1 = 2$$ 5. **Comparing with the given equation:** The given equation states $$1 + 1 = 5.0$$, which is incorrect because $$2 \neq 5.0$$. 6. **Conclusion:** The correct sum of 1 and 1 is 2, not 5.0. **Final answer:** $$1 + 1 = 2$$