1. The problem is to add the numbers 1.44 and 0.07784 and understand why the sum is not 1.5184. 2. The formula for addition is straightforward: $$a + b = \text{sum}$$ where $a=1.44$ and $b=0.07784$. 3. Add the numbers carefully aligning decimal points: $$1.44000 + 0.07784 = 1.51784$$ 4. The correct sum is $1.51784$, not $1.5184$. 5. The difference arises because $1.5184$ is rounded or truncated incorrectly. 6. Always align decimal places and add digit by digit to avoid errors. 7. Final answer: $$1.44 + 0.07784 = 1.51784$$