$1 + 1 = 2$

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Related Questions:

1. What is $2 + 2$?
2. How does addition of fractions like $\frac{1}{2} + \frac{1}{3}$ work?
3. What is the sum of $1 + (-1)$?
4. How is addition extended to matrices, such as ( \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} +