Water Drop Addition
1. The original statement is "1 plus 1 = 2" which means adding one unit to another unit results in two units.
2. In the analogy of water drops, adding one water drop to another water drop results in a bigger water drop.
3. In mathematical language, instead of saying "1 plus 1 = 2," we can express that the sum of two units forms a larger quantity, represented as:
$$a + a = A, \text{ where } A > a$$
Here, $a$ represents the size of one drop, and $A$ represents the combined larger drop.
4. This shows that adding two quantities $a$ and $a$ results in a new quantity $A$ which is greater than the original quantity $a$.
5. If the two drops are identical in size, $A$ can be written as $2a$, meaning the bigger water drop is twice the size of one drop:
$$a + a = 2a$$
This aligns with the idea of addition producing a larger quantity in a physical context.