Subjects MATHEMATICS

Water Drop Addition

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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.