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Every real number has an address

Your guide: Sir AhmedSays brackets have saved more marks than any calculator.

The problem

You've drawn number lines since primary school, without asking a real question: does every real number — even something wild like π — actually own a spot on that line?

The answer is yes, and it isn't just a drawing — it's a rule. Every point gets exactly one real number, and every real number gets exactly one point, the same way every house has exactly one address.

On the real line, 0 sits at the origin O and 1 sits at a unit point A; the distance between two points is |x1 − x2|. Pairing two real numbers (a, b) the same way gives the real plane, where a is the abscissa and b is the ordinate.

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