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Theoretically, no real numbers cannot be graphed on the number line. The number line contains all real values. Practically, it is not really possible to exactly place an irrational number, as it is a non-terminating, non-repeating decimal. But for all intents and purposes, you can place it at least to the tenth or hundredth place, which is about all you can discern with the naked eye, anyway!

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Q: What real numbers cannot be graphed on the number line?
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