Real Numbers

The collection of all rational numbers and irrational numbers together is called real numbers, which is denoted by R. Euclid’s Division Lemma: For any two given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0≤r b, can be obtained as follows: Step 1: Apply Euclid’s division lemma to a and b and find whole numbers q and r such that, a = bq + r, 0≤r

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