10 grade maths
Compared with Euclid's Division Lemma a = bq + r, which number represents the remainder in 17 = 6 × 2 + 5?
Compared with Euclid's Division Lemma a = bq + r, which number represents the remainder in 17 = 6 × 2 + 5?
1 Answer
Askiitians Tutor Team
In the equation 17 = 6 × 2 + 5, the number 5 represents the remainder. This equation follows Euclid's Division Lemma, which states that for any positive integers a and b, there exist unique integers q and r such that a = bq + r, where 0 ≤ r < |b|. In this case, 17 is divided by 6, yielding a quotient of 2 and a remainder of 5.
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