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Standard X
Mathematics
Real Numbers
Euclid's divi...
Question
Euclid's division lemma state that for any two positive integera a and b there exist unique integer q and r such that a=bq+r
Write the condition in which r must statisfy a=bq+r
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Solution
https://byjus.com/maths/euclid-division-lemma/
r should be less than b (r < b).
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Q.
Euclid's Division Lemma states that for any two positive integers a and b, there exist unique integers q and r, such that a = bq + r, where
(a) 0 < r < b
(b) 0 ≤ r < b
(c) 0 < r ≤ b
(d) 1 < r < b
Q.
Euclid's division algorithm states that for any positive integers a and b, there exist unique integers q and r such that
a
=
b
q
+
r
where
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