............. states that for any two positive integers a and b we can find two whole numbers q and r such that a = b × q + r where 0 \leq r

Foundation

Mathematics Foundation

HCF and LCM

Properties of Real Number

Linear Equations in One Variable

Question

............. states that for any two positive integers a and b we can find two whole numbers q and r such that a = b × q + r where 0 \leq r < b .

Euclid's addition lemma

Euclid's subtraction lemma

Euclid's multiplication lemma

Euclid's division lemma

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Let the two positive integers be a, a dividend and b, a divisor.

We can find two whole numbers, q and r such that q is the quotient and r is the remainder.

So, a = b × q + r where 0 \leq r < b.

This is Euclid's Division Lemma.

Hence, option D is correct.