Question

For any two natural numbers a and b, there exist unique ............................. numbers q and r such that

a = bq + r, a < r < b​

Answer 1

Answer:

natural is the answer..........

Answer 2

Answer:

Integers

Step-by-step explanation:

Given: For any two natural numbers a and b, there exist unique ............................. numbers q and r such that a = bq + r, a < r < b​.

To fill in the blanks.

This is a statement of Euclid division algorithm which relates dividend, divisor, quotient & remainder.

Euclid's division lemma states that for two positive integers a and b, there exist unique integers q and r such that a=bq+r, where 0<= r <b.

For any two natural numbers a and b, there exist unique integers numbers q and r such that a = bq + r, a < r < b​.

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