itsmeJaz61
itsmeJaz61 itsmeJaz61
  • 02-04-2022
  • Mathematics
contestada

what are the possible values of remainder r, when a positive integer 'a' is divided by 3​

Respuesta :

anna5431
anna5431 anna5431
  • 02-04-2022

Answer:

0, 1, 2

Step-by-step explanation:

Euclid's division Lemma states that for any two positive integers ‘a’ and ‘b’ there exist two unique whole numbers ‘q’ and ‘r’ such that , a = bq + r, where 0≤ r < b.

Here, a= Dividend, b= Divisor, q= quotient and r = Remainder.

According to Euclid's division lemma a 3q+r, where 0≤r≤3 and r is an integer.

Therefore, the values of r can be 0, 1 or 2.

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