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.

Answer Link

Otras preguntas

How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 40% acid solution
The Earth, Jupiter, Saturn and Uranus revolve around the sun. The Earth takes 1 year, Jupiter takes 12 years, Saturn 30 years, and Uranus 84 years to make a com
Solve x^2 − 3x = −8.
Which statement accurately describes how to performa 90 counterclockwise rotation of point A (-1, -2) around the origin
A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equation for the drink's temperature a
Help me with question 2
HELP CHEMISTRY QUESTION: How do you preserve the accuracy and precision of your measurements when doing calculations with the measurements?
X/2 - 8=19 solve the equation
Why did France give up territory west of the Mississippi River?
Match The Type Of Poultry To It’s Characteristics