Question

periodicity of 5/11?

I will mark as brainliest please answer...​

Answer 1

Answer:

it can be shown that a number is rational if and only if its decimal representation is repeating or terminating ( i.e. all exept finitely many digits are zero ) For example the decimal representation of 5/11 become periodic just after the decimal point , repeating the single digit "11" forever i.e. 0.333.

Answer 2

[ 5/11 = 0.4545454545 ]

AS WE CAN SEE, THE REPEATING DIGITS OF 5/11 ARE 4 AND 5 THUS NUMBER OF REPEATING DIGITS IS 2.

HENCE, PERIODICITY OF 5/11 IS 2.