What is meaning of repeating decimals?

Answer 1

If I understand your question, you want to know the meaning of the phrase "repeating decimal". It just means an infinite decimal expansion (a decimal with infinitely many digits) in which, from some point on, the same digit or group of digits just keeps repeating forever. Every rational number (fraction) has a decimal that either terminates (in which case it can be considered to be a repeating decimal in which the digit 0 keeps repeating; 1/2 = 0.5 = 0.5000000000...) or repeats. An irrational number has a decimal expansion that never repeats. For example, 1/3 = 0.33333333333...; 1/7 = 0.142857142857142857...; 1/30 = 0.03333333333.... and is often represented with a line above the repeating number