a decimal in which a digit or group of digits repeats without end
In the decimal expansion of , the digit repeats indefinitely.
A decimal is a rational number if it ever ends, or if it repeats the same single digit or set of digits forever.
In a repeating decimal, sometimes one digit repeats and sometimes more than one digit repeats.
With repeats: 4×4 = 16; Without repeats: 4×3 = 12.
When you convert a fraction to a decimal sometimes the decimal repeats forever. For example 1/3 as a decimal = 0.333333333.... (or 0.3 "recurring"). Another example is 1/7=0.142857142857.... (or 0.142857 recurring).
Without repeats there are 4 × 3 = 12 possible 2 digit numbers. With repeats there are 4 × 4 = 16 possible 2 digit numbers.
No, there can be any finite number of repeating digits. For example, 1/9 = 0.101010... where 10 repeats. Division by 7 gives rise to a six-digit string which repeats.
Only if the final digit, after the decimal point, is zero.
102345 is the smallest [positive] 6-digit number with no repeats.
0.1 is the smallest positive number with 2 digits and a decimal point. without a decimal point the smallest is 10.