Either terminating (as in 0.25) or non-terminating as in the expression for pi.
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No, 125 is not a repeating decimal. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. In the case of 125, it is a whole number and does not have any decimal places or repeating patterns. It can be written as 125.0000, but it is still a non-repeating decimal.
You do a long division, adding decimal digits until you get a remainder of zero (terminating decimal) or a repeating pattern of decimal digits.
When expressed as a decimal, a rational number will either be terminating (end with a finite number of digits) or repeating (have a repeating pattern of digits).
a repeating decimal
If you repeat the pattern, adding one more zero every time, then no. To qualify as a "repeating decimal", the same digits have to repeat over and over.