Explain why a decimal for ⅓ is called a repeating decimal.

Answer 1

A decimal for ⅓ is called a repeating decimal because when we convert the fraction ⅓ into decimal form, it results in a recurring pattern of digits that repeats indefinitely. In this case, the digit "3" repeats after every decimal place, hence the term repeating decimal. The decimal representation of ⅓ is 0.33333..., with the digit 3 repeating infinitely.