Decimals repeat because there is no definite end. In these, you can end the repeat by rounding up... (Exp: 4.44444444444444... would be 4.45 or 4.445 or 4.4445, etc.
That can refer to one of two types of decimals: terminatingand irrational.Terminating decimals don't repeat because they stop, whereas irrational decimals simply never repeat a distinct pattern of digits.
No, none of them do.
Some decimals repeat. Some decimals go on forever. Some decimals stop. Those are called terminating decimals.
The 3 kinds of decimals are "terminating" "recurring" and "other" Terminating decimals are ones that end, such as 0.74 or 0.19857 Recurring decimals are ones that don't end, but repeat, such as 0.6666666... or 0.142857142857142857.... Other decimals don't end, and don't repeat, but go on forever, such as pi=3.14159265358979323.....
There are irrational numbers (like PI and e) that have infinitely many decimals which do not repeat and rational numbers (the quotient of two integers) which do eventually repeat.
In a non-zero fraction is written in its simplest form, then if the denominator has any prime factor other than 2 or 5 it will not go into any numerator evenly. This leads to repeating decimals.
Some decimals stop, some keep on going. The ones that repeat are known as recurring decimals.
Some decimals repeat, some keep going and some stop. The ones that stop are known as terminating decimals.
Yes. Rational numbers are numbers or decimals that repeat or terminate. Irrational numbers do not. For example π is an irrational number.
Any irrational number can be approximated by decimals. You can never write it exactly, since there are an infinite number of decimals, and these don't repeat.