A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)
If the decimal is rational if it continues in a pattern. ex 2.586586586586586.... It is irrational if it continues forever without a pattern. ex 2.586943732434006843...
It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.
No. If the decimal expansion falls into a repeating pattern (however long) then the number is rational. For example, 0.33... is the rational number 1/3. or 0.04142857142857... where the pattern 142857 continues forever is the rational number 29/700.
A decimal is a rational number if:* It terminates - i.e., it has a finite number of decimal digits. * It doesn't terminate, but it repeats the same pattern over and over - possibly after a finite number of digits that are not included in the pattern. For example, 0.145145145145..., or 3.125252525...
.833 IS a repeating decimal. This is a rational number as well as it has a repetitive pattern.
It is a rational number. An irrational number is a decimal that is infinite and has no repition or pattern.
A number x is said to be rational if it can be expressed as the ratio p/q where p and q are integers, and q is not 0. For each rational number there is an equivalent decimal representation which is either a terminating decimal or one that has an infinitely recurring pattern. A decimal number which is infinite but without any recurring pattern is an irrational number.Thus rational numbers form a subset of decimal numbers.
It depends on if it is continued or not. A terminal decimal is always rational (such as 0.5) If it has a repeating pattern, its also rational (0.3333333333333333). If you mean 0.50550555055550555550555555 etc.) this is not rational.
It is rational.A number cannot be both rational and irrational.
A repeating decimal is rational.
No, if a decimal does not terminate or repeat, it is not a rational number. Rational numbers can be expressed as a ratio of two integers, and their decimal representation either terminates or repeats after a certain point. Decimals that do not have a pattern and continue indefinitely are considered irrational numbers.