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Are decimals in a fraction always rational numbers?
There are are three types of decimals: terminating, repeating and non-terminating/non-repeating. The first two are rational, the third is not.
Is 0.62662. a rational number?
Yes. All terminating decimals are rational.
Is 0.003 a rational number?
Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.
Is 8.2 a rational number?
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
What is the difference between a terminating and a repeating decimal?
A terminating decimal reaches an end after a finite number of digits whereas a repeating decimal, after a finite number of digits, has a string of decimals (also of finite length) that repeats forever. Thus 1.2356 is a terminating decimal. 1.456333... is a repeating decimal with the digit 3 repeating an infinite number of times. So also is 23.56142857142857...... where the string 142857 repeats to infinity. In fact, terminating decimals may be viewed as repeating decimals with zero repeating infinitely.
