A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.
No, any repeating decimal digit is a rational number. It only states that it is non-terminating decimal. It is rational.
Not necessarily. Remember that the definition of an irrational number is a number that can't be expressed as a simple fraction. 2/3, for example, is rational by that definition even though its decimal form is a repeating decimal. Since irrational numbers cannot be written as fractions, they don't have fraction forms. So basically, numbers with repeating decimals are considered rational. Irrational numbers don't have repeating decimals.
A terminating or repeating decimal is rational. .333333...=1/3 5.09090909=509090909/100000000
Yes. Any number that can be expressed as a finite or repeating decimal is a rational number. Irrational numbers have decimal expansions that neither repeat nor terminate.
No. A rational number is any terminating numeral. A repeating decimal is irrational.
A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.
No. It is a rational number. Any repeating decimal or terminating decimal is rational.
Actually, a repeating decimal is not necessarily an irrational number. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. While some repeating decimals can be irrational, such as 0.1010010001..., others can be rational, like 0.3333... which is equal to 1/3. Irrational numbers are numbers that cannot be expressed as a simple fraction, and they have non-repeating, non-terminating decimal representations.
No, any repeating decimal digit is a rational number. It only states that it is non-terminating decimal. It is rational.
Irrational numbers can not be repeating decimals. Any number that is a repeating decimal is rational.
3501225 is a rational number. (It is even a natural number.) (Decimal representation of an irrational number has not terminating or repeating decimals.)
The number 75.082106 with a repeating decimal is rational. A rational number can be expressed as a fraction of two integers, where the denominator is not zero. In this case, the repeating decimal can be written as a fraction, making it a rational number. Irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal expansions.
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 its decimal representation is either terminating or a repeating number then it is rational. Otherwise it is irrational.
If a number can be expressed as a terminating or repeating decimal then it is rational (and conversely). So -3 is rational.
Any repeating decimal digits (this includes repetition after a certain point, e.g. 2.4510101010...) is a rational number.