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.
A repeating decimal is a rational number. Its value is(the repeating set of digits)/(as many 9s as there are digits above).
If its decimal representation is either terminating or a repeating number then it is rational. Otherwise it is irrational.
it is irrational because you just keep writing the same number over and over again!
No, it is irrational because the decimal goes on without repeating.
true
no
No.
It is an infinite non-repeating decimal which represents an irrational number.
An irrational number has a decimal representation that is non-terminating and non-repeating.
No, it cannot.
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. A rational number is any terminating numeral. A repeating decimal is irrational.
No.
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.
An irrational number.
Decimal representations of irrational numbers are non-terminating and non-repeating.