No. Any fraction can be written as a repeating decimal - and vice versa. For example, take the repeating decimal (which I call "x"):
x = 0.4123123123...
Now multiply that by 1000:
1000x = 412.3123123123...
Subtract the first quation from the second, and you get:
999x = 411.9
Solving for x:
9990x = 4119
x = 4119/9990
This is a fraction of whole numbers, therefore, a rational number.
Yes.
Irrational Numbers are never-ending numbers.
Examples: Pi, repeating decimals, imperfect squares
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.
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
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.
That's an irrational number.