irrational numbers
It could be what is known as an "irrational number", which is a kind of real number. Alternatively, and at a rather advanced level, it could be a number which is not even a real number.
An irrational number is a number that has no definite end and a terminating number is a number that has a definite end. So this means that a decimal that is terminating cannot be irrational.
Because it has been proven to be an irrational number. And an irrational number cannot have a terminating or recurring decimal representation.
The number pi (π) is an irrational number, meaning it cannot be expressed as a simple fraction. While the first few digits of pi are commonly known as 3.14159, the number goes on infinitely without repetition. Therefore, it is not possible to list the first 100 numbers of pi as it is a non-terminating and non-repeating decimal.
Yes. 5.0 (a terminating decimal) can be expressed as 4.9999... (a repeating decimal) That may be hard to believe but it is true, as proved by Georg Cantor.
The latter which would be an irrational number that cannot be expressed as a fraction.
If the decimal is terminating or repeating then it can be written as a fraction. Decimal representations which are non-terminating and non-repeating cannot be expressed as a fraction.
No, the question contradicts itself. If it is repeating then it cannot be terminating and if it is terminating then it cannot be repeating!
No, the question contradicts itself. If it is repeating then it cannot be terminating and if it is terminating then it cannot be repeating!
No, the question contradicts itself. If it is repeating then it cannot be terminating and if it is terminating then it cannot be repeating!
Irrational numbers are numbers that cannot be expressed as a ratio of two integers or as a repeating or terminating decimal.
No, it cannot.
pi cannot be expressed as a terminating or non-repeating decimal. Consequently, it is irrational. The pure mathematical proof is not simple.
irrational numbers
13/22 cannot be expressed as a terminating decimal because the divisor has a factor other that 2 or 5.
That is called an irrational number. Some of the most common irrational numbers are pi (3.14159....) and the square root of 2.