Are all integers part of the whole numbers set?

short answer and 1 example

11 answers

Yes, all integers are part of the whole numbers set.

Example: -5
Can an irrational number also be an integer?
short answer and 1 example
No, an irrational number cannot be an integer.

Example: √2
say why in the exampe
In the example of √2, it is an irrational number because it cannot be expressed as a fraction or a ratio of two integers. An integer, on the other hand, is a whole number that can be expressed without fractional or decimal parts. Since √2 cannot be written as a whole number, it cannot be an integer.
now shorten
√2 is an example of an irrational number that cannot be expressed as an integer because it cannot be written as a whole number.
Juergen says pi may be called an irrational number, but it should also be called a rational number since 3.14159 can be written as a fraction: 314159/100000 . Is he correct?
No, Juergen is incorrect. Pi, represented as 3.14159, cannot be expressed as a fraction using whole numbers. Although 314159/100000 may yield a decimal approximation close to pi, it is not an exact representation and does not fulfill the definition of a rational number. Pi is widely recognized as an irrational number since it cannot be expressed accurately as a simple fraction.
short answer
No, Juergen is incorrect. Pi cannot be considered a rational number because it cannot be expressed as a fraction using whole numbers.