Which of the following statements is false? if a number is a natural number, then it is rational. if a number is a whole number, then it is rational. if a number is a fraction, then it is rational. if a number is an integer, then it is irrational.

"If a number is an integer, then it is irrational." is false,

because a number is irrational means that that number cannot be written as a "ratio" , where m and n are integers.

The following is an illustration that any integer can be written as :
Let z be any integer. Then any z, can be written as , where both 2z and 2 are clearly integers.

All the other choices are always true.

 If a number is an integer, then it is irrational.