Some natural numbers are irrational. True or False. If false, an example that contradicts the statement.
Answers
False, there are no irrational natural numbers. Natural numbers, whole numbers, and integers are rational numbers.
Examples of natural number are: 1, 2, 3, 4, 5...
A contradiction to the statement is that 0 is not a natural number.
Hope that helps. :)
No. Natural numbers cannot be irrational.
Any natural number can be expressed in a simple fraction. The four basic operations are as follows.
The addition of two natural numbers gives natural numbers.
The subtraction of two natural numbers gives integers.
The multiplication of two natural numbers gives natural numbers.
The division of two natural numbers gives rational numbers.
Consider rational numbers.
The addition of two natural numbers gives rational numbers.
The subtraction of two natural numbers gives rational numbers.
The multiplication of two natural numbers gives rational numbers.
The division of two natural numbers gives rational numbers.
So, natural numbers are rational numbers. Hence natural numbers cannot be irrational.