Before we consider the given number, let's recall the various types of numbers.
Rational Number: A number is a rational number if it can be written as ab, where a and b are both integers and b≠ 0.
Integer: A number is an integer if it is a positive or negative counting number (or zero). All integers are also rational numbers because any number can be written as a division by one, a1.
Whole Number: A number is a whole number if it is a non-negative counting number. All whole numbers are also integers and rational numbers.
Natural Number: A number is a natural number if it is a positive counting number. All natural numbers are also whole numbers, integers, and rational numbers.
Irrational Number: An irrational number is a number that cannot be written in the form of a rational number. These are recognized as being non-repeating, infinite decimals.
Now, let's try to categorize the given number using these definitions.
16π
The number represented by π has an infinite number of decimals and must be an irrational number. Any irrational number multiplied by a non-zero number is also an irrational number. Therefore, 16π is an irrational number.
