The number 13 can be classified as follows:
- Rational Number: Yes, because it can be expressed as the fraction \( \frac{13}{1} \).
- Whole Number: Yes, because it is a non-negative integer.
- Natural Number: Yes, because it is a positive integer (natural numbers are typically defined as the set of positive integers).
- Real Number: Yes, because all rational and irrational numbers are real numbers.
- Integer: Yes, because it is a whole number (which includes all positive and negative whole numbers and zero).
The following classifications do not apply to 13:
- Irrational Number: No, because it can be expressed as a fraction and is not non-repeating, non-terminating.
- Repeating Decimal: No, 13 is not represented as a decimal; it is an integer.
- Terminating Decimal: No, 13 is not a decimal representation, although if expressed in decimal form, it would be 13.0, which is a terminating decimal. However, it is primarily classified as an integer.
- Non-repeating, Non-terminating Decimal: No, because 13 is not a decimal number.
So the applicable classifications for the number 13 are:
- Rational Number
- Whole Number
- Natural Number
- Real Number
- Integer