Question

Classify the following number. Click all that apply.

13

This problem is worth 1 point back on your test.


Rational Number

Irrational Number

Whole Number

Natural Number

Real Number

Integer

Repeating Decimal

Terminating Decimal

Non-repeating, Non-terminating Decimal

Answer 1

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