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 Decimal

Non-terminating Decimal

Answer 1

The number √13 can be classified as follows:

- **Irrational Number**: It cannot be expressed as a fraction of two integers, and its decimal representation is non-repeating and non-terminating.
- **Real Number**: All irrational numbers are real numbers.

The other classifications do not apply to √13:

- **Rational Number**: False, as it cannot be expressed as a fraction of two integers.
- **Whole Number**: False, as it is not a non-negative integer.
- **Natural Number**: False, as it is not a counting number.
- **Integer**: False, as it is not a whole number.
- **Repeating Decimal**: False, as its decimal representation is non-repeating.
- **Terminating Decimal**: False, as it does not end.
- **Non-repeating Decimal**: True, √13 is a non-repeating decimal.
- **Non-terminating Decimal**: True, √13 is a non-terminating decimal.

So, the applicable classifications for √13 are:

- Irrational Number
- Real Number
- Non-repeating Decimal
- Non-terminating Decimal