Classify the following number. Click all that apply.

Question

√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