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

1 answer

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
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