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

1 answer

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
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