What is the smallest subset into which the following number fits?

0
Answer
Attempt 1 out of 2
Multiple Choice Answers
Rational
Irrational
Integer
Whole
Natural

1 answer

The number 0 fits into the following subsets:

  • Rational: Yes, because it can be expressed as 0/1 (or any non-zero denominator).
  • Integer: Yes, because 0 is an integer.
  • Whole: Yes, because whole numbers include all non-negative integers, which includes 0.
  • Natural: Typically, natural numbers do not include 0 (they start from 1), but some definitions do allow for 0.

Given the options, the smallest subset that includes 0 is:

Natural: (However, note that this may vary with interpretation; if not considered, then...) Whole:

So, if natural numbers are defined to not include 0 in your context, the smallest subset would be:

Whole.

If natural numbers are defined to include 0, then it depends on your interpretation from the options.