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Name the set(s) of numbers to which belongs. -1/2

whole numbers, integers, rational numbers

rational numbers

integers, rational numbers

whole numbers, natural numbers, integers

1 answer

The number \(-\frac{1}{2}\) belongs to the set of rational numbers, as it can be expressed as a fraction of two integers (in this case, \(-1\) and \(2\)).

However, it does not belong to the sets of whole numbers, integers, or natural numbers:

  • Whole numbers: This set includes all non-negative integers (0, 1, 2, 3, ...). \(-\frac{1}{2}\) is negative and not a whole number.
  • Integers: This set includes all whole numbers and their negative counterparts (..., -3, -2, -1, 0, 1, 2, 3, ...). While \(-\frac{1}{2}\) is negative, it is not an integer, as integers are whole numbers without any fractional parts.

Given the options, the correct classification is rational numbers.