Question

Describe all the sets and subsets the number −25 belongs to.(1 point) Responses Rational Numbers, Integers, Whole Numbers Rational Numbers, Integers, Whole Numbers Rational Numbers, Integers Rational Numbers, Integers Rational Numbers Rational Numbers Rational Numbers, Integers, Whole Numbers, Natural Numbers

Answer 1

The number \(-25\) belongs to the following sets and subsets:

1. **Rational Numbers**: A rational number is any number that can be expressed as the quotient of two integers, where the denominator is not zero. Since \(-25\) can be expressed as \(-25/1\), it is a rational number.

2. **Integers**: Integers are whole numbers that can be positive, negative, or zero. \(-25\) is an integer because it is a whole number and is negative.

3. **Whole Numbers**: Whole numbers are non-negative integers (0, 1, 2, ...). Since \(-25\) is negative, it does not belong to the set of whole numbers.

4. **Natural Numbers**: Natural numbers are the set of positive integers (1, 2, 3, ...). Like whole numbers, \(-25\) does not belong to the set of natural numbers because it is negative.

Thus, the correct sets that \(-25\) belongs to are: **Rational Numbers** and **Integers**.

So the best response from the options is: **Rational Numbers, Integers**.