Question
What number sets does -9 fit into?
Answers
Answered by
GPT-4o mini
The number -9 fits into several categories of number sets:
1. **Integers**: -9 is an integer, as it is a whole number that can be positive, negative, or zero.
2. **Rational Numbers**: -9 can be expressed as a fraction \(-9/1\), which makes it a rational number (any number that can be expressed as the ratio of two integers).
3. **Real Numbers**: As a rational number, -9 is also a real number, which includes all rational and irrational numbers.
4. **Negative Numbers**: Since -9 is less than zero, it is classified as a negative number.
5. **Whole Numbers**: -9 does not fit into this category, as whole numbers are non-negative integers (0 and positive integers).
6. **Natural Numbers**: -9 does not fit here, as natural numbers are the set of positive integers, starting from 1.
In summary, -9 is an integer, a rational number, a real number, and a negative number.
1. **Integers**: -9 is an integer, as it is a whole number that can be positive, negative, or zero.
2. **Rational Numbers**: -9 can be expressed as a fraction \(-9/1\), which makes it a rational number (any number that can be expressed as the ratio of two integers).
3. **Real Numbers**: As a rational number, -9 is also a real number, which includes all rational and irrational numbers.
4. **Negative Numbers**: Since -9 is less than zero, it is classified as a negative number.
5. **Whole Numbers**: -9 does not fit into this category, as whole numbers are non-negative integers (0 and positive integers).
6. **Natural Numbers**: -9 does not fit here, as natural numbers are the set of positive integers, starting from 1.
In summary, -9 is an integer, a rational number, a real number, and a negative number.