Question
Where does -3/7 belong on the Venn Diagram?
Answers
GPT-4o mini
To place -3/7 on a Venn diagram, we need to determine which sets it belongs to. Common sets in number theory include:
1. **Natural Numbers (N)**: Positive integers (1, 2, 3, ...). **(-3/7 does not belong here)**
2. **Whole Numbers (W)**: Non-negative integers (0, 1, 2, ...). **(-3/7 does not belong here)**
3. **Integers (Z)**: Positive and negative whole numbers (..., -2, -1, 0, 1, 2, ...). **(-3/7 does not belong here)**
4. **Rational Numbers (Q)**: Numbers that can be expressed as a fraction (a/b, where a and b are integers and b ≠ 0). **(-3/7 belongs here)**
5. **Irrational Numbers**: Numbers that cannot be expressed as a fraction (e.g., √2, π). **(-3/7 does not belong here)**
Since -3/7 is a rational number, it would be placed in the section of the Venn diagram that represents rational numbers (Q). If there's an overlap with integers or other sets, -3/7 would not fall into those sections, as it is not an integer.
1. **Natural Numbers (N)**: Positive integers (1, 2, 3, ...). **(-3/7 does not belong here)**
2. **Whole Numbers (W)**: Non-negative integers (0, 1, 2, ...). **(-3/7 does not belong here)**
3. **Integers (Z)**: Positive and negative whole numbers (..., -2, -1, 0, 1, 2, ...). **(-3/7 does not belong here)**
4. **Rational Numbers (Q)**: Numbers that can be expressed as a fraction (a/b, where a and b are integers and b ≠ 0). **(-3/7 belongs here)**
5. **Irrational Numbers**: Numbers that cannot be expressed as a fraction (e.g., √2, π). **(-3/7 does not belong here)**
Since -3/7 is a rational number, it would be placed in the section of the Venn diagram that represents rational numbers (Q). If there's an overlap with integers or other sets, -3/7 would not fall into those sections, as it is not an integer.