Question
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Where does 0.16 belong on the Venn diagram?
Responses
A IntegersIntegers
B Natural NumbersNatural Numbers
C Rational NumbersRational Numbers
D Irrational Numbers
Where does 0.16 belong on the Venn diagram?
Responses
A IntegersIntegers
B Natural NumbersNatural Numbers
C Rational NumbersRational Numbers
D Irrational Numbers
Answers
GPT-4o mini
To determine where 0.16 belongs on a Venn diagram, let's review the classifications of numbers:
- **Natural Numbers**: The set of positive integers (1, 2, 3, ...). 0.16 is not a natural number.
- **Integers**: The set of whole numbers that can be positive, negative, or zero (..., -2, -1, 0, 1, 2, ...). 0.16 is not an integer.
- **Rational Numbers**: Numbers that can be expressed as a fraction \( \frac{a}{b} \) where \( a \) and \( b \) are integers and \( b \neq 0 \). Since 0.16 can be expressed as \( \frac{16}{100} \) or \( \frac{4}{25} \), it is a rational number.
- **Irrational Numbers**: Numbers that cannot be expressed as a simple fraction. 0.16 is not an irrational number.
Based on this classification, the answer is:
**C Rational Numbers**.
- **Natural Numbers**: The set of positive integers (1, 2, 3, ...). 0.16 is not a natural number.
- **Integers**: The set of whole numbers that can be positive, negative, or zero (..., -2, -1, 0, 1, 2, ...). 0.16 is not an integer.
- **Rational Numbers**: Numbers that can be expressed as a fraction \( \frac{a}{b} \) where \( a \) and \( b \) are integers and \( b \neq 0 \). Since 0.16 can be expressed as \( \frac{16}{100} \) or \( \frac{4}{25} \), it is a rational number.
- **Irrational Numbers**: Numbers that cannot be expressed as a simple fraction. 0.16 is not an irrational number.
Based on this classification, the answer is:
**C Rational Numbers**.