Question
Where does 0.16 belong on the Venn diagram?
Responses
A IntegersIntegers
B Natural NumbersNatural Numbers
C Rational NumbersRational Numbers
D Irrational NumbersIrrational Numbers
Responses
A IntegersIntegers
B Natural NumbersNatural Numbers
C Rational NumbersRational Numbers
D Irrational NumbersIrrational Numbers
Answers
GPT-4o mini
To determine where 0.16 belongs on a Venn diagram, let's analyze the given categories:
- **Integers**: This set includes whole numbers (negative, zero, and positive). Since 0.16 is not a whole number, it does not belong here.
- **Natural Numbers**: This set includes positive whole numbers (1, 2, 3, ...). Since 0.16 is not a positive whole number, it does not belong here either.
- **Rational Numbers**: This set includes numbers that can be expressed as a fraction (where both the numerator and denominator are integers and the denominator is not zero). Since 0.16 can be expressed as \( \frac{16}{100} \) or \( \frac{4}{25} \), it is a rational number.
- **Irrational Numbers**: This set includes numbers that cannot be expressed as a fraction, such as π or √2. Since 0.16 can be expressed as a fraction, it does not belong here.
So, 0.16 belongs in:
**C Rational Numbers**.
- **Integers**: This set includes whole numbers (negative, zero, and positive). Since 0.16 is not a whole number, it does not belong here.
- **Natural Numbers**: This set includes positive whole numbers (1, 2, 3, ...). Since 0.16 is not a positive whole number, it does not belong here either.
- **Rational Numbers**: This set includes numbers that can be expressed as a fraction (where both the numerator and denominator are integers and the denominator is not zero). Since 0.16 can be expressed as \( \frac{16}{100} \) or \( \frac{4}{25} \), it is a rational number.
- **Irrational Numbers**: This set includes numbers that cannot be expressed as a fraction, such as π or √2. Since 0.16 can be expressed as a fraction, it does not belong here.
So, 0.16 belongs in:
**C Rational Numbers**.