Classify the number. Choose ALL sets that it belongs to. 4/5 (3 points) Responses Natural Natural Integers Integers Rational Rational Irrational Irrational Real Real Imaginary Imaginary Complex

Answer 1

The number \( \frac{4}{5} \) is classified as follows:

1. Natural Numbers: No, it is not a natural number because natural numbers are positive integers (1, 2, 3, ...).
2. Whole Numbers: No, as it is not a whole number (which includes 0 and all positive integers).
3. Integers: No, it is not an integer because integers are whole numbers including negative numbers (-1, -2, ...).
4. Rational Numbers: Yes, because it can be expressed as a fraction of two integers (4 and 5).
5. Irrational Numbers: No, because it can be expressed as a ratio of two integers (therefore it is not irrational).
6. Real Numbers: Yes, because all rational numbers are real numbers.
7. Imaginary Numbers: No, it is not imaginary.
8. Complex Numbers: Yes, because all real numbers are also complex numbers (as they can be represented with an imaginary part of zero).

The correct classifications for \( \frac{4}{5} \) are:

• Rational
• Real
• Complex