Classify the number. Choose ALL sets that it belings to.

1. 4/5

A. Natural
B. Integers
C. Rational
D. Irrational
E. Real
F. Imaginary
G. Complex

1 answer

The number \( \frac{4}{5} \) can be classified into the following sets:

C. Rational - because it can be expressed as a fraction of two integers (4 and 5). E. Real - because all rational numbers are part of the real numbers.

It does not belong to the following sets:

A. Natural - because natural numbers are positive integers (1, 2, 3, ...), and \( \frac{4}{5} \) is not an integer. B. Integers - because integers are whole numbers (positive, negative, and zero), and \( \frac{4}{5} \) is not an integer. D. Irrational - because irrational numbers cannot be expressed as a fraction of two integers, while \( \frac{4}{5} \) can. F. Imaginary - as it does not involve the imaginary unit \( i \). G. Complex - while it can be considered a complex number (as all real numbers are complex with an imaginary part of zero), it is more specifically classified under rational and real.

Thus, the correct classifications are: C. Rational, E. Real.