Question

Find the sets of numbers to which seven eighths
belongs.
Question content area bottom
Part 1
Select all that apply.
A.
natural numbers
B.
rational numbers
C.
whole numbers
D.
irrational numbers
E.
integers
F.
real numbers

Answer 1

To determine the sets of numbers to which seven eighths (\( \frac{7}{8} \)) belongs, let's analyze each option:

A. **Natural numbers**: Natural numbers are positive integers (1, 2, 3, ...). Since \( \frac{7}{8} \) is not a whole number, it does not belong here.

B. **Rational numbers**: Rational numbers are numbers that can be expressed as a fraction of two integers (where the denominator is not zero). Since \( \frac{7}{8} \) can be expressed this way, it belongs in this set.

C. **Whole numbers**: Whole numbers include non-negative integers (0, 1, 2, ...). Since \( \frac{7}{8} \) is not a whole number, it does not belong here.

D. **Irrational numbers**: Irrational numbers cannot be expressed as a fraction of two integers. Since \( \frac{7}{8} \) is rational, it does not belong in this set.

E. **Integers**: Integers are whole numbers that can be positive, negative, or zero (..., -2, -1, 0, 1, 2, ...). Since \( \frac{7}{8} \) is not an integer, it does not belong here.

F. **Real numbers**: Real numbers include all the rational and irrational numbers. Since \( \frac{7}{8} \) is a rational number, it is also a real number.

Based on this analysis, the sets to which seven eighths belongs are:

- B. rational numbers
- F. real numbers