Which of the following statements about rational numbers is correct?

a. All rational numbers are also whole numbers.
b. All rational numbers are also integers.
c. All rational numbers can be written in the form a/b.
d. Rational numbers cannot be negative.

The correct statement about rational numbers is:

c. All rational numbers can be written in the form a/b.

To determine which statement about rational numbers is correct, let's analyze each option:

a. All rational numbers are also whole numbers.
To verify this statement, we need to remember that whole numbers include zero and all positive integers (1, 2, 3, ...). Rational numbers, on the other hand, include both integers and fractions. Since rational numbers can be expressed as fractions (like 3/4) or integers (like -2), not all rational numbers are whole numbers. Therefore, statement a is incorrect.

b. All rational numbers are also integers.
Integers include all whole numbers (both positive and negative) as well as zero (-3, -2, -1, 0, 1, 2, 3, ...). Rational numbers encompass integers, but they also include fractions. For example, 1/2 is a rational number, but it is not an integer. Thus, statement b is incorrect.

c. All rational numbers can be written in the form a/b.
This statement is correct. Rational numbers can be written as fractions in the form a/b, where "a" and "b" are integers, and "b" is not equal to zero. For instance, 3/4, -2/7, and 10/1 are all examples of rational numbers written in this form.

d. Rational numbers cannot be negative.
This statement is incorrect. Rational numbers can be positive, negative, or zero. For instance, -2/3, 5/8, and 0 are all rational numbers. The negativity or positivity of a rational number depends on the sign assigned to it.

In conclusion, the correct statement about rational numbers is:
c. All rational numbers can be written in the form a/b.

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