Final answer:
Rational numbers can be written as fractions with integers. Options A (dividing by 1), C (dividing by 4), and F (dividing by 9) are examples of rational numbers as they can be expressed as fractions with integer numerators and non-zero integer denominators.
Step-by-step explanation:
Rational numbers are numbers that can be expressed as the quotient or fraction ⅖ of two integers, where the denominator is not zero. Considering the options provided, we need to identify which of them can be expressed in the form of a fraction with integers.
A. ÷ 1 (dividing by 1) is always equal to the numerator itself, which is an integer. Therefore, it is a rational number.
C. ÷ 4 (dividing by 4) can also be expressed as a fraction with integers since any integer divided by 4 gives a rational number. For example, 1 divided by 4 is 1/4, a rational number.
F. ÷ 9 (dividing by 9) is similar to dividing by 4; any integer divided by 9 results in a fraction with integers, thus a rational number.
The other options, B. ÷ 3, D. ÷ 5, and E. ÷ 8, are also rational numbers for similar reasons, but the question asked for only three examples.