Final answer:
Options a, b, c, d, and f are rational numbers because they can all be expressed as fractions of two integers. Option e, which is √2, is an irrational number and cannot be expressed as a fraction of two integers.
Step-by-step explanation:
The student is asking which of the provided options are rational numbers. A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero. Rational numbers include integers, finite decimals, and repeating decimals.
- a. -22 is an integer and therefore rational.
- b. -3.3 is a finite decimal and thus rational.
- c. -21 is an integer and therefore rational.
- d. -2.3 is a finite decimal and thus rational.
- e. √2 cannot be expressed as a fraction of two integers and is an irrational number.
- f. -2 is an integer and therefore rational.
Therefore, options a, b, c, d, and f are rational numbers, while option e is not rational.