-2/3 and 3/4 are two simple examples.
Whole numbers ARE rational.
Yes, by definition. A rational number is one that can be written as a ratio (hence rational) of two whole numbers. And a ratio of two whole numbers is a fraction.
No, they are not. 1/2 is a ratio of two integers and so it is rational. But it is not a whole number.
Another name for 'rational' is "numbers that are equal to the ratio of two whole numbers". Another name for 'irrational' is "numbers that are not equal to the ratio of any two whole numbers".
Whole numbers are always rational
The set of rational numbers includes all whole numbers, so SOME rational numbers will also be whole number. But not all rational numbers are whole numbers. So, as a rule, no, rational numbers are not whole numbers.
Whole numbers ARE rational.
Yes, by definition. A rational number is one that can be written as a ratio (hence rational) of two whole numbers. And a ratio of two whole numbers is a fraction.
No, they are not. 1/2 is a ratio of two integers and so it is rational. But it is not a whole number.
Another name for 'rational' is "numbers that are equal to the ratio of two whole numbers". Another name for 'irrational' is "numbers that are not equal to the ratio of any two whole numbers".
Some rational numbers are whole numbers, some are not. The set of whole numbers is a proper subset of rational numbers.
soem rational numbers are whole numbers
All rational numbers are not whole numbers, as rational numbers can include fractions.
Whole numbers are always rational
Any 2 digit integers are rational numbers because all integers or whole numbers are rational numbers.
The fact that they can be expressed as a ratio of two whole numbers (with the denominator being non-zero).
This statement is not accurate. Rational numbers are defined as numbers that can be expressed as the quotient of two integers, where the denominator is not zero. While whole numbers are indeed rational since they can be represented as a fraction (e.g., 5 can be written as 5/1), rational numbers also include fractions and decimals that are not whole numbers, such as 1/2 or 0.75. Thus, rational numbers encompass a broader set than just whole numbers.