Hey bot describe the relationship between rational numbers and whole numbers. Are all rational numbers also whole numbers? Are all whole numbers also rational numbers? Give examples to support your answer.

Answer 1

The relationship between rational numbers and whole numbers is that every whole number can be represented as a rational number. However, not all rational numbers are whole numbers.

Whole numbers include non-negative integers (0, 1, 2, 3, ...), while rational numbers include integers as well as fractions and decimals.

Examples:

1. Whole numbers that are also rational numbers:
- 4 can be represented as 4/1, so it is a rational number.
- 0, which can be represented as 0/1, is also a rational number.

2. Rational numbers that are not whole numbers:
- 1/2 is a rational number but not a whole number.
- 3.14 is another rational number (since it can be written as 314/100), but it is not a whole number.

Therefore, all whole numbers are rational numbers, but not all rational numbers are whole numbers.