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.
The relationship between rational numbers and whole numbers can be described as follows:
Not all rational numbers are whole numbers. Rational numbers can be expressed as a fraction, where the numerator and the denominator are both integers. This means rational numbers can include numbers with decimal parts or fractions. Whole numbers, on the other hand, include all positive integers starting from zero. Since whole numbers do not have any fractional or decimal parts, they cannot be represented as a ratio of two integers.
However, all whole numbers are rational numbers. This is because whole numbers can be expressed as fractions where the denominator is 1. For example, the whole number 5 can be written as the rational number 5/1.
In summary, while all whole numbers are rational numbers, not all rational numbers are whole numbers.
Example:
1. Rational number: 2/3 (not a whole number)
2. Whole number: 4 (also a rational number as it can be expressed as 4/1)