To solve the problem of identifying five rational numbers smaller than 5, let's first briefly revisit the definition of a rational number. A rational number is any number that can be expressed as the quotient or fraction of two integers, with a non-zero denominator. Essentially, it means that any number that can be written in the form \(\( \frac{p}{q} \)\) where \(\( p \)\) and \(\( q \)\) are integers and \(\( q \)\) is not zero is a rational number.
Given these definitions and requirements, we look for five specific rational numbers that are less than 5. Here are five such examples:
1. 4.5: This number can be written as \(\( \frac{9}{2} \)\), which is a rational number because it is the quotient of the integers 9 and 2.
2. 3.75: This number can be written as \(\( \frac{15}{4} \)\), another rational number as it represents the fraction of two integers, 15 and 4.
3. 2.5: This number can be written as \(\( \frac{5}{2} \)\). It is a rational number as it is the quotient of the integers 5 and 2.
4. 1.25: This number can be expressed as \(\( \frac{5}{4} \)\), thereby making it a rational number since it is the quotient of 5 and 4.
5. 0.5: This number can be written as \(\( \frac{1}{2} \)\), which is a rational number since it represents the fraction of the integers 1 and 2.
Hence, the five rational numbers smaller than 5 are:
1. 4.5
2. 3.75
3. 2.5
4. 1.25
5. 0.5
