To find five rational numbers between 1 and 2, we first understand that a rational number can be expressed as a fraction of two integers. Any number that can be written in the form p/q, where p and q are integers and q ≠ 0, is considered rational.
Since we are looking for rational numbers between 1 and 2, one straightforward approach is to use fractions that have a numerator and denominator that we can manipulate. Here are five examples:
- 1.2 (which can be expressed as 6/5)
- 1.4 (which can be expressed as 7/5)
- 1.6 (which can be expressed as 8/5)
- 1.8 (which can be expressed as 9/5)
- 1.5 (which can be expressed as 3/2)
These numbers fit perfectly between 1 and 2 because:
- They are greater than 1.
- They are less than 2.
Thus, we’ve successfully identified five rational numbers in the given range!