Understanding Rational Numbers
Rational numbers are numbers that can be expressed as the quotient of two integers. In this case, we want to find five rational numbers between -1/2 and 3/2.
Finding the Range
First, let's clarify the range defined by our two rational numbers:
- Lower bound: -1/2 = -0.5
- Upper bound: 3/2 = 1.5
Now we need to find numbers that lie between these two values.
Identifying Rational Numbers
Here are five rational numbers that fit our criteria:
- 1/2 (0.5)
- 0
- 1/4 (0.25)
- 1
- 5/4 (1.25)
Verification of the Numbers
- 1/2: This is greater than -1/2 and less than 3/2.
- 0: Clearly falls between both -1/2 and 3/2.
- 1/4: This is also greater than -1/2 and less than 3/2.
- 1: This whole number sits comfortably between our two bounds.
- 5/4: This is greater than 1 but less than 3/2.
Conclusion
In conclusion, the five rational numbers we identified are valid as they all lie between -1/2 and 3/2. You can always find more by selecting other fractions or whole numbers that meet the criteria. Rational numbers are plentiful, making it easy to find many options between any two given numbers.