Certainly! Here is how we can find three rational numbers between each pair of given numbers:
### (i) Between 0.3 and -0.5:
To find three rational numbers between 0.3 and -0.5, we can evenly space the values between the two numbers. The numbers that we find are:
- 0.45
- 0.4
- 0.35
### (ii) Between -2.3 and -2.33:
To find three rational numbers between -2.3 and -2.33, we similarly space the values evenly between these two numbers. These rational numbers are:
- -2.3225
- -2.315
- -2.3075
### (iii) Between 5.2 and 5.3:
For the interval between 5.2 and 5.3, the rational numbers that can be spaced in between are:
- 5.275
- 5.25
- 5.225
### (iv) Between -4.5 and -4.6:
Finally, between -4.5 and -4.6, the rational numbers evenly spaced are:
- -4.575
- -4.55
- -4.525
Thus, the three rational numbers between each pair of given numbers are:
1. Between 0.3 and -0.5: 0.45, 0.4, and 0.35
2. Between -2.3 and -2.33: -2.3225, -2.315, and -2.3075
3. Between 5.2 and 5.3: 5.275, 5.25, and 5.225
4. Between -4.5 and -4.6: -4.575, -4.55, and -4.525
These are the rational numbers that lie between the specified intervals.
