Final answer:
To find 5 rational numbers between -2 and -3, divide the difference between the two numbers by 6. The 5 rational numbers between -2 and -3 are: -2 1/6, -2 1/3, -2 1/2, -2 2/3, and -2 5/6.
Step-by-step explanation:
To find 5 rational numbers between -2 and -3, we need to find the difference between these two numbers and divide it by 6. This will give us the interval between each rational number. So, (-3 - (-2)) / 6 = -1/6. Therefore, the 5 rational numbers between -2 and -3 are:
- -2 + (-1/6) = -2 1/6
- -2 + (-1/3) = -2 1/3
- -2 + (-1/2) = -2 1/2
- -2 + (-2/3) = -2 2/3
- -2 + (-5/6) = -2 5/6