Answer :

Final answer:

To find three rational numbers between -25/30 and -24/30, convert them to decimals, find the difference, divide the difference by 4, and add the interval to the first decimal. Repeat this process to get the other two rational numbers.

The numbers are: -0.82597, -0.81764, -0.80931

Explanation:

  1. Convert -25/30 and -24/30 to decimals:
    -25/30 = -0.8333
    -24/30 = -0.8
  2. Find the difference between the two decimals:
    -0.8 - (-0.8333) = 0.0333
  3. Divide the difference by 4 to get the interval between each rational number:
    0.0333 / 4 = 0.00833
  4. Add the interval to the first decimal (-0.8333) to get the first rational number:
    -0.8333 + 0.00833 = -0.82597
  5. Add the interval to the first rational number to get the second rational number:
    -0.82597 + 0.00833 = -0.81764
  6. Add the interval to the second rational number to get the third rational number:
    -0.81764 + 0.00833 = -0.80931

Learn more about Rational Numbers here:

https://brainly.com/question/36880638

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