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Question

List five rational numbers in between:
1. -1 and 0
2. -2 and -1
3. -4/5 and -2/3
4. 1/2 and 2/3

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Solution

Five rational numbers between the given numbers are -
1)-1 & 0
  • (-1+0)/2 = -1/2
  • (-1/2 + 0) /2 = -1/4
  • (-1/4 + 0)/2 = -1/8
  • (-1/8+0)/2 = -1/16
  • (-1/16+0)/2 = -1/32
2) -1 & -2
  • (-1+(-2))/2 = -3/2
  • (-1+(-3/2))/2 = -5/4
  • (-1+(-5/4))/2 = -9/8
  • (-1+(-9/8))/2 =-17/16
  • (-1+(-17/16)) = -33/32
Similarly, you can find for other numbers

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