Find five rational numbers between -4 and -3. I need the answer for my hw
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Step-by-step explanation:
Let a = - 4 and b = - 3
Mean of ( a,b ) = a +b /2
( -4 -2) / 2= - 6/2 = - 3/2.
Now a= - 4 and b = -3/2
- 4 - (3/2)/ 2= [ (- 8 - 3)/2 ] / 2 = (- 11/2 ) / 2 = - 11/4
Now a = - 4 and b = - 11/4
- 4 - (11/4) / 2 = [( - 16 - 11) / 4 ] / 2 = ( - 27 / 4 ) / 2 = - 27 / 8
Now a = - 4 and b = - 27/8
- 4 - (27/8) / 2 = [ ( - 32 - 27 ) / 8 ] / 2 = ( - 59 / 8 ) / 2 = - 59 / 16
Now a = - 4 and b = - 59 / 16
- 4 - ( 59/16 ) / 2 = [( - 64 - 59 ) / 16 ] / 2 = ( - 123 / 16 ) / 2 = - 123 / 32
Hence, the five rational numbers are - 3/2, - 11/4, - 27/8, - 59/16 and - 123/32
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