Find four rational numbers between -2 and -1
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Answer:
-2 1/2 -2 1/3 -2 1/4 1
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The rational number between a and b is (a + b)/2
Hence rational number between -1 and -2 is (-1-2)/2 = -3/2 = -1.5
Rational number between 1 and -3/2 is [-1+(-3/2)]/2 = -5/4 = - 1.25
Rational number between 1 and -5/4 is [-1+(-5/4)]/2 = -9/8 = - 1.125
Rational number between -2 and -9/8 is is [-2+(-9/8)]/2 = -25/16 = - 1.5625
Therefore four rational numbers between -1 and -2 are -3/2 , -5/4 , -9/8 , and -25/16 .
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