Insert three rational numbers between 4 and 4.5.
Solution:
Given:
The rational numbers 4 and 4.5
By rationalizing, we get
= (4 + 4.5)/2
= 8.5 / 2
= 4.25
So, the rational number between 4 and 4.5 is 4.25
4 < 4.25 < 4.5
Now, let us find the rational number between 4 and 4.25
By rationalizing, we get
= (4 + 4.25)/2
= 8.25 / 2
= 4.125
So, the rational number between 4 and 4.25 is 4.125
4 < 4.125 < 4.25
Now, let us find the rational number between 4 and 4.125
By rationalizing, we get
= (4 + 4.125)/2
= 8.125 / 2
= 4.0625
So, the rational number between 4 and 4.125 is 4.0625
4 < 4.0625 < 4.125
Hence, the rational numbers between 4 and 4.5 are
4 < 4.0625 < 4.125 < 4.25 < 4.5
The three rational numbers between 4 and 4.5
4.0625, 4.125, 4.25
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