Inserting Rational Numbers Between Two Rational Numbers :
In this section, we will learn how to insert rational numbers between two given rational numbers.
Example 1 :
List five rational numbers between –2 and 0.
Solution :
-1.9, -1.8, -1.7, -1.6, -1.5
writing the above decimals as rational numbers, we get
-19/10, -18/10, -17/10, -16/10, -15/10
Example 2 :
List five rational numbers between -1/2 and 3/5.
Solution :
Let us convert the denominators same.
(-1/2) ⋅ (5/5) = -5/10
(3/5) ⋅ (2/2) = 6/10
Rational numbers between them are
-4/10, -3/10, -2/10, -1/10, 0, 1/10, .....
We may choose any five as answer.
Example 3 :
List five rational numbers between 0.25 and 0.35.
Solution :
Writing numbers between 0.25 and 0.35 in decimal form, we get
0.26, 0.27, 0.28, 0.29, 0.30, 0.31, 0.32, 0.33, 0.34
By changing them into fraction, we get
26/100, 27/100, 28/100, 29/100, 30/100
Example 4 :
List five rational numbers between –1.2 and -2.3.
Solution :
-1.3, -1.4, -1.5, -1.6, -1.7, .........., -2.2
By changing them into decimal form, we get
13/10, 14/10, 15/10, 16/10, 17/10.
After having gone through the stuff given above, we hope that the students would have understood, how to insert rational numbers between the given two rational numbers.
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