what is a rational number that is between 5.2 and 5.5. what is a irrational number that is between 5.2 and 5.5.
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Rational Numbers : Rational numbers are those numbers that can be represented in the form of p/q where q ≠ 0 .
two examples of rational number between 5.2 and 5.5 are 5.3 and 5.4
5.3 = 53/10 is p/q form where p and q are integers and q ≠ 0.
So, 5.3 is a rational number.
5.4 = 54/10 = 27/5 is p/q form where p and q are integers and q ≠ 0.
Hence, 5.4 is also a Rational number.
Let x be any number which is irrational between 5.2 and 5.5
5.2 < x < 5.5
=> (52/10) < x < 55/10
=> 52²/100 < x² < 55²/100
=> 2704/100 < x² < 3025/100
x²= 3000/100 ( x² can be any integer or non integer value between 2704/100 and 3025/100 except 53²/100 =2809/100 and 54² = 1916/100)
x= √30 is an irrational number between 5.2 and 5.5
x ≈ 5.48
Another example can be
x= √29
x ≈ 5.39