Find whether the variable z represents a rational number or irrational numbers : z² = .04
Solution:
Given, z² = .04
We have to find whether z is a rational or irrational number.
A number is called a rational number, if it can be written in the form p/q , where p and q are integers and q ≠ 0.
A number is said to be rational only if its decimal representation is repeating or terminating.
Given, z² = .04
Taking square root,
z = √0.04
z = 0.2
0.2 can be written as 2/10
So, 2/10 = 1/5
So, z = 1/5
Therefore, z is a rational number.
✦ Try This: Find whether the variable x represent rational number or irrational numbers : x² = 0.016
Given, x² = 0.016
We have to find whether x is a rational or irrational number.
A number is called a rational number, if it can be written in the form p/q , where p and q are integers and q ≠ 0.
A number is said to be rational only if its decimal representation is repeating or terminating.
Given, x² = 0.016
Taking square root,
x = √0.016
x = 0.4
0.4 can be written as 4/10
4/10 = 2/5
So, x = 2/5
Therefore, x is a rational number.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1
NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 1 (iii)
Find whether the variable z represents a rational number or irrational numbers : z² = .04
Summary:
If a number can be expressed as a fraction where both the numerator and the denominator are integers, the number is a rational number. The variable z represents a rational number
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