The Maths Exercise 1.2 of Number System is prepared by our subject experts from which candidates can learn easily. The questions mentioned in the RD Sharma Chapter 1 Class 9 Maths Exercise 1.2 Solutions PDF attached to this article. In Exercise 1.2 of Maths, we are explaining rational and irrational numbers. We have provided solutions for each question as well, which are prepared based on the CBSE guidelines.
The questions of rational and irrational numbers are usually asked to justify the statements either it is true or false. Also, in some questions, students have to convert the rational number into decimals.
Know about the highlight of the RD Sharma Chapter 1 Class 9 Maths.
Download RD Sharma Chapter 1 Class 9 Maths Exercise 1.2 Solutions PDF
Solutions for Class 9 Maths Chapter 1 Number System Exercise 1.2
Important Definition RD Sharma Chapter 1 Class 9 Maths Exercise 1.2 Solutions
In the following points, students can see the detail about the rational numbers and irrational numbers based on the RD Sharma Chapter 1 Class 9 Maths.
Rational Numbers
The rational numbers are expressed in p/q form where q is not equal to 0 (q≠0.). Rational Number is also a kind of real number. Any fraction which has non-zero denominators are rational numbers.
Therefore, we can say that ‘0’ (Zero) is also a rational number, as we can represent it in various forms such as 0/3, 0/4, 0/5, 0/1, 0/2, etc. But, 1/0, 2/0, 3/0, 4/0, 5/0, etc., will not count as rational numbers because they provide us absolute values.
In the above PDF questions, we provided the types of rational numbers with solutions, which help candidates easily understand the rational number.
How to Identify the Rational Numbers?
Here are some conditions from which students can easily identify the rational number-
- Represent in the form of p/q.
- The ratio p/q should be simplified or stated in the form of a decimal.
The set of Rational Numbers includes-
- It should be positive (+), negative (-), or zero (0).
- Expressed in the form of a fraction.
Example of Rational Numbers-
|
p |
q |
p/q |
Rational |
|
20 |
4 |
20/4= 5 |
Rational |
|
2 |
2000 |
2/2000= 0.001 |
Rational |
|
60 |
10 |
60/10= 6 |
Rational |
Irrational Numbers
Irrational Number is the inconsistency of Rational Numbers. It is the real number, which is not represented in the form of a simple fraction and will not be expressed in the form of a ratio like- p/q, where p and q are integers but q≠0 (q is not equal to zero).
The calculations of irrational numbers are complicated while solving like √5, √7, √11, √21, √23, √28, etc. In such cases, firstly, we have to solve the under root values. The decimal enlargement of an irrational number is neither canceling nor recurring.
List of the Common Irrational Number
- Pi (π) = 22/7 = 3.14159265358979…
- Golden ratio, φ = 1.61803398874989…
- Euler’s Number, e = 2.71828182845904…
- Root, √ = √2, √3, √5, √7, √8, whatever number under root cannot be simplified more.
Frequently Asked Questions (FAQs) of RD Sharma Chapter 1 Class 9 Maths Exercise 1.2 Solutions
Ques)- How to get a rational number between 5 and 6?
Ans)- The rational number between 5 and 6
Solution:- ½(5+6)
=11/2
Ques)- Is Zero a rational number?
Ans)- Yes, Zero is the rational number because zero is the integer, written in any form.
Ques)- Is 3.14 an irrational number?
Ans)- Pi, which starts with 3.14 (22/7), is one of the irrational numbers.
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