# NCERT Solutions Class 9 Maths Chapter 1 Exercise 1.5 Number Systems

For addition and multiplication, rational numbers obey the commutative, associative, and distributive laws. Furthermore, if two rational numbers are added, subtracted, multiplied, or divided, then we will still get a rational number. The NCERT solutions for class 9 maths chapter 1 exercise 1.5 number systems explain the same for irrational numbers, as to how they also obey all of the above-stated laws. The only exception being, that the result of addition, subtraction, multiplication, etc., does not necessarily result in an irrational number.

Some important facts in the NCERT solutions class 9 maths chapter 1 exercise 1.5 which the students must remember are :

- The addition and subtraction of a rational and irrational number result in an irrational number.
- A non-zero rational number, when multiplied or divided by an irrational number, gives an irrational value.
- If any arithmetic operation is performed on two irrational numbers, the resulting value could be rational or irrational.

There are 5 questions in the class 9 maths NCERT solutions chapter 1 exercise 1.5 number systems based on the above concepts, which can be found in the pdf file below :

**ā** Download NCERT Solutions Class 9 Maths Chapter 1 Exercise 1.5

**Exercise 1.5 Class 9 Chapter 1 **

### More Exercises in Class 9 Maths Chapter 1

- NCERT Solutions Class 9 Maths Chapter 1 Ex 1.1
- NCERT Solutions Class 9 Maths Chapter 1 Ex 1.2
- NCERT Solutions Class 9 Maths Chapter 1 Ex 1.3
- NCERT Solutions Class 9 Maths Chapter 1 Ex 1.4
- NCERT Solutions Class 9 Maths Chapter 1 Ex 1.6

## NCERT Solutions Class 9 Maths Chapter 1 Exercise 1.5 Tips

NCERT solutions class 9 maths chapter 1 exercise 1.5 will help the students in learning how to perform operations on real numbers. Hence, it would be beneficial if they revise the concepts of associative, commutative, and distributive laws involved with addition and multiplication.

NCERT solutions class 9 maths chapter 1 exercise 1.5 presents the number system content in a way that develops a strong foundation of mathematical knowledge and, of course, more confidence in tackling new topics.

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