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RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4E) Exercise 4.5

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Last updated date: 26th Apr 2024
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RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4E) Exercise 4.5 - Free PDF

Free PDF download of RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4E) Exercise 4.5 solved by Expert Mathematics Teachers on Vedantu. All Exercise 4.5 Questions with Solutions for Class 7 Math  RS Aggarwal to help you to revise complete syllabus and score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams. Register Online for Class 7 Science tuition on Vedantu to score more marks in CBSE board Examination. You can also download NCERT Solutions PDF and opt to cross-refer post-answering questions to score subject-best marks.

Two Different Methods For Finding Rational Methods

The two methods for finding rational methods are:

Method 1: Determine the equivalent fractions of the specified rational numbers, then determine the rational numbers in between. Those figures should be the necessary sensible figures.


Method 2: Calculate the average of the two rational numbers. The needed rational integer will be the mean value. In order to find more rational numbers, we must repeat the process with both the old and new rational numbers.

FAQs on RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4E) Exercise 4.5

1. Why should students refer to Vedantu for RS Aggarwal Solutions Class 7 Chapter 4 - Rational Numbers Exercise 4?

You should refer to Vedantu for RS Aggarwal solutions Class 7 Chapter 4 - rational numbers Exercise 4 for the following reasons: 


Vedantu has a good faculty that has a lot of expertise teaching Math. These professionals perform substantial research before giving solutions to major challenges. Subject Experts designed these answers and concepts to simultaneously solve your concerns and issues. This method will also help you study more effectively during your self-study hours. When students use the free PDF of RS Aggarwal Solutions Class 7 Maths Chapter 4 Revision Notes, they will be able to learn and enjoy the subject.

2. What are associative property and commutative property of rational numbers?

Some of the properties of rational numbers are:


Associative Property: When it comes to addition and multiplication, rational numbers follow the Associative Property. Assuming x, y, and z are three rational numbers, x+(y+z)=(x+y)+z for addition.

x(yz)=(xy)z is used for multiplication.

For example, 1/3 + (1/4 + 3/3) equals (1/3+ 1/4) + 3/3. 

= 19/12 =19/12

Commutative Property: The addition and multiplication of two rational integers, x and y, are always commutative. The commutative property does not apply to subtraction. Examine the solved cases to obtain a better understanding of this attribute.

Ex: 1/3+2/3 = 3/3 Commutative Law of Addition: x+y = y+x

3. What is distributive property and closure property?

Some of the properties of distributive property and closure property.


Distributive Property: Consider the three rational numbers x, y, and z: x. (y+z) = (x. y) + (x. y) + (x. y) + (x. y) + (x. y) + (x. y) + (x. y) + (x . z). We'll provide an example to demonstrate the property.

(1/3.1/4)+(1/3.2/5) = 1/3.(1/4+2/5)

1/12+2/10 = 1/3.(17/20)

=17/60=17/60

As a result, L.H.S = R.H.S.

Closure Property: Closure Property: When two rational numbers, x and y, are added, subtracted, and multiplied, the outcome is always a rational number. As division by zero isn't specified, the Closure Property is not relevant. To put it another way, we can state that the closure property applies to divisions other than zero.

26/21 = 4/7 + 2/3

6/12 = 4/3 – 2/4

2/3 = 6/15 = 3/5

4. How to prepare for the Chapter - Rational Numbers?

To prepare for the Chapter, rational numbers, students should have good knowledge about the basic concepts of the Chapter - rational numbers. It is important to have strong fundamentals of the Chapter. Students should be well - versed with concepts such as rational numbers, commutative property, associative property, distributive property, closure property, identity property, inverse property etc. Students should also try to solve sample papers to ace the Chapter - rational numbers. Students can also access the Vedantu app and website to get their hands on free study materials.