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RS Aggarwal Solutions Class 8 Chapter-1 Rational Numbers (Ex 1A) Exercise 1.1

RS Aggarwal Solutions

RS Aggarwal Solutions Class 8 Chapter-1 Rational Numbers (Ex 1A) Exercise 1.1

RS Aggarwal Solutions Class 8 Chapter-1 Rational Numbers

RS Aggarwal Class 8 Chapter 1 Exercise 1A Solution can be referred by the students to understand the concept of this given topic from the beginning. Experts have prepared the full-length exercise of RS Aggarwal Solutions Class 8 Math ex 1A with utmost precision for the students. It provides a complete exposure to the basic concepts of Rational Numbers as well as other properties of the same in this chapter. By practicing the RS Aggarwal Math Class 8 Exercise 1A, students will gain confidence in solving the Mathematical problem in their examination. Students need to follow the guidelines and syllabus while solving the questions present in the RS Aggarwal textbook. So, students willing to secure good marks in the examination need to follow and practice RS Aggarwal solutions Class 8 Maths ex 1 without failing. You can also download NCERT Solution for Class 8 Math to help you to revise the complete syllabus and score more marks in your examinations.

State the Concepts Discussed in RS Aggarwal Solutions Class 8 Chapter 1 Exercise 1A

RS Aggarwal Class 8 Maths Chapter 1 exercise 1A, deals with the fundamental concepts related to rational numbers. We can say that the chapter focuses on brushing up of the properties that the students have learnt in the exercise. Some of the concepts that are given priority in this RS Aggarwal Maths Class 8 exercise 1A includes the following.

Rational numbers and their properties.
Representation of rational numbers on the real line.
The standard form of the rational number.
Addition of rational numbers.
Subtraction of rational numbers.
Division of rational numbers.
Multiplication of rational numbers.
Word problems related to rational numbers.

At the end of this RS Aggarwal Maths Class 8 exercise 1A solution, objective type questions are provided for students to see how well they have grasped the concepts.

Properties of Rational Numbers:

When we add, multiply or subtract two Rational Numbers, the result is always Rational Number
When we multiply or divide the numerator and denominator of a Rational Number, the result is always the number remaining the same
If we add the Rational Number and zero, the answer is always the same number.

The standard form of a Rational Number: A Rational Number is a real number generally expressed in p/q form where the denominator, i.e., is not equal to zero. Anything divided by zero is infinite and indefinable. All the other real numbers, which can not be expressed in this standard form, are irRational Numbers.

Multiplicative Inverse of a Rational Number: A Rational Number is a subtype of a real number, which can be expressed in p/q form where “p” is not equal to 0. A fraction that does not have zero as a denominator is a Rational Number. The multiplicative inverse of any Rational Number is its reciprocal number. For example, let us say ⅗ is a Rational Number where the denominator is not equal to zero. Then, the multiplicative inverse of this given Rational Number is 5/3. When we multiply the Rational Number with its multiplicative inverse, the product is 1.

Students can practice the given problems in the textbook, reference material, and mock tests to score well and get in-depth knowledge of the subject. Rational Numbers is one of the easiest chapters in the curriculum. It is very basic and also scoring if students have conceptual clarity.

Expression of Rational Number Mentioned in RS Aggarwal Class 8 Maths Chapter 1 Exercise 1A

The expression of a rational number mentioned in RS Aggarwal Maths Class 8 exercise 1A solution is given as follows.

Equality of Two Rational Numbers

Two rational numbers mn and ab are said to be equal if:

m = a and n = b, as well as mb = an.

Order of a Rational Number

A rational number ab is said to be greater than mn if and only if an > bm.

Addition and Subtraction of Rational Numbers

Two rational numbers ab and mn are added as follows:

ab + mn = an + bmbn

Similarly, the subtraction is done as an − bmbn

Multiplication of Rational Numbers

Two rational numbers ab and mn will be multiplied as acmn.

If the rational numbers are represented in their canonical form, their product will be denoted as a reducible fraction.

Division of Rational Numbers

Division of rational numbers is calculated by multiplying one of the rational numbers with the reciprocal of the other.

To divide ab and mn, ab is multiplied by nm

Inverse Numbers

There are two inverses for every rational number – additive inverse and multiplicative inverse.

Additive inverse of rational number ab is – ab while the multiplicative inverse is ba.

Important Questions in RS Aggarwal Maths Class 8 Exercise 1A

Q. Multiply 4/13 by the reciprocal of -8/18

Solution:

Reciprocal of -8/18 = 18/-8 = -18/8

According to the given question,

4/13 × (Reciprocal of -7/16)

4/13 × (-18/8) = -72/104

Show the given value of rational numbers on the number line.

(i) 11/4

(ii) -2/-5

Solution:

(i) 11/4 can also be represented as 2 ¾

The rational number can be represented in the following way.

(image will be uploaded soon)

(ii) -2/-5

= (– 2 × - 1) / (– 5 × - 1)

= 2 / 5

The rational number can be represented in the following way.

(image will be uploaded soon)

Q. In an election of society, there are 50 voters. Each of them cast their vote. Three persons A, B and C are contesting for the post of Secretary. If Mr A got 3 / 5 of the total votes and Mr C got 1 / 5 of the total votes, then find the number of votes which Mr Y got.

Solution:

Number of votes = 50

Number of person for standing in election election = A,B,C

A got (3 / 5) of total votes = (3 / 5) of 50

= (3 / 5) × 50

= 30

C got 1 / 5 of total votes = 1 / 5 of 50

= (1 / 5) × 10

= 10

Calculation of remaining votes is shown as below

= 50 – (30 + 10)

= 50 – 40

We get,

= 10

Hence, Mr B got 10 votes.

Did You Know?

A rational number is a number that can be written in the form of a ratio. It can also be written into a fraction in which both the numerator and denominator are represented as a whole number. Every whole number is also a rational number as they can be as a fraction.

FAQs on RS Aggarwal Solutions Class 8 Chapter-1 Rational Numbers (Ex 1A) Exercise 1.1

1. What are the Key Features Outlined in RS Aggarwal Solutions Class 8 Maths Ex 1A?

Some of the key features outlined in RS Aggarwal Class 8 Chapter 1 Exercise 1A solution that gives credit to the textbook are:

The RS Aggarwal Solutions Class 8 Math ex 1A are derived in a step by step format for efficient and effortless understanding by the students.
The subject experts prepare the curriculum to provide easy and accurate solutions.
Students will get easy access chapter-wise to both the problems and solutions.
There are multiple processes highlighted to solve a similar problem.
The textbook offers a complete, in-depth, and precise solution to all the problems.

Moreover, students can download the PDF version to get an idea of the latest editions of problems and solutions. All these can help the student to score better marks in the examination.

2. Explain the Concept of Rational Number According to RS Aggarwal Solutions Class 8 Chapter 1 Exercise 1A?

The concept of Rational Number according to RS Aggarwal Math Class 8 Exercise 1A solution is explained in-depth for the students. In the number system, Rational Numbers represent numbers that are expressed as a ratio of two integers. If the Rational Number is an integer, it can also be the quotient of the ratio. If a given Rational Number is denoted by the ratio c/d, then d must be a non-zero integer. As the denominator can be 1, every integer is a Rational Number. A thorough understanding of the chapter Rational Number helps the student in making sound preparation for the examination

3. What is the multiplicative inverse of a Rational Number mentioned in RS Aggarwal Solutions for CBSE Class 8?

A Rational Number is a subtype of a real number, which can be expressed in p/q form where “p” is not equal to 0. A fraction that does not have zero as a denominator is a Rational Number. For example, ¼, ⅕, etc., 1/0, 2/0, etc., are not Rational Numbers as anything divided by zero is infinite and can not be determined. The multiplicative inverse of any Rational Number is its reciprocal number. For example, let us say ⅗ is a Rational Number where the denominator is not equal to zero. Then, the multiplicative inverse of this given Rational Number is 5/3. When we multiply the Rational Number with its multiplicative inverse, the product is 1.

4. How to find a Rational Number between two Rational Numbers as mentioned in RS Aggarwal Solutions for CBSE Class 8?

By finding an equivalent fraction of the Rational Numbers.
Finding out the mean value of Rational Numbers.

To find out more numbers one should repeat the same process with new numbers.

5. What are the sources for Class 8 CBSE students for Math?

Math is a difficult subject to study for many students. This fear can be resolved by following good references and with proper guidance. Students are supposed to study the NCERT textbooks initially and clear their doubts with their teacher’s help. Then they can start solving the answers from various exercises in reference books like RS Aggarwal. Apart from these, students can also refer to online sources like Vedantu to get an overview of the subjects, basics and advanced knowledge to a level as sources for Class 8 CBSE students for Math. Whatever the sources students might follow, they should make sure that their sources are credible. This can be done with the help of their teachers and seniors.