# RS Aggarwal Class 8 Solutions Chapter 1

## RS Aggarwal Solutions for Class 8 Chapter 1 – Rational Numbers Solutions PDF

### RS Aggarwal Class 8 Maths Solutions Chapter-wise â€“ Free PDF Download

The most excellent study materials to improve your comprehension of this chapter are the RS Aggarwal Class 8 Solutions Chapter 1 “Rational Numbers.” You will review the ideas of expressing integers as rational numbers, properties of rational numbers, the inverse of rational numbers, the order of rational numbers, and the equality of rational numbers in this chapter of RS Aggarwal Class 8 Solutions. The chapter has 118 questions across 9 exercises.

You will acquire confidence in your ability to solve any issues involving rational numbers as you practice the RS Aggarwal Class 8 Maths Chapter 1 problems. You will be familiar with every chapter concept. For RS Aggarwal Class 8 Chapter 1, our math subject matter experts have developed exercise-by-exercise solutions to help you out if you run into trouble when practicing the questions.

Our subject matter experts have answered each question in accordance with the most recent CBSE requirements for Class 8 Math. Along with each solution, you will find sound reasoning. The major chapter-related issues listed below will make it simple for you to review the ideas. Then, we also included a discussion of the exercise for the RS Aggarwal Class 8 Solutions Chapter 1.

Utopper is a website where students can get free NCERT Solutions and other study materials like Revision notes, Sample papers, and Important Question class 8. Science and Maths will be easier to learn if you have access to RS Aggarwal Solutions for Class 8 and solutions for other classes.

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**RS Aggarwal Class 8 Solutions Chapter 1 – Rational Numbers**

**RS Aggarwal Class 8 Solutions Chapter 1 – Rational Numbers**

**RS Aggarwal Class 8 Solutions**

## Chapter-1 Rational Numbers

## Chapter-2 Exponents

## Chapter-3 Squares and Square Roots

## Chapter-4 Cubes and Cube Roots

## Chapter-5 Playing with Numbers

## Chapter-6 Operations on Algebraic Expressions

## Chapter-7 Factorisation

## Chapter-8 Linear Equations

## Chapter-9 Percentage

## Chapter-10 Profit and Loss

## Chapter-11 Compound Interest

## Chapter-12 Direct and Inverse Proportions

## Chapter-13 Time and Work

## Chapter-14 Polygons

## Chapter-15 Quadrilaterals

## Chapter-16 Parallelograms

## Chapter-17 Construction of Quadrilaterals

## Chapter-18 Area of a Trapezium and a Polygon

## Chapter-19 Three-Dimensional Figures

## Chapter-20 Volume and Surface Area of Solids

## Chapter-21 Data Handling

## Chapter-22 Constructing and Interpreting Bar Graphs

## Chapter-23 Pie Charts

## Chapter-24 Probability

## Chapter-25 Graphs

#### Chapter 1: Rational Numbers, Important Topics for RS Aggarwal Class 8 Solutions

##### Natural, whole, and integer numbers

You must comprehend the definitions of Natural Numbers, Whole Numbers, and Integers before you can successfully complete the RS Aggarwal tasks for Class 8 Chapter 1. Natural numbers are all positive countable numbers; nevertheless, they do not include zero. Whole numbers are defined as all natural numbers plus zero. Then, zero and all other positive and negative numbers are combined to form an integer.

##### Rational Numbers

Rational numbers may be stated as the ratio of two integers. For instance, the numbers 1, 2, 1, 3, and 4 are all rational numbers. In this case, 0 cannot be the denominator.

#### Free PDF Download: RS Aggarwal Solutions for Class 8 Chapter 1

Some students are weak and lack the fundamental understanding of mathematics needed to perform well on exams. Since math is a practical topic, a student can’t benefit from just learning it. In order to excel in this topic and earn the greatest possible grades on the tests, a student must consistently practice it. Similar to this, regularly practicing the RS Aggarwal answers for Class 8 Chapter 1 would aid students in developing the necessary knowledge of rational numbers.

For a better understanding of these exercises, students can consult Chapter 1 of RS Aggarwal Class 8 Solutions. The Utopper website offers students free access to the RS Aggarwal Class 8 Solutions Chapter 1 PDF. Although it is a common misunderstanding among students that geometry, measurements, and trigonometry are the most challenging topics in mathematics, focusing just on these topics is unacceptable.

Another challenging area of mathematics that can easily confuse a learner is the chapter on rational numbers. Therefore, it is imperative to possess a solid understanding of the ideas and formulas relating to rational numbers. These chapter’s solutions will teach students a lot. Here are a few ideas that they will comprehend more fully if they consult the solution file.

#### What are Rational Numbers: Meaning

Any number that can be written as a quotient or fraction of two integers, either positive or negative, is referred to as a rational number. The fraction is written as p/q, where p represents the numerator and q represents the non-zero denominator. Every integer is regarded as a rational number by this theory. For instance, 5 is both an integer and a rational number since 5/1 = 5. Zero is believed to be a rational number as well and can be represented as 0/2, 0/3, 0/4, etc. A zero, however, cannot be the denominator because it cannot be solved.

#### What are Rational Number Types?

- Standard form rational numbers and positive and negative rational numbers are the two categories of rational numbers.
- If a number just has the dividend and the divisor as its factors rather than any other common elements, it is said to have a standard form.
- Positive rational numbers are those whose fractions contain both positive and negative digits.
- Rational numbers with a negative value for one of the numbers make up negative numbers.
- When properly comprehended after acquiring all the necessary knowledge, rational numbers can be challenging but also more comfortable and simple.

#### What are the Rational Number’s Properties?

- Closure Property: When two rational numbers are subjected to an arithmetic operation, the outcome is also a rational number. Under addition, subtraction, and multiplication, rational numbers are closed; however, the division does not.
- Commutative property: Any given arithmetic operator can be used to swap two rational numbers, and the outcome of the expression stays the same. Under addition and multiplication but not division, rational numbers are commutative.
- When we swap the positions of rational numbers between two or more of the same type of arithmetic operators, the outcome remains the same, this is known as the associative property. Under addition and multiplication but not division, rational numbers are associative.

##### Benefits of RS Aggarwal Class 8 Solutions

- The solutions are written as per the CBSE guidelines to assist you to score well in your examinations.
- These answers are prepared by the experts of Utopper who have more years of teaching experience.
- These solutions are written in a simple manner to maximize retention and improve understanding of the concepts.
- Solutions of every chapter are well categorized to enhance the convenience of use during your revisions.

## FAQ ( Frequently Asked Questions )

**1. What is the Meaning of the Rational Numbers Multiplicative Inverse?**

Ans – As is common knowledge, rational numbers are displayed using the p/q format, which is unmistakably a fraction. Therefore, the reciprocal of the provided fraction p/q, which becomes q/p, is the multiplicative inverse of these rational integers. For instance, 4/5 is the multiplicative inverse of the number 5/4. Due to the lack of complex or difficult formulas, this rational number notion is simple.

**2. What are Rational Numbers’ Properties?**

Ans – The following are some characteristics of rational numbers:

- Any two rational numbers can be multiplied, divided, added to, or subtracted from to produce a result that is always a rational number.
- When the denominator and the numerator are the same integers, the result is still a rational number.
- When we multiply a rational number by zero, the outcome is the same as the number multiplied by zero.
- In addition, subtraction, multiplication, and division, rational numbers are regarded as closed.

**3. What Is the Difference Between Rational Positive and Negative Numbers?**

Positive Rational Numbers | Negative Rational Numbers |
---|---|

rational number where both numerator and denominator have the same sign | rational number where both numerators and denominators have opposite sign |

These numbers are always greater than zero | These numbers are always less than zero. |

**4. What important topics are covered in Chapter 1 Rational Numbers RS Aggarwal Class 8 Solutions?**

Ans – The following are some key subjects covered in the RS Aggarwal Class 8 Solutions Chapter 1 Rational Numbers:

1. Natural Numbers, Whole Numbers, and Integers: Natural numbers refer to all positive numbers you read, excluding zero, and explain how rational numbers differ from natural numbers.

2. Rational Numbers: A rational number is a pair of numbers that have a ratio. Rational numbers include, for instance, 1/2 and 1/3, although it should be remembered that the denominator can never be zero.

3. Rational Number Properties: The following list includes a variety of rational number properties:

- closure property
- commutative property
- associative property