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RS Aggarwal Class 8 Mathematics Solutions for Chapter-1 Rational Numbers

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RS Aggarwal Class 8 Chapter 1 Rational Numbers Solutions- Free PDF Download

RS Aggarwal Class 8 Mathematics Solutions for Chapter-1 Rational Numbers is now available on Vedantu for students who are not understanding the concepts well. This solution by RS Aggarwal is not only one of the most popular among students but also helps a lot of students in matters related to homework and assignments. You can also access this RS Aggarwal Class 8 Mathematics Solutions for Chapter-1 Rational Numbers through Vedantu for free of cost which means you need not subscribe or pay any membership fee to get it availed.

Easy stepwise solutions for Chapter 1 Class 8 Rational Numbers problems

We have provided step-by-step solutions for all exercise questions given in the pdf of Class 8 RS Aggarwal Chapter-1 Rational Numbers. All the Exercise questions with solutions in Chapter-1 Rational Numbers are given below:

Exercise (Ex 1A) 1.1

Exercise (Ex 1B) 1.2

Exercise (Ex 1C) 1.3

Exercise (Ex 1D) 1.4

Exercise (Ex 1E) 1.5

Exercise (Ex 1F) 1.6

Exercise (Ex 1G) 1.7

Exercise (Ex 1H) 1.8

RS Aggarwal Class 8 Chapter 1 Solution - Free Pdf Download

Some students are weak and don't have a strong core knowledge of mathematics which is essential for scoring good marks in the exams. Maths is a practical subject, so only learning it can’t help a student. A student must practise it regularly in order to do good in this subject and secure the highest possible marks in the exams. Similarly, practising RS Aggarwal solutions Class 8 ch 1 on a regular basis will help students gain appropriate knowledge of rational numbers. 

While practising these problems, a student must refer to RS Aggarwal Class 8 solutions chapter 1 for better understanding. A student can download the Class 8 maths RS Aggarwal solutions chapter 1 pdf for free from the Vedantu website.

Every student has the misconception that geometry, mensuration, and trigonometry are the most difficult sections of mathematics, it is true, but only considering these sections as difficult is not acceptable. The chapter rational number is also a problematic section of mathematics that has the capability of confusing a student quickly. So it is very much essential to have a strong and clear knowledge of the concepts and formulas of rational numbers. Students will learn a lot from these solutions in this chapter. Here are a few concepts that they will understand better while referring to the solution file.

Meaning of Rational Numbers

A rational number is considered as a number that can be expressed in the form of a quotient or fraction of two integers which can be either positive or negative.  The fraction is expressed in the form of p/q where p is the numerator and q is the non-zero denominator. According to this concept, every integer is considered a rational number. For example, 5 is an integer as well as a rational number because 5/1 =  5. It is said that zero is also a rational number and can get written in the form of 0/2, 0/3, 0/4, etc. But a zero can't be in the denominator because it is not solvable.

Types of Rational Numbers

There are two types of rational numbers, namely standard form rational numbers and positive & negative rational numbers. A number is considered as a standard form if it doesn't have any common factors but only has two factors that are the dividend and the divisor. Positive rational numbers are those numbers that have both positive and negative numbers in the fraction. Negative rational numbers are those numbers in which one of the numbers in the fraction is negative. Rational numbers can be confusing, but if appropriately understood after gaining all the knowledge, then it can turn out to be comfortable and more straightforward.

Importance of Class 8 Maths RS Aggarwal Solutions Chapter 1

Students who want o become stronger in mathematics and want to clarify their doubts must try to solve all the exercise problems in order to secure good marks in the exams. The best way to do this is by practising more problems with the help of RS Aggarwal solutions Class 8 ch 1 because it has a lot of benefits. Some of its benefits are as follow:

  • The solutions are given in a simple manner and are explained in a brief way so that there will be no difficulties in understanding the concepts.

  • The solutions are prepared by subject matter experts and teachers who have more than one year of experience in this teaching field. This ensures that there are no mistakes committed in the solutions.

  • The solutions are prepared considering the rules and regulations formulated by the board.

  • The solutions are for questions that are most likely to come in the exams.

Download this solution file for rational numbers today from Vedantu. You will find solving the questions given in the exercise easier to comprehend. Also, you can easily grab the concepts of approaching these problems in an exam and save time while completely answering all the questions. Add this file to your study material and start preparing this chapter.

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FAQs on RS Aggarwal Class 8 Mathematics Solutions for Chapter-1 Rational Numbers

1. How do you find the additive inverse of a rational number in RS Aggarwal Class 8 Maths, Chapter 1?

To find the additive inverse of any rational number, you simply change its sign. If the number is positive (like 5/9), its additive inverse is negative (-5/9). If the number is negative (like -3/8), its additive inverse is positive (3/8). The core principle is that a number and its additive inverse must add up to zero.

2. What is the step-by-step method to represent a rational number like 4/7 on the number line as per the solutions?

To represent 4/7 on a number line, follow these steps:

  • Draw a straight line and mark the integer points, especially 0 and 1, since 4/7 is between them.
  • Divide the segment between 0 and 1 into 7 equal parts (because the denominator is 7).
  • Starting from 0, count 4 of these parts to the right.
  • The fourth mark represents the position of the rational number 4/7.

3. How is the distributive property used to simplify problems in RS Aggarwal Class 8 solutions for Rational Numbers?

The distributive property of multiplication over addition, a × (b + c) = (a × b) + (a × c), is used to simplify complex expressions. For example, to solve 2/5 × (-3/7 + 1/4), you can multiply 2/5 by -3/7 and 2/5 by 1/4 separately and then add the results. This method often helps break down a difficult problem into simpler calculations.

4. What is the correct method for comparing two negative rational numbers, like -3/4 and -5/6, using the techniques in this chapter?

To compare two negative rational numbers, you should first make their denominators equal.

  • Find the Least Common Multiple (LCM) of the denominators. The LCM of 4 and 6 is 12.
  • Convert each number to an equivalent fraction with a denominator of 12. -3/4 becomes -9/12, and -5/6 becomes -10/12.
  • Now, compare the numerators. For negative numbers, the one with the smaller absolute value is greater. Since -9 is greater than -10, it means -9/12 > -10/12.
  • Therefore, -3/4 > -5/6.

5. Why is it necessary to find a common denominator when adding or subtracting rational numbers, but not when multiplying them?

Finding a common denominator is essential for addition and subtraction because these operations require combining or taking away parts of a whole. The denominator represents the size of these parts. To combine them accurately, the parts must be of the same size. Multiplication, however, is a process of scaling or finding a 'fraction of a fraction,' so you can directly multiply the numerators and denominators without needing same-sized parts.

6. How do you find five rational numbers between -1 and 0, and is there only one correct set of answers?

To find rational numbers between -1 and 0, you can express them with a larger common denominator. For instance, write -1 as -6/6 and 0 as 0/6. Now, you can easily pick the numbers between them: -5/6, -4/6, -3/6, -2/6, and -1/6. Importantly, this is not the only correct answer. There are infinite rational numbers between any two rational numbers; using a larger denominator like 10 (-10/10) would give you a different set of numbers.

7. What is a common mistake students make when finding the multiplicative inverse (reciprocal) of a mixed fraction in RS Aggarwal exercises?

A frequent error is to find the reciprocal of the whole number and the fraction part separately. The correct method is to first convert the mixed fraction into an improper fraction. For example, to find the reciprocal of 3 1/2, you must first convert it to 7/2. Only then can you find its reciprocal, which is 2/7.

8. What is the role of '1' in the properties of rational numbers, as explained in Chapter 1?

In the context of rational numbers, the number '1' is known as the multiplicative identity. This is because multiplying any rational number (p/q) by 1 results in the same rational number (p/q). This property is fundamental to many simplification and verification steps shown in the RS Aggarwal solutions.