NCERT Solution for Class 8 Mathematics Chapter 13 – Direct and Inverse Proportions
Mathematics has constantly been gaining importance for years due to its wide range of applications. Many students find Mathematics to be hard, but with planned study, Mathematics can turn out to be the most interesting subject for them.
The chapter’s direct and inverse proportions are based on the proportionality of various conditions or applications directly or indirectly. This would help students to interpret conditions in different types of word problems and jump to conclusions in their higher classes. Students will be able to do situational analysis and write equations accurately after completing this chapter.
You will find a detailed guide for Class 8 Mathematics Chapter 13 in the NCERT Solution for Class 8 Mathematics Chapter 13. We have suggested certain steps to analyse any given word problem followed by writing the correct equations that will be helpful in almost every section of Algebra in higher classes of Mathematics.
Extramarks’ believe in high-quality academic content. Hence, all our NCERT Solutions for Class 8 Mathematics Chapter 13 are prepared by Mathematics teachers with decades of experience. You can avail of NCERT study material, NCERT solutions, CBSE revision notes, important set of questions with solved answers, and all other resources from our Extramarks’ website.
After studying and revising the chapter from our NCERT study solutions, students will get rid of their fears of solving word problems. As a result, they would approach their school as well as competitive examinations with more confidence.
Key Topics Covered In NCERT Solution for Class 8 Mathematics Chapter 13
Class 8 Mathematics Chapter 13 helps in formulating the concepts of forming an equation in different conditional applications, which is largely used in the study of Algebra.
Our academics team has structured the study notes in our NCERT Solution for Class 8 Mathematics Chapter 13 in a way that students will gain full understanding about the chapter Direct and Inverse Proportions. We have also provided a step by step guide to solving any given problem within a stipulated time frame. You can get access to our Class 8 Mathematics Chapter 13 solutions from our Extramarks’website.
Introduction
In this chapter, we will cover proportionality. To explain proportionality, we are giving some examples below that will help you in understanding what proportionality is.
For example,
- If we increase the number of articles, its cost also increases.
- If more money is deposited in the bank, more interest is earned.
- If the speed of a vehicle increases, the time taken to cover the same distance will decrease.
- In office work, the more the workers, the less time is taken to cover the work will be less.
For more examples to understand this concept, students can refer to our NCERT Solution for Class 8 Mathematics Chapter 13. The NCERT solutions are designed to meet the demands of students in order to help them prepare for exams and score good marks.
Direct Proportions
This section talks about the direct proportions. Direct proportions is the direct relationship between two variables.
Say, there are two variables X and Y. If there is an increment in X, there will be an increment in Y too i.e if there is an increment in an object, then there will be an increment in other objects too.
The two variables X and Y are said to be in direct proportions
If X/Y = k or X = k.Y,, then the variables X and Y are in direct proportions, where k is the proportionality constant
Also, the direct proportions are given by X1.X2 = Y1.Y2
To learn more about the direct proportionality in detail, please go through our study material on our Extramarks’ website and refer to NCERT Solution for Class 8 Mathematics Chapter 13. All the concepts will be cleared through our NCERT solutions. As a result, it will help in building up their confidence.
Inverse Proportions
In this section, we will learn about the inverse proportions. Inverse Proportion is the inverse relationship between two variables. Say there are two variables X and Y. If there is an increment in X, then there will be decrement in Y i.e. if there is an increment in one object, then there will be a decrement in other object.
The two variables X and Y are said to be in inverse proportions,
If X1 .Y1 = X2 .Y2 then the variables X and Y are in inverse proportions.
It is also given by X1/X2 = Y2/Y1 or X.Y= k , where k is the proportionality constant.
To get more detailed knowledge about the inverse proportions, refer to our NCERT Solution for Class 8 Mathematics Chapter 13 available on Extramarks’ website. The NCERT solutions provide detailed chapter-end questions which help them to comprehend the concepts. Hence, students learn to manage their time efficiently during their preparation.
NCERT Solution for Class 8 Mathematics Chapter 13 Exercise & Solutions
We design NCERT solutions in the best way for the students. NCERT Solution for Class 8 Mathematics Chapter 13 includes all the exercises and solutions from the NCERT textbook. It is updated as per the latest CBSE syllabus. All the solutions are checked and analyzed by the subject matter experts before handing them over to students. Hence, you can trust the resources and use them to the fullest.
You can find for exercise specific questions and solutions for NCERT Class 8 Mathematics Chapter 13 by referring to the following links:
Along with NCERT Solution for Class 8 Mathematics Chapter 13, students can explore NCERT solutions on our Extramarks’ website for all primary and secondary classes.
NCERT Exemplar for Class 8 Mathematics
NCERT Exemplar Class 8 Mathematics is a perfect guide for all the students who want to be a step ahead in their preparation. It has questions designed by a team of experts. Hence, one can trust its content and give credibility to all its resources.
The questions are NCERT based advanced level questions. Once students become capable of solving questions from these books, they can easily solve their NCERT Book level questions and hence will start scoring good marks in their examinations.
Students are advised to include NCERT Exemplar books in their study material by the experts because of the quality of questions. Students should study concepts from the NCERT Solution for Class 8 Mathematics Chapter 13 and practice problems from NCERT Exemplar. Once they do this, they will see a drastic change in their learning pattern.
Key Features of NCERT Solution for Class 8 Mathematics Chapter 13
In order to excel in examinations, the conceptual understanding must be strong. Hence, NCERT Solution for Class 8 Mathematics Chapter 13 deeply emphasises on clarifying all your concepts. The key features are as follows:
- You will find all the academic notes being presented in a way that will help in quick understanding of each and every concept.
- You will also grasp the interlinked concepts in an efficient way, thus improving scores.
- After completing the NCERT Solution for Class 8 Mathematics Chapter 13, you will become an expert in solving word problems based on questions