NCERT Solutions Class 8 Maths Chapter 8 Comparing Quantities
The NCERT solutions for Class 8 maths Chapter 8 Comparing Quantities is a part of already learned mathematical principles about simple mathematics to calculate the value of money. At the very beginning of mathematics we learn the first few numbers, then the sequencing and further we discover how much one number is bigger or smaller than the other. This was the very beginning of comparing numbers wherein the yardstick was the distance of the number from zero in the number line.
Now instead of using the number zero as the absolute, concepts like percentages and fractions are covered in the NCERT solutions Class 8 maths Chapter 8 which will help demonstrate the comparison of quantities. And then this concept will be used to calculate many practically faced problems. The very idea of comparison involves measuring both the quantities against a standard to know how much more, less, or equal one quantity is in relation to the other. In Class 8 maths NCERT solutions Chapter 8 the questions include a variety of exercises that are designed to understand the core concepts and help to practice the many different variations and usages of them. The pdf file of this chapter can be found below and also you can find some of these in the exercises given below.
- NCERT Solutions Class 8 Maths Chapter 8 Ex 8.1
- NCERT Solutions Class 8 Maths Chapter 8 Ex 8.2
- NCERT Solutions Class 8 Maths Chapter 8 Ex 8.3
NCERT Solutions for Class 8 Maths Chapter 8 PDF
The concept of comparing quantities forms the basis for many higher math topics ahead, as well as it is a practically important skill to have in order to solve real-life problems. Hence, sufficient practice on the same is required to build up quick mental math skills, which will help students in the examinations, enabling them save enough time on calculations. A brief of the exercises in the NCERT solutions Class 8 maths Chapter 8 can be seen below :
☛ Download Class 8 Maths NCERT Solutions Chapter 8
NCERT Class 8 Maths Chapter 8
NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities
Comparing quantities holds an important place in everyday lives, it is one of the core reasons mathematics was devised. Numbers on their own reflect comparison and owing to the everyday scenarios which require comparisons it was necessary to find new ways of comparing quantities.
Hence, in mathematics, they devised a way to compare quantities even when numerically they are not comparable. The comparing quantities chapter provides the description of the theory and its application in order to understand the concepts better and faster. An exercise-wise detailed analysis of the class 8 maths NCERT solutions chapter 8 can be found in the pdf below :
- Class 8 Maths Chapter 8 Ex 8.1 - 6 Questions
- Class 8 Maths Chapter 8 Ex 8.2 - 11 Questions
- Class 8 Maths Chapter 8 Ex 8.3 - 11 Questions
Topics Covered: The class 8 maths NCERT solutions Chapter 8 discusses the ways in which the different quantities can be compared making use of fractions and percentages, how to perform calculations involving fraction and percentage values, and their real-life applications. Also, the introduction of the time value of money and how simple, as well as compound interest, are calculated is explained with the help of practical examples.
Total Questions: The class 8 maths Chapter 8 Comparing Quantities consists of a total of 28 questions out of which 7 are easy, 7 are moderately easy and 14 are long answer type sums.
List of Formulas in NCERT Solutions Class 8 Maths Chapter 8
The NCERT solutions Class 8 maths Chapter 8 talks about some of the important facts while dealing with comparing quantities using numbers. We know that to compare two things, they need to be measured against a standard. The important mathematical tools that are created to compare quantities have been elaborated upon in the NCERT solutions Class 8 maths Chapter 8 some of which are given below :
- To compare two quantities, percentage uses number 100 as absolute
- Discount = Marked Price - Sale Price
- Simple Interest = ( Principal x Rate x Time )/100
- Compound Interest Formula = Amount - Principal,
Amount if the interest is to be calculated annually = Principal ( 1 + Rate/100)n, where ‘n’ denotes the time period.
FAQs on NCERT Solutions Class 8 Maths Chapter 8
Why are NCERT Solutions Class 8 Maths Chapter 8 Important?
The NCERT Solutions Class 8 Maths Chapter 8 will help in understanding how the world functions. When we say phone battery is 76 percent charged, what does that percent in the end mean or what do the discounts that the shops advertise refer to, will become clear after going through this chapter. There is mathematical ingenuity to know about how mathematicians have devised ways to compare quantities that otherwise cannot be compared or expressed in relation to others. The NCERT team has made sure to cover all of these concepts in a gradual manner through appropriate explanations of examples, making these solutions a very important resource of learning math.
Do I Need to Practice all Questions Provided in NCERT Solutions Class 8 Maths Comparing Quantities?
While mathematics like any other field requires practice, the NCERT Solutions Class 8 Maths Comparing Quantities in particular though being very simple, has a variety of uses that makes it a very layered topic. Hence, the students must make sure to practice all the examples step by step and they must try to solve all the exercise questions in order to explore all the challenging aspects of the topic, making them confident in approaching any math problem.
What are the Important Topics Covered in Class 8 Maths NCERT Solutions Chapter 8?
The NCERT Solutions Class 8 Maths Chapter 8 covers the tools known popularly as percentages, fractions or ratios, compound interest, etc. What is the rationale behind percentages and ratios, what are their properties, and how they can be used are outlined in detail with relevant practical examples?
How Many Questions are there in NCERT Solutions Class 8 Maths Chapter 8 Comparing Quantities?
The NCERT Solutions Class 8 Maths Chapter 8 Comparing Quantities consists of a total of 28 questions. The students will be able to solve 16 of them very easily as they follow the direct logic of finding the ratio or percentage, 7 would require a bit of logical thinking while the remaining 5 can be categorized as long-form questions as they involve lengthier calculations.
How CBSE Students can utilize Class 8 Maths NCERT Solutions Chapter 8 effectively?
The NCERT Solutions Class 8 Maths Chapter 8 has well-curated examples involving cases from real-life situations, and exercise questions covering all the important concepts of the topic. Hence, the students must first read the text of the book properly to gain a good understanding and thereby practice all the examples along with the exercise questions. The highlights presented in between the chapter should also be focussed on and learned well in order to utilize these solutions effectively.
Why Should I Practice NCERT Solutions Class 8 Maths Comparing Quantities Chapter 8?
The CBSE board strongly advises studying from the NCERT Solutions Class 8 Maths Comparing Quantities Chapter 8, confirming the value of the information contained in the book. NCERT's team ensures that enough study is done before coming up with relevant, simple explanations of all topics using real-life examples and practice problems. Thus, students should practice these solutions in order to get a more in-depth comprehension of the subject in a simple and strategic manner.