# CBSE Class 7 Maths Revision Notes Chapter 8

## CBSE Class 7 Mathematics Chapter 8 Revision Notes – Comparing Quantities

The Class 7 Mathematics Chapter 8 Revision Notes Comparing Quantities will help the students understand the basic and advanced concepts related to the topic. The language used in these notes is easy and simple so that students can understand them. Extramarks recommends that students read NCERT books along with these notes for better conceptual clarity. One should give full attention to the topics taught in Class 7 as they lay the foundation for higher studies.

Students can also access other study materials such as CBSE sample papers, CBSE past years’ question papers, CBSE extra questions, etc., from the website of Extramarks.

### Revision Notes For Class 7 Mathematics Chapter 8 Comparing Quantities

Students who find Mathematics Chapter 8 difficult can refer to the notes designed by the experts at Extramarks. All the points mentioned in Class 7 Chapter 8 Mathematics Comparing Quantities Notes are short and given in a precise manner so that students can understand them easily.

Students can access all the required study materials from the platform Extramarks without any hassle to prepare for the final examination. Candidates can rely on the content generated by Extramarks as it is created in accordance with the CBSE guidelines. In addition, the CBSE syllabus is followed adequately while preparing these notes.

8.1 Introduction

• Through Class 7 Mathematics Chapter 8 Comparing Quantities Notes, students will learn how one can compare two different quantities.
• In addition, through Chapter 8, candidates will understand how quantities can be inverted according to the situations and written as part of one quantity and another.
• The ratio of two different quantities in different scenarios can vary.
• The comparisons of two quantities are relative and may be different for two situations and examples related to them.

### 8.2 Equivalent Ratios

• In the equivalent ratios, two different ratios can be written in the form of fractions and may be compared by converting them into ‘like fractions’, having the same denominator.
• If the solution is equal, then it indicates that ratios are equivalent.

### 8.3 Percentage – Another Way of Comparing Quantities

Percentages can be calculated by following the methods as numerators of fractions, with the denominator being 100, and they can be used to compare the results around the world.

### 8.3.1 Meaning of Percentage

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. The term percent means “per 100.”The symbol “%” stands for it.8.3.2 Converting Fractional Numbers to Percentage

The following is the procedure to convert a fraction to a percentage.

Step 1: Divide the numerator by the denominator.

Step 2: Add 100 to the result to get the final number.

Step 3: The fraction as a percentage is the outcome.

### 8.3.3 Converting Decimals to Percentage

By multiplying the decimal number by 100 and adding the “%”, you can convert a decimal to a percentage.

### 8.3.4 Converting Percentages to Fractions or Decimals

Divide the given percentage by 100 and eliminate the percent sign to convert it to a fraction. Remove the decimal point and divide by 100 to convert a decimal percent to a fraction. Next, add as many zeros to the denominator power of 10 multiplication as there are decimal places in the numerator.

### 8.3.5 Fun with Estimation

Percentages help us to estimate the parts of an area.

8.4.1 Interpreting Percentages

We observed the value of percentages in comparison. Additionally, we now know how to convert fractional and decimal quantities to percentages. We will now discover practical applications for percentages. In order to do this, we first interpret the following statements.

— Ravi saves 5% of the money.

— Approximately 20% of Meera’s gowns are blue.

— Rekha earns 10% from each book she sells.

What conclusions can you draw about each of these claims?

By “5%,” we mean “5% of 100,” or we abbreviate it as 5/100 indicates that Ravi is saving. Thus, out of every 100 dollars, he saves 5 USD. This is how we “interpret percentages”.

8.4.2 Converting Percentage to “How Many”

To convert percentage into “how many”, we can use the percentage formula “P% * X = Y”.

8.4.3 Ratios to Percent

The ratio is converted to a percentage using the formula of ratio to percentage. The formula for converting ratios to percentages is as follows: Ratio = Percentage * 100

• The sign % is used to denote the percentage.

8.4.4 Increase or Decrease as Percent

To find the increase as percent follow the steps listed below.

Step 1: Figure out how much the two numbers you are comparing differ. (increase)

[Increase = New Number – Original Number]

Step 2: Divide the “increase number” by the original number and then proceed further by multiplying it by 100.

To find the decrease as percent follow the steps listed below.

Step 1: Figure out how much the two numbers you are comparing differ. (decrease)

[Decrease = Original Number – New Number]

Step 2: Divide the “decrease number” by the given original number and then multiply the answer by 100.

### How can Comparing Quantities Class 7 Notes help students to score good marks in exams?

The children will comprehensively understand the chapter “Comparing Quantities” by studying the Class 7 Mathematics Chapter 8 Notes in addition to the CBSE notes. These notes will help students solve their problems and offer solutions to complete the chapter’s essential tasks with ease.

The Class 7 Mathematics Chapter 8 Notes were written by the specialists at Extramarks and cover all the crucial ideas of “Comparing Quantities.” The following characteristics of the Chapter 8 Mathematics Class 7 Notes will help the students get good grades for the following reasons.

• The language is understandable and clear.
• The notes were produced based on the CBSE’s most recent recommendations.
• The theories are supported by a large number of examples.
• The chapter’s key concepts are fully covered in the Chapter 8 Mathematics Class 7 Notes.

### About CBSE Class 7 Mathematics Chapter 8 Comparing Quantities

The Class 7 Mathematics Chapter 8 Notes might help the students comprehend the key concepts of the important chapter “Comparing Quantities.” The written notes are comprehensive and follow CBSE guidelines. These CBSE review notes, written by an Extramarks expert, can help students better understand the chapter.

### Why Prefer Extramarks Comparing Quantities Class 7 Notes?

Prefer the Extramarks Class 7 Mathematics Chapter 8 Notes because they will help you score good marks. Here are some expert recommendations to help you get good grades.

• Revise regularly.
• Give practice tests.
• Practice sums regularly.
• Go through the chapter guidelines.
• Read the NCERT chapters thoroughly.

To substantiate your answer read the Class 7 Mathematics Chapter 8 Notes

## FAQs (Frequently Asked Questions)

### 1. What are the important concepts that need to be covered under the “Comparing Quantities” chapter?

The important topics that need to be covered in the Class 7 Mathematics Chapter 8 Notes are as follows.

• Equivalent Ratios
• Ratios to Percent
• Fun with Estimation
• Meaning of Percentage
• Interpreting Percentages
• Interest for Multiple Years
• Profit or Loss as a Percentage
• Increase or Decrease As Percent
• Converting Decimals to Percentage
• Converting Percentage to “How Many”
• Converting Fractional Numbers to Percentage
• Prices Related to an Item or Buying and Selling
• Converting Percentages to Fractions or Decimals
• Percentage – Another Way of Comparing Quantities
• Charge Given on Borrowed Money or Simple Interest

### 2. Is it important to practice the Class 7 Mathematics Chapter 8 important questions for the final exam?

Yes, you must practice all the important questions that are accessible for Class 7 Mathematics Chapter 8. You will understand the question format that is followed for the exam.

### 3. In what ways can Comparing Quantities Class 7 Chapter 8 Notes aid students in scoring high marks in their exams?

In addition to studying the CBSE notes, the children will be able to thoroughly understand the chapter “Comparing Quantities” in Class 7 Mathematics. Students can use these notes to solve their problems and provide solutions to the chapter’s essential tasks.

### 4. What is the format for converting into the ratio in percentage?

The formula for converting ratios to percentages is as follows: Ratio = Percentage * 100