What is the main objective of NCERT Class 7 Maths Chapter 1: Large Numbers Around Us?

The primary objective is to help students understand and work with large numbers, including concepts like lakhs and crores, their place values, and their representation in the Indian numbering system. It also aims to develop a sense of scale and approximation for large quantities.

How are large numbers represented in the Indian Place Value System?

In the Indian Place Value System, commas are used to separate periods. The first comma comes after the hundreds place (e.g., 5,830), and subsequent commas are placed after every two digits to the left, representing Lakhs, Crores, etc.

What is the significance of the "Land of Tens" section in this chapter?

The "Land of Tens" section uses different types of calculators to help students conceptually understand place value and how numbers are composed. It illustrates that a number can be formed by combining different multiples of 1, 10, 100, 1000, and so on, enhancing their number sense and understanding of numerical operations.

Does this chapter cover the International Place Value System?

While the provided NCERT textbook content primarily focuses on the Indian Place Value System for reading and writing numbers, the chapter briefly mentions the American (International) system for comparison in one of the search snippets, but the main textual content extracted focuses on the Indian system.

Why are real-world examples used to explain large numbers?

Real-world examples, such as population figures, heights of monuments, and waterfalls, are used to help students relate abstract numerical concepts to tangible experiences. This makes it easier for them to grasp the magnitude of large numbers and their practical applications.

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NCERT Solutions

Class 7

Maths

Chapter 1 Large Numbers Around Us

NCERT Solutions Class 7 Maths Chapter 1 Large Numbers Around Us

In NCERT Solutions Class 7 Maths Chapter 1 – Large Numbers Around Us, students will build upon the understanding of numbers and be introduced to how these large numbers are used in the world around us. Students will learn the ways to read, write, compare, and use some calculations with very large numbers - into the crores and more.

By examining real-world examples such as population figures, distances between planets, and national income, students will discover how large numbers appear in our everyday lives. The NCERT Solutions for Class 7 Maths Chapter 1 offers the complete and structured answers to the textbook questions step-by-step all the way to the practical use of large numbers.

1.0NCERT Solutions Class 7 Maths Chapter 1 Large Numbers Around Us: Download PDF

Download our FREE PDF of NCERT Solutions Class 7 Maths Chapter 1 – Large Numbers Around Us, exclusively crafted by experts at ALLEN.

NCERT Solutions for Class 7 Maths Chapter 1 - Large Numbers Around Us

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2.0Key Concepts in Chapter 1: Large Numbers Around Us

The first chapter of Class 7 Maths begins with real-world examples and builds up to numerical operations involving large values. Below are the key topics and concepts covered in this chapter:

1. Reading and Writing Large Numbers

Numbers beyond six digits (lakh, crore).
Indian and International Place Value System.
Writing numbers in words and numerals.
Example: 7,28,69,002 is written as “Seven crore twenty-eight lakh sixty-nine thousand and two” in the Indian system.

2. Comparing Large Numbers

Determining the greater or smaller among two large numbers using place values.
Useful in interpreting real-world data like populations or revenues.
Example: Comparing population of states using crores and lakhs.

3. Estimation

Estimating sums, differences, products, and quotients using rounding off.
Helps in mental math and checking the reasonableness of answers.
Example: Estimating total cost of multiple products in lakhs or crores.

4. Operations Using Large Numbers

Performing addition, subtraction, multiplication and division on 6-digit and 7-digit numbers.
Application-based questions involving cost, budget, distance, and more.

5. Use of Large Numbers in Daily Life

Data interpretation involving census, sports statistics, scientific data, etc.
Students are encouraged to explore examples around them (e.g., cricket scores, mobile users, metro city population).

6. Roman Numerals (Brief Introduction)

Conversion between Roman numerals and Hindu-Arabic numerals.
Application in daily life: Clock faces, event names, etc.

3.0Key Features of NCERT Solutions Class 7 Maths Chapter 1 : Large Numbers Around Us

Conceptual Clarity: Each concept, from understanding 'lakh' to mastering the Indian place value system, is explained in a clear and concise manner.
Step-by-Step Explanations: Solutions to all exercises are provided with detailed, easy-to-follow steps, making it simple for students to understand the reasoning behind each answer.
Real-World Relevance: The solutions connect mathematical concepts to real-life situations, helping students appreciate the practical application of large numbers.
Adherence to NCERT Syllabus: The solutions strictly follow the updated NCERT curriculum, ensuring that students are well-prepared for their examinations and aligned with academic standards.
Practice-Oriented Approach: Numerous examples and practice questions, derived directly from the textbook's activities, are included to reinforce learning and build confidence.
Downloadable PDF Format: Conveniently available as a PDF, allowing students to access the solutions offline anytime, anywhere.