NCERT Solutions for Class 7 Maths Chapter 1 Integers (EX 1.1) Exercise 1.1

NCERT Solutions for Class 7 Maths Chapter 1 Integers (EX 1.1) Exercise 1.1

NCERT Solutions for Class 7 Chapter 1- Integers Exercise 1.1 have been systematically prepared by Vedantu’s expert teachers. Class 7 Maths Chapter 1 Exercise 1.1 Solutions are easy to understand and a hundred per cent accurate. They have been drafted on the basis of updated CBSE guidelines. You can download them as per your convenience and keep them handy for exam preparation. On Vedantu App, the NCERT Solutions for Class 7 Maths Integers Exercise can be easily downloaded in free PDF formats. Download Vedantu NCERT Book Solutions to get a better understanding of all the exercises questions. Register and get all exercise solutions in your emails. Subjects like Science, Maths, English, Social Science, Hindi will become easy to study if you have access to NCERT Solution for Class 7 Science , Maths solutions and solutions of other subjects. You can also download NCERT Solutions for Class 7 Maths to help you to revise complete syllabus and score more marks in your examinations.

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NCERT Solutions for Class 7 Maths Chapter 1 part-1

CBSE Class 7 Maths Chapter 1 Exercise 1.1 Solutions

 In class 6, students have learned about the fundamental definition and meaning of Integers and Whole Numbers. In class 7, they will learn in detail about integers, the properties of integers, and the operations of integers. Class 7 Chapter 1 covers a variety of significant topics and subtopics. Some of them have been listed below. 

  • Introduction to integers
  • Recalling of Concepts
  • Properties of Addition and Subtraction of Integers
  1. Closure under Addition
  2. Closure under Subtraction
  3. Commutative Property
  4. Associative Property
  5. Additive Property

  • Multiplication Of Integers

  1. Closure under Multiplication
  2. Commutativity of Multiplication
  3. Multiplication By Zero
  4. Associativity for Multiplication
  5. Distributive Property
  6. Making Multiplication Easier
  • Division of Integers
  • Properties of Division of Integers

Class 7 Maths Chapter 1 Exercise 1.1 PDF deals with the introduction to Integers. It lays out all the fundamental concepts about integers that are necessary for you to understand the rest of the chapter easily. It is important that you solve the Class 7 Maths Chapter 1 Integers Exercise 1.1 with full concentration in order to effectively learn the subsequent parts. NCERT Solutions for Class 7 Maths Integers Exercise 1.1 includes all possible and important question types from the Introduction to Integers part of this chapter. Class 7 Maths Exercise 1.1 questions and answers contain detailed step by step solutions that make first time learning and revision sessions simple and effective. 

NCERT Solutions for Class 7 Maths Integers Exercise 1.1 includes all solved examples, solutions to all practice exercises, and an ample amount of problem sums to practice. This helps you clear all your doubts and solve sums from this chapter confidently. CBSE Class 7 Maths Chapter 1 Exercise 1.1 Solutions will not only help you get a good grip on the chapter Integers but also help you master the concepts and perform better in your exams. Learning exercise 1.1 class 7 will help you build a solid conceptual foundation. This will help you solve complex problems all throughout your student life.

A subject like Maths can seem intimidating and daunting, especially in the formative years of your student life, such as Class 7 and Class 8. It is so because of the element of uncertainty and unpredictability associated with it, unlike theory subjects. Since Maths is very logic and aptitude based subject, complete conceptual clarity requires the systematic practice of the subject. Vedantu’s NCERT Solutions help you do just that.

Vedantu’s Exercise 1.1 Class 7 PDF has been drafted in a manner that makes learning about integers interesting, engaging, and fun, and successful. It includes all the requisite formulas, examples, answers, that you need to understand clearly and study efficiently. 

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FAQs (Frequently Asked Questions)

Q 1: Give an overview of the chapter.

Ans: Integers are the numbers that have no fractional part or decimal. The difference between two consecutive integers is one unit. These can be negative or positive. The familiarity of an integer will help you in dealing with real-life problems. For example, calculating lengths or other dimensions, counting money, increase in price, age, etc. Without a proper understanding of integers, one cannot attain computing efficiency. Many students face difficulties in understanding the concepts of integers.

Natural Numbers: The collection of all the counting numbers is called a set of natural numbers. It is denoted by N = {1,2,3,4….}.

Whole Numbers: The total collection of natural numbers which consists of zero is known as a set of whole numbers. It is denoted by W = { 0, 1, 2, 3, 4, 5, … }.

Q 2: Explain the properties of multiplication of integers.

Ans: Below are the properties of multiplication of integers. 

Closure Under Multiplication

  • For every integer a and b, a×b=Integer

Commutative Property of Multiplication

  • For every integer a and b, a×b=b×a

Multiplication by Zero

  • For every integer a, a×0=0×a=0

Multiplicative Identity

  • For every integer a, a×1=1×a=a. Here 1 is the multiplicative identity for integers.

Associative Property of Multiplication

  • For every integer a, b  and c,  (a×b)×c=a×(b×c)

Distributive Property of Integers

  • Under multiplication and addition, integers determine the distributive property.

i.e., For every integer a, b  and c,  a×(b+c)=a×b+a×c

These properties make calculations easier.

Product of an even number of negative integers is positive and product of an odd number of negative integers is negative.

Q 3: Explain about addition and subtraction of integers.

Ans: Addition of Integers: In this section of chapter 1 of NCERT Solutions for Class 7 Maths, you will learn about the mathematical operations of integers which are complicated and confusing as you have to be careful with ‘+’ and ‘-’ sign while calculating the answer. The rule is to add when you have two positive or negative numbers. However, in the case of the former, you will put ‘+’ sign with the final answer whereas ‘-’ sign in the latter cases. 

Subtraction of Integers: In this section of NCERT Class 7 Maths Chapter 1 will teach you subtraction of integers on a number line. You will learn about the rules of subtracting negative numbers and additive inverse. Our subject experts have used easy and simple language along with the short cut techniques to teach you about integers and their calculations.

Q 4: How will Vedantu’s NCERT solutions guide me?

Ans: Our NCERT Solutions are the perfect study material for the students of Class 7. The solutions provided by us will help them gain a better understanding of various characteristics related to Maths. All our Solutions are written in a very simple language to make better use of it. 

NCERT Solutions for Class 7 maths will help the students to ace the exam. The substantial practice will make sure that the students write the exams with more confidence. This will aid the students in evaluating their comprehension completely. The solutions provided by us will help you in gaining knowledge and create a strong foundation with the concepts.

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