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

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1. Give an overview of the chapter.

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, … }.

2. Explain the properties of multiplication of integers.

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.

3. Explain about addition and subtraction of integers.

**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.

4. How will Vedantu’s NCERT solutions guide me?

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.

5. What do you mean by Integers according to Chapter 1 of Class 7 Maths NCERT?

Integers are handy while performing various arithmetic operations, like addition, subtraction, multiplication, and division. An integer can primarily be described as a number that can be written with no fractional component. For example, 8, 67, 1, and −1956 are integers, while 1.125 and √5 cannot be termed under the category of integers. Integers are a crucial component of the Number System. For more elaborate explanations, visit the Vedantu website or app. You will also find numerous study modules on Vedantu.

6. What do you mean by commutative property according to Chapter 1 of Class 7 Maths NCERT?

When two integers are added, regardless of their order, the sum stays the same since they are commutative under addition. When two integers are added together, the result is always the same. Similarly the commutative property of integer multiplication says that the outcome is unaffected by the order of the operands or the integers. As a result, integer operations such as multiplication and addition are commutative. Practice as many problems as you can to completely grasp the concept of commutative property.

7. What do you mean by associative property according to Chapter 1 of Class 7 Maths NCERT?

When three or more numbers are put together in any sequence, their total or product remains the same. This is known as the associative property of numbers in mathematics. To put it another way, no matter what sequence we put the parenthesis around the numbers, the answer will always be the same. Only addition and multiplication are associative with the associative property in arithmetic. Practice as many problems as you can to comprehend the notion of associative property thoroughly.

8. What do you mean by additive identity according to Chapter 1 of Class 7 Maths NCERT?

A real number can be added to zero or another real number, and you'll receive the same real number either way. This can be referred to as the additive identity. The zeroth digit is referred to as the additive identity since it is the identity element. Any element to which an identity element is introduced remains unaltered after the addition. It is important to understand this concept before proceeding to the exercises. Visit the Vedantu site if you require more problems with this concept.

9. How to download the Solutions for Class 7 Math Chapter 1 Exercise 1.1?

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