 # NCERT Solutions for Class 7 Maths Chapter 1 Free PDF Download ## NCERT solutions for class 7 Maths Chapter 1 Integers

Learning of fundamentals is very important. NCERT Solutions for Class 7 Maths Chapter 1 will strengthen student’s fundamental concepts regarding integers and whole numbers to score better marks. Our expert teachers are constantly working hard for the subject to give the best NCERT solutions for class 7 Maths Chapter 1 Integers.

NCERT solutions for class 7 Maths Chapter 1 Integers is extremely helpful in revising complete syllabus and getting a strong base and give step by step solution for all questions of the chapter. NCERT solutions for class 7 Maths Chapter 1 Integers will also help students to do their homework in a more effective way.

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### CBSE Class 7 Maths Chapter 1 – Integers

NCERT solutions for class 7 Maths Chapter 1 Integers help students to understand numbers and integers with their related operations like additions, subtractions in a self-explanatory format. Information collected in our day to day life contains integers. The different types of problems and examples will help to get strong concepts of the number system.

### Sub-topics covered under NCERT Solutions for Class 7 Maths Chapter 1

• 1.1  INTRODUCTION
• 1.2  RECALL
• 1.3 PROPERTIES OF ADDITION AND SUBTRACTION OF INTEGERS
• 1.3.2  Closure under Subtraction
• 1.3.3  Commutative Property
• 1.3.4  Associative Property
• 1.4  MULTIPLICATION OF INTEGERS
• 1.4.1  Multiplication of a Positive and a Negative Integer
• 1.4.2  Multiplication of two Negative Integers
• 1.4.3  Product of three or more Negative Integers
• 1.5  PROPERTIES OF MULTIPLICATION OF INTEGERS
• 1.5.1  Closure under Multiplication
• 1.5.2  Commutativity of Multiplication
• 1.5.3  Multiplication by Zero
• 1.5.4  Multiplicative Identity
• 1.5.5  Associativity for Multiplication
• 1.5.6  Distributive Property
• 1.5.7  Making Multiplication Easier
• 1.6  DIVISION OF INTEGERS
• 1.7 PROPERTIES OF DIVISION OF INTEGERS

### NCERT Solutions for Class 7 Maths Chapter 1

Integers and their concepts are the main base for mathematics. This chapter deals with organizing numbers and performing operations over them. Initially, such numbers are in the format of integers. The students will also learn about theorems based on the properties of integers.

Let us discuss the sub-topics in detail.

1.1: INTRODUCTION

As we know that integers from a bigger collection of numbers which contains whole numbers and negative numbers. In this chapter, the student will study more about integers, their properties, and operations.

1.2: RECALL

In this section, the student will learn about the concepts of numbers similar to the previous class.

1.3: PROPERTIES OF ADDITION AND SUBTRACTION OF INTEGERS

WE have learned that the sum of two whole numbers is again a whole number. This property is known as the closure property for the addition of the whole numbers.

1.3.2: Closure under Subtraction

WE have learned that the difference between two whole numbers is again a whole number. This property is known as the closure property for the subtraction of the whole numbers.

1.3.3: Commutative Property

We can add whole numbers in any order. So, addition is commutative for whole numbers.

1.3.4: Associative Property

Whole numbers are also following the associative property.

When we add zero to any whole number, then we get the same number. Thus zero is an additive identity for whole numbers.

1.4: MULTIPLICATION OF INTEGERS

We can multiply integers to get another integer. In this section, the student will learn how to multiply integers.

1.4.1: Multiplication of a Positive and a Negative Integer

This topic explains with the help of examples that while multiplying a positive integer and a negative integer we will get a negative integer.

1.4.2: Multiplication of two Negative Integers

This topic explains that while multiplying a negative integer and a negative integer we will get a negative integer.

1.4.3: Product of three or more Negative Integers

In this topic, student will learn that if the number of negative integers in a product is even, then the product is a positive integer otherwise the product is a negative integer.

1.5: PROPERTIES OF MULTIPLICATION OF INTEGERS

Some more properties related to multiplication of integers.

1.5.1: Closure under Multiplication

The product of two integers always gives an integer.

1.5.2: Commutativity of Multiplication:

Multiplication is commutative for the integers.

1.5.3: Multiplication by Zero:

Any integer gives zero after multiplication by zero.

1.5.4: Multiplicative Identity:

We know that one is the multiplicative identity for whole numbers. It is the multiplicative identity for integers as well.

1.5.5: Associativity for Multiplication:

This topic states that the product of three integers does not depend upon their grouping. This is called the associative property applicable for multiplication of integers.

1.5.6: Distributive Property:

This topic explains that the distribution of multiplication over addition is true for integers also.

1.5.7: Making Multiplication Easier:

We will learn that the commutativity, associativity, and distributivity of integers help to make our calculations simpler.

1.6: DIVISION OF INTEGERS:

Students will learn similar properties for integers based on division operations.

1.7: PROPERTIES OF DIVISION OF INTEGERS:

Students will learn various properties of integers with division operations. ### Download Toppr – Best Learning App for Class 5 to 12

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