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Concise Mathematics Class 7 ICSE Solutions for Chapter 1 - Integers

ICSE

Concise Mathematics Class 7 ICSE Solutions for Chapter 1 - Integers

Class 7 Mathematics Chapter 1 Solutions - Free PDF Download

Updated ICSE Class 7 Mathematics Chapter 1 - Integers Selina Solutions are provided by Vedantu in a step-by-step method. Selina is the most famous publisher of ICSE textbooks. Studying these solutions by Selina Concise Mathematics Class 7 Solutions which are explained and solved by our subject matter experts will help you in preparing for ICSE exams. Concise Mathematics Class 7 ICSE Solutions can be easily downloaded in the given PDF format. These solutions for Class 7 ICSE will help you to score good marks in ICSE Exams 2019-20.

In this chapter, we are going to learn about integers. The study of Integers is one of the most important concepts as Integers are the number that is most commonly part of our day-to-day life.

Class 7 Mathematics Chapter 1 Solutions

Number Line

The number is the line on which real numbers are represented. The integers are marked positions on the number line and they can be easily represented on the number line.

The midpoint of the number line is marked as 0.

It contains negative numbers on its left side. While it contains positive numbers on its other side.

The range of the number line is from negative infinity to positive infinity. The integer on the right side of the number line is always greater than the integer on the left side.

For example 8 > 7, 0 > -1, -1 > -2, etc.

There is no smallest integer as the number line extends to infinity on the negative side.

Algebraic Operations

Addition

The sum of two integers always results in the integer. Also, negative integers add up to give negative integers, whereas positive integers add up to give positive integers.

Subtraction

The difference between two integers always results in the integer. Subtraction is the opposite of addition and so we can write a + b as a + (-b).

Multiplication

The product of two integers is always an integer. The product of two negative integers and two positive numbers is always positive. Whereas, the product of one negative and one positive integer always results in a negative integer.

Divide

The quotient of two integers on dividing doesn't need to be an integer. The quotient of two negative integers and two positive numbers is always positive. Whereas, the quotient of one negative and one positive integer always results in a negative integer.

When We

Add a positive number in an integer and we move on the right side of the number line.
Add a negative number in an integer and we move to the left side of the number line.
Subtract a positive number from an integer then we move on the left side of the number line.
Subtract a negative number from an integer then we move the right side on the number line.

Properties of Integers

After Multiplying with 0 an integer becomes 0.

0*a = 0

The product of any integer with 1 will be its value.

a*1= a

Properties of Integers	Addition	Subtraction	Multiplication	Division
Closure properties (for two integers)	a+ b is an integer; integers are closed over addition.	a-b is an integer; integers are closed over subtraction	a*b is an integer; integers are closed over multiplication	Integers are not closed over Division
Commutative property ( for two integers)	a+b = b+ a ; The addition is commutative for integers.	a-b = b- a ; Subtraction is commutative for integers.	ab = b a ; The addition is commutative for integers.	The division is not commutative
Associative Property ( for three integers )	a+(b+c) = (a+b) + c ; Follow associative Property for addition	Subtraction is not associative	a(bc) = (ab) c ; Follow associative Property for multiplication	The division is not associative

Distributive Property of Multiplication over Addition

Distributive Property of Multiplication over Subtraction

For any three integers a,b and c ;

a*( b+c) = a*b + a*c

For any three integers a,b and c ;

a*( b+c) = a*b + a*c

FAQs on Concise Mathematics Class 7 ICSE Solutions for Chapter 1 - Integers

1. From where I can get the best solutions for Selina Concise Mathematics Class 7?

Vedantu is providing all of the Selina Concise Mathematics solutions of class 7th free. These solutions are prepared by subject matter experts and are easy to understand. Vedantu is also providing revision notes for this purpose so that you not only read the Solutions but understand them. You can also download the PDFs of solutions of all chapters of class 7th from the Vedantu platform. Students of class 7 can visit Vedantu to find the best solutions for Selina Concise Mathematics to revise during the exams.

2. Do I need to practice all of the questions of Selina Concise Mathematics Class 7?

If you are preparing for the long term and have sufficient time to solve all these questions then it would be very beneficial for you. However, if the exams are coming then you should solve some selective questions. Always select those questions which are more conceptual and are common for exams. You can also revise some of the previous year's questions from this chapter to get better results in a short time. Revising and practicing all questions will enhance the concepts of students.

3. How can I understand the integers chapter of Selina Concise Mathematics Class 7 well?

To understand the integers chapter of Selina Concise Mathematics of class 7th well, you just need to learn all the concepts well. Good command concepts can be a tool to get better results in. After learning all the concepts, you can make revision notes and can solve as many questions as you can do. It will surely enhance your capabilities. Students must solve all questions given in the Selina Concise Mathematics for class 7 to understand the concepts of integers.

4. Is doing only these questions from Selina Concise Mathematics Class 7 enough?

All chapters are nearly equally important for the exam. So you have to keep a good command over concepts for better results. Doing as many questions as you can surely boost your confidence and knowledge. You can also pick up some of the previous year's questions and most important questions from the platform of Vedantu. Students must solve questions from other books as well to understand the concepts of class 7 integers completely. Solutions for Selina concise mathematics class 7 are available on Vedantu for free.

5. From where I can get the best study material for Selina Concise Mathematics Class 7?

You can find Selina's concise mathematics solutions easily on Vedantu.The solutions are designed by experienced teachers and subject matter experts. Students can also download the free PDF of Selina's concise solutions of mathematics on the Vedantu. All solutions are well explained and designed creatively. All PDFs are free and easily available on the Vedantu platform. For a better experience, you can also use the app of Vedantu. You can also download Selina's concise mathematics class 6th chapters notes. At Vedantu, you can find the study material of ICSE, CBSE, and other state boards. Vedantu is also one of the best platforms in India to prepare for competitive exams like JEE and NEET.

The updated solutions for Selina textbooks are created by the latest syllabus. These are provided by Vedantu in a chapter-wise manner to help the students get a thorough knowledge of all the fundamentals.