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RS Aggarwal Class 7 Solutions Chapter-1 Integers

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Last updated date: 22nd Mar 2024
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MVSAT 2024

Class 7 RS Aggarwal Chapter-1 Integers Solutions - Free PDF Download

Class 7 is a foundation Class where the students are taught several basics in different subjects that will be very useful for their academic qualifications and career. Math, being one of the essential subjects, always requires extra practice and preparation.

 

Vedantu provides expertly and precisely designed Class 7 Math RS Aggarwal Chapter 1 solutions, sourced from the team's professionals and qualified Mathematics experts. RS Aggarwal Class 7, Math Ch 1 is about integers, various integers' properties, and several operations that can be performed on them. Integers are an essential part of the number system, and we deal with them frequently in our daily lives.

 

RS Aggarwal Class 7 solutions Chapter 1 are essential to help the students get the right reference material during their practice, and get an extra resource to study well and pass with flying colors. Furthermore, since it is a foundation Class, referring to Class 7 Math RS Aggarwal solutions, Chapter 1 is also recommended to sharpen the students' basics, thus helping them be the experts in their future. Register Online for NCERT Solutions Class 7 Science tuition on Vedantu to score more marks in CBSE board examination. Vedantu is a platform that provides free CBSE Solutions (NCERT).

RS Aggarwal Solutions for Class 7 Math Chapter 1

We have provided step by step solutions for all exercise questions given in the PDF of Class 7 RS Aggarwal Chapter-1 Integers. All the Exercise questions with solutions in Chapter-1 Integers are given below:

 

RS Aggarwal Class 7 Math Chapter 1 Solutions – PDF

Integers exist as both positive and negative ones. Several properties, including closure, commutative property, distributive behavior, additive identity, multiplication, and others, apply to them.

 

Vedantu provided solutions for RS Aggarwal Class 7 Chapter 1 Integers containing detailed descriptions of every solution, and the explanations for every step followed. RS Aggarwal solutions Class 7 ch 1 must be referred to, to better understand every concept involved in the entire Chapter.

 

Integers are the numbers that are capable of being represented without any fractional component. We can also refer to integers as a set of whole valued negative and positive numbers, including 0.

 

Class 7 Math RS Aggarwal Chapter 1 solutions contain 4 exercises, loaded with different questions from various concepts related to integers. Here is a list of all the essential topics that are included in RS Aggarwal Class 7 Math Chapter 1, Integers:

  • Addition of Integers.

  • Properties related to the addition of integers.

  • Subtraction of integers.

  • Properties related to subtraction of integers.

  • Multiplication of integers.

  • Properties related to multiplication of integers.

  • Division of integers.

  • Properties associated with the division of integers.

 

Importance of RS Aggarwal Solutions Class 7 Math Chapter 1

Since Class 7 Math contains various topics to sharpen the students' basics and help them prepare well and score well in their examinations, the students need to refer to different study materials, including RS Aggarwal, to learn and understand the concepts. Class 7 Maths RS Aggarwal Chapter 1 solutions are necessary because:

  • Class 7 Math RS Aggarwal solutions Chapter 1 are available in a detailed structure, ensuring that the students understand every concept and problem involved in the Chapter.

  • Vedantu provides the solutions designed by the experts of the branch, after keeping the students' levels in mind, thus are available in an easy language, with brief descriptions.

  • RS Aggarwal Class 7 Math Chapter 1 solutions help provide the students with an extra dose of practice, thus enabling them to be confident about their studies and eventually score well in the examinations.

 

Preparation Tips for RS Aggarwal Class 7 Math Chapter 1

  • To get a better understanding of Class 7 Math RS Aggarwal Chapter 1, the students must first refer to the syllabus and understand the Chapter's topics.

  • Further, the students must practise the book's problems in their academic curriculum, and then refer to RS Aggarwal for extra preparations.

  • The students must then refer to Class 7 Math RS Aggarwal solutions Chapter 1 to understand the methods for solving the problems. And then they must apply their understanding for solving other similar questions.


Class 7 Math Chapter 1 Solutions by RS Aggarwal, 2023-24 Simple step-by-step explanations for integers are provided here. These Integers Solutions are incredibly popular among Class 7 students since they help you do your homework and prepare for tests swiftly. 


Here you can find all of the problems and answers from Chapter 1 of the RS Aggarwal 2023-24 Book of Class 7 Math for free. You'll also like Vedantu's RS Aggarwal 2023-24 Solutions' ad-free experience. All of the RS Aggarwal 2023-24 Math Solutions have been produced by specialists and are 100 percent accurate.


Integer Addition and Subtraction Properties

  • Addition and subtraction closure

A+b and a–b are integers for every integer a and b.

  • The property of commutativity in addition

a+b=b+a for all integers a and b

  • Property of Associativity in Addition

for each of the integers a,b, and c, (a+b)+c=a+ (b+c)


Additive Inverse & Additive Identity

Additive Identity 

  • For each integer a, a+0=0+a=a, where 0 denotes Additive Identity because adding 0 to a number has no effect.

  • For instance, for the integer 2, 2+0 = 0+2 = 2.


Additive Inverse

  • a+(a)=0 for every integer a. The additive inverse of an is a, while the additive inverse of-a is a.

  • For example, the additive inverse of a number 2 is (– 2), and the additive inverse of (– 2) is 2. (Because 2 + 2 = 0)


Integers Division

  • The quotient obtained when a positive integer is divided by a positive integer is also a positive integer.

  • For instance, (+6) ÷ (+3) = +2

  • The quotient obtained when a negative integer is divided by a negative integer is a positive integer.

  • For instance, (-6) ÷ (-3) = +2.

  • The quotient obtained when a positive integer is divided by a negative integer or a negative integer is divided by a positive integer is a negative integer.

Example: (-6) ÷ (+3) =-2 and (+6) (-3) =2


Number Line

When we're on a number line,

  •  we move to the right by adding a positive integer to a given integer.

Example: To get +5, add +2 to +3 and then move 2 spots from +3 to right.


  • we go to the left by adding a negative integer to a given integer. 

Example: To gain +1, add -2 to +3 and then move 2 spots to the left from +3.


  • we shift to the left after subtracting a positive integer from a specified integer.

Example: To get -5, subtract +2 from -3 and then move 2 positions to the left from -3.


  • move to the right after subtracting a negative integer from a given integer.

Example: To get 1 while subtracting -2 from -3, shift 2 spaces from -3 to the right.


Integers’ Addition and Subtraction

  • +7 (a positive integer) has an absolute value of 7.

  • -7 (negative integer) has an absolute value of 7. (its corresponding positive integer)

  • A positive integer is obtained by adding two positive integers.

  • (+3)+(+4) = +7, for example.

  • A negative integer is obtained by adding two negative integers.

  • For instance, (-3)+(-4) = -3-4=-7.

  • The difference between a positive and a negative number is calculated, and the sign of the greater integer is assigned.

  • For instance, (-7)+(2) = -5

  • Subtraction is done by adding the additive inverse of the subtracted integer to the other integer.

  • For instance, 56–(–73) = 56+73 = 129.


Conclusion

RS Aggarwal Class 7 Math Chapter 1 is essential for the students to help them know the basics of an important concept that is very useful in higher education. RS Aggarwal Class 7 solutions Chapter 1 are available on Vedantu sites in a structured manner. An exercise - wise solution PDF is available to help the students get the required assistance during their preparations.

FAQs on RS Aggarwal Class 7 Solutions Chapter-1 Integers

1. Problems Based on Which Concept of the Chapter is Involved in each Exercise of RS Aggarwal Class 7 Math Chapter 1?

RS Aggarwal Chapter 1 of Math is divided into four exercises, and the contents of each of them are as follows:

  • Exercise 1A – This exercise has 16 questions related to integers' addition (both positive and negative).

  • Exercise 1B – This exercise contains a total of 9 questions related to multiplication of integers.

  • Exercise 1C – It has only three questions related to the division of integers.

  • Exercise 1D – Exercise 1D, the last exercise of the Chapter, includes 24 questions, based on subtraction of integers.

2. Explain Integers. What are the Essential Topics Related to Integers Involved in RS Aggarwal Class 7 Math Chapter 1 Integers?

Integers refers to a set of numbers, capable of being represented without the presence of fractional components. They are often referred to as the set of whole valued negative and positive integers, including 0. Integers follow various properties, like closure, commutative property, distributive behavior, additive identity, multiplication, etc.


Here is a list of topics involved in Chapter 1 of Class 7 Math, RS Aggarwal textbook:

  • Addition of Integers and its properties.

  • Subtraction of integers and its properties.

  • Multiplication of integers and its properties.

  • Division of integers and its properties.

3. Why is it Recommended to Keep RS Aggarwal Solutions Class 7 Ch 1 Handy?

Students are advised to keep the solutions of RS Aggarwal for Class 7, Chapter 1 handy because:

  • They are available in a detailed manner, thus assuring that the students understand every concept and problem using the solutions.

  • They are preferable for an added practice for the Chapter to get the basics cleared well and be well versed with an essential concept of higher education.

  • Solutions are often useful during the self-studies, whenever the students find themselves stuck at any problem statement.

4. Following the concepts of RS Aggarwal Class 7 Chapter 1, when 90 negative integers and 9 positive integers are multiplied, what is the sign of the product?

Because the number of integers is even, multiplying 90 negative integers produces a positive sign. Any two or more positive numbers multiplied together always provide a positive integer. The product of both positive and negative integers (in the previous two situations) is also positive. As a result, the end output will be positive. Now you know that when 90 negative integers and 9 positive integers are multiplied, the sign of the product comes out as positive.

5. Following the concepts of RS Aggarwal Class 7 Chapter 1, on a Number Line, how do you represent Integers?

To represent integers on a number line, you must know the three integers, positive, negative, and zero. Positive integers are the natural numbers with a positive sign, negative are natural numbers’ opposite with negative sign and zero is neutral. 


We can simplify express the three categories of integers on a number line based on positive integers, negative integers, and zero, as we have already explained.


The center of integers on a number line is zero. Integers that are positive are on the right side of zero, whereas those that are negative are on the left.