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NCERT Solutions for Class 7 Maths Chapter 1 Exercise 1.1 - Integers

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Last updated date: 22nd Jul 2024
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NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.1 - FREE PDF Download

NCERT Class 7 Maths Exercise 1.1 Solutions provided by Vedantu are designed to help students understand and practice the concepts of integers simply and effectively. This exercise focuses on fundamental operations with integers, such as addition and subtraction. Vedantu's solutions break down each problem step-by-step, making it easier for students to follow along and grasp the methods used.

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Table of Content
1. NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.1 - FREE PDF Download
2. Glance on NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.1 | Vedantu
3. Access NCERT Solutions for Class 7 Maths Chapter 1 - Integers Exercise 1.1
4. Class 7 Maths Chapter 1: Exercises Breakdown
5. CBSE Class 7 Maths Chapter 1 Other Study Materials
6. Chapter-Specific NCERT Solutions for Class 7 Maths
FAQs


Class 7 Maths Chapter 1 Exercise 1.1 Solutions pdf is aligned with the NCERT textbook, to make sure that students get accurate and reliable guidance. By using these solutions, students can reinforce their understanding, clear up any doubts, and build a strong foundation in working with integers. To boost your exam preparations, you can download the FREE PDF for NCERT Solutions for Class 7 Maths from Vedantu’s website. 


Glance on NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.1 | Vedantu

  • Class 7 Maths Chapter 1.1 introduces the multiplication of Integers.

  • Multiplying a positive integer with a negative integer results in a negative integer.

  • Multiplying a negative integer with a negative integer results in a positive integer.

  • Multiplying a positive integer with a positive integer results in a positive integer.

  • Properties of Multiplication of Integers

  • Commutative Property is $a \times b = b \times a$ for any integers a,b

  • Identity Property is $ 1 \times a = a \times 1 = a$ for any integer a.

  • Associative Property is $ \left ( a \times b \right )\times c = a \times \left ( b \times c \right )$

  • Distributive Property is $a \times \left ( b+c \right ) = a \times b + a \times c$ 

  • Class 7 Exercise 1.1 contains 4 fully solved questions that helps to learn about Integers.

Access NCERT Solutions for Class 7 Maths Chapter 1 - Integers Exercise 1.1

1.  Write down a pair of integers whose:

(a) Sum is \[-\mathbf{7}\]

Ans: One such pair whose sum is\[-7\]:                     \[~-5+(-2)=\text{ }-7\]


(b) Difference is \[-\mathbf{10}\]

Ans: One such pair whose difference is\[-10\]:       \[~-2-8=\text{ }-10\]


(c) Sum is \[\mathbf{0}\]

 Ans. One such pair whose sum is\[0\]:                        \[~-5+5=0\]


2. (a) Write a pair of negative integers whose difference gives \[\mathbf{8}\].

Ans:  \[-2-(-10)-2+10=8\]


(b)Write a negative integer and a positive integer whose sum is -\[5\].

Ans: \[(-7)+2=\text{ }-5\]


(c)Write a negative integer and a positive integer whose difference is -\[\mathbf{3}\].

Ans:  \[(-2)-1=\text{ }-2-1=\text{ }-3\]


3. In a quiz, team A scored\[~-\mathbf{40},\mathbf{10},\mathbf{0}\] and team B scores \[\mathbf{10},\text{ }\mathbf{0},-\mathbf{40}\] in three successive rounds. Which team scored more? Can we say that we can add integers in any order?

Ans. Total score of Team A = \[-40+10+0\]=\[-30\]

Team B scored \[10,0,-40\]

Total score of Team B = \[10+0+(-40)\]=\[10+0-40\]=\[-30\]

Thus, the scores of both the teams are the same.

Yes, we can add integers in any order due to commutative property.


4. Fill in the blanks to make the following statements true:

(i) \[(-\mathbf{5})+(-\mathbf{8})=(-\mathbf{8})+(.......)\]

Ans:  By applying commutative property 

\[~(-5)+(-8)=(-8)+(-5)\]          


(ii) \[-\mathbf{53}+.......=\text{ }-\mathbf{53}\]

Ans: By applying zero additive property 

\[~-53+0=\text{ }-53\] 


(iii) \[\mathbf{17}\text{ }+\text{ }\ldots \ldots .\text{ }=\text{ }\mathbf{0}\]

Ans: By applying additive inverse property                                        

\[17+(-17)=0\]      


(iv) \[\left[ 13+\left( -12 \right) \right]+\left( ....... \right)=13+\left[ \left( -12 \right)+\left( -7 \right) \right]\]          

Ans:   Applying associative property                                                                                                 

\[\left[ 13+\left( 12 \right) \right]+\left( -7 \right)=13+\left[ \left( -12 \right)+\left( -7 \right) \right]\]              


(v) \[\left( -4 \right)+\left[ 15+\left( -3 \right) \right]=\left[ -4+15 \right]+.........\] 

Ans: Applying Associative property 

\[\left( -4 \right)+\left[ 15+\left( -3 \right) \right]=\left[ -4+15 \right]+\left( -3 \right)\] 


Conclusion

NCERT Solutions for Class 7 Maths Ex 1.1 Integers provided by Vedantu are a valuable resource for students. These solutions cover every exercise from the NCERT textbook, helping students understand and master the concepts of integers. Important points to focus on include understanding the properties of integers, operations like addition, subtraction, multiplication, and division with integers, and solving problems involving these operations. By thoroughly studying the solutions provided by Vedantu, students can enhance their grasp of integers, improve their performance in exams, and confidently tackle a variety of problems.


Class 7 Maths Chapter 1: Exercises Breakdown

Exercise

Number of Questions

Exercise 1.2

4 Questions and Solutions

Exercise 1.3

7 Questions and Solutions


CBSE Class 7 Maths Chapter 1 Other Study Materials


Chapter-Specific NCERT Solutions for Class 7 Maths

Given below are the chapter-wise NCERT Solutions for Class 7 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.


FAQs on NCERT Solutions for Class 7 Maths Chapter 1 Exercise 1.1 - Integers

1. How do you represent integers on a number line?

Positive integers are placed to the right of zero on a number line, and negative integers are placed to the left of zero. The farther a number is from zero, the larger its absolute value (ignoring the negative sign).

2. What are the rules for adding and subtracting integers?

  • Adding integers: If both numbers have the same sign, add their absolute values and keep the sign. If they have different signs, subtract their absolute values and keep the sign of the number with the larger absolute value.

  • Subtracting integers: To subtract an integer, add its opposite. This means change the sign of the number being subtracted and then add as usual.

3. How do you multiply and divide integers?

  • Multiplying integers: Multiply the numbers as usual and then determine the sign:

    • If both integers have the same sign (both positive or both negative), the product is positive.

    • If the integers have different signs, the product is negative.

  • Dividing integers: Divide the numbers as usual and then determine the sign:

    • If both integers have the same sign (both positive or both negative), the quotient is positive.

    • If the integers have different signs, the quotient is negative.

4. What is Class 7 Integers Exercise 1.1 is about?

Exercise 1.1 in the Integers chapter typically introduces students to basic concepts such as understanding integers, their representation on a number line, and comparing integers.

5. What are opposites or additive inverses of integers?

The opposite (or additive inverse) of an integer is another integer that, when added to the original integer, gives zero. For example, the opposite of 5 is -5, and vice versa.