Read and download NCERT Class 7 Maths Integers in NCERT book for Class 7 Mathematics. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 7 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 7 Mathematics to understand the answers of the exercise questions given at the end of this chapter
NCERT Book for Class 7 Mathematics Chapter 1 Integers
Class 7 Mathematics students should refer to the following NCERT Book Chapter 1 Integers in Class 7. This NCERT Book for Class 7 Mathematics will be very useful for exams and help you to score good marks
Chapter 1 Integers NCERT Book Class 7
Integers
1.1 INTRODUCTION
We have learnt about whole numbers and integers in Class VI. We know that integers form a bigger collection of numbers which contains whole numbers and negative numbers. What other differences do you find between whole numbers and integers? In this chapter, we will study more about integers, their properties and operations. First of all, we will review and revise what we have done about integers in our previous class.
1.2 RECALL
We know how to represent integers on a number line. Some integers are marked on the number line given below.
Can you write these marked integers in ascending order? The ascending order of these numbers is – 5, – 1, 3. Why did we choose – 5 as the smallest number?
Some points are marked with integers on the following number line. Write these integers in descending order.
The descending order of these integers is 14, 8, 3, ...
The above number line has only a few integers filled. Write appropriate numbers at each dot.
1.3 PROPERTIES OF ADDITION AND SUBTRACTION OF INTEGERS
1.3.1 Closure under Addition
We have learnt that sum of two whole numbers is again a whole number. For example, 17 + 24 = 41 which is again a whole number. We know that, this property is known as the closure property for addition of the whole numbers
Let us see whether this property is true for integers or not.
Following are some pairs of integers. Observe the following table and complete it.
Statement Observation
(i) 17 + 23 = 40 Result is an integer
(ii) (–10) + 3 = _____ ______________
(iii) (– 75) + 18 = _____ ______________
(iv) 19 + (– 25) = – 6 Result is an integer
(v) 27 + (– 27) = _____ ______________
(vi) (– 20) + 0 = _____ ______________
(vii) (– 35) + (– 10) = _____ ______________
What do you observe? Is the sum of two integers always an integer?
Did you find a pair of integers whose sum is not an integer?
Since addition of integers gives integers, we say integers are closed under addition. In general, for any two integers a and b, a + b is an integer.
1.3.2 Closure under Subtraction
What happens when we subtract an integer from another integer? Can we say that their difference is also an integer? Observe the following table and complete it:
Statement Observation
(i) 7 – 9 = – 2 Result is an integer
(ii) 17 – (– 21) = _______ ______________
(iii) (– 8) – (–14) = 6 Result is an integer
(iv) (– 21) – (– 10) = _______ ______________
(v) 32 – (–17) = _______ ______________
(vi) (– 18) – (– 18) = _______ ______________
(vii) (– 29) – 0 = _______ ______________
What do you observe? Is there any pair of integers whose difference is not an integer?
Can we say integers are closed under subtraction? Yes, we can see that integers are closed under subtraction.
Thus, if a and b are two integers then a – b is also an intger. Do the whole numbers satisfy this property?
Please refer to attached file for NCERT Class 7 Maths Integers
NCERT Class 7 Maths Integers |
NCERT Class 7 Maths Fractions and Decimals |
NCERT Class 7 Maths Data Handling |
NCERT Class 7 Maths Simple Equations |
NCERT Class 7 Maths Lines and Angles |
NCERT Class 7 Maths The Triangle and Its Properties |
NCERT Class 7 Maths Congruence of Triangles |
NCERT Class 7 Maths Comparing Quantities |
NCERT Class 7 Maths Rational Numbers |
NCERT Class 7 Maths Practical Geometry |
NCERT Class 7 Maths Perimeter and Area |
NCERT Class 7 Maths Algebraic Expressions |
NCERT Class 7 Maths Exponents and Powers |
NCERT Class 7 Maths Symmetry |
NCERT Class 7 Maths Visualising Solid Shapes |
NCERT Class 7 Maths Solutions Answers |
Mathematics NCERT Book Class 7 Chapter 1 Integers
The above NCERT Books for Class 7 Mathematics Chapter 1 Integers have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 1 Integers Mathematics Class 7 is being used by various schools and almost all education boards in India. Teachers have always recommended students to refer to Chapter 1 Integers NCERT etextbooks as the exams for Class 7 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 7 Chapter 1 Integers book for Mathematics also includes collection of question. We have also provided NCERT solutions for Class 7 Mathematics which have been developed by teachers of StudiesToday.com after thorough review of the latest book and based on pattern of questions in upcoming exams for Class 7 students.
NCERT Book Class 7 Mathematics Chapter 1 Integers
The latest NCERT book for Chapter 1 Integers pdf have been published by NCERT based on the latest research done for each topic which has to be taught to students in all classes. The books for Class 7 Mathematics Chapter 1 Integers are designed to enhance the overall understanding of students. All Class 7 NCERT textbooks have been written in an easy to understand language which will help to enhance the overall level of Class 7 students.
Chapter 1 Integers NCERT Book Class 7 Mathematics
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Class 7 Mathematics Chapter 1 Integers NCERT Book
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Class 7 Chapter 1 Integers NCERT Book Mathematics
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