Answer sheets of meritorious students of class 12th’ 2012 M.P Board – All Subjects

February 14, 201339 Insightful Publications

**NCERT Solutions for Class 7 Maths Chapter 1:** Mathematics is an important subject for CBSE Class 7 students. In Chapter 1, students study integers, solve important exercises, and learn crucial concepts related to them. CBSE Class 7 students follow the NCERT Class 7 Maths Book for their annual exams. To help students understand the basic concepts and solve every problem effectively, the experts at Embibe have created the NCERT Class 7 Maths Solutions.

CBSE Class 7 Maths Chapter 1 talks about the Properties of Addition and Subtraction of Integers, Multiplication of Integers, Division of Integers and many more. Embibe offers a set of 470+ practice questions for all the sub-topics present in the chapter. Students must practice all the in-text questions given by Embibe to achieve good grades in Maths. Continue reading to access NCERT solutions for Class 7 Maths Chapter 1 Integers.

Integers is one of the most important chapters of Class 7 Maths as it teaches the basics that are required for the students to perform well in the upcoming grades. Students will learn the concepts easily as they follow the conceptual videos of Embib. Once students start following the solutions, they can easily go ahead and solve any kind of question asked in the exam.

Embibe provides solutions for all the questions of the Integers chapter for free. All the questions and solutions are based on the latest syllabus. Also, students can access NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for free.

We have mentioned the list of topics present in Class 7 Maths Chapter 1 below:

Some important points to remember from NCERT Class 7 Maths Chapter 1 are mentioned below to ace your exams:

- On an integer number line, all numbers to the right of 0 are positive integers, and all numbers to the left of 0 are negative integers.
- 0 is less than every positive integer and greater than every negative integer.
- Every positive integer is greater than every negative integer.
- Two integers that are at the same distance from 0, but on opposite sides of it are called opposite numbers.
- The greater the number, the lesser is its opposite.
- The sum of an integer and its opposite is zero.
- The sum of two integers of the same sign is an integer of the same sign whose absolute value is equal to the sum of the absolute values of the given integers.
- The sum of two integers of opposite signs is an integer whose absolute value is the difference between the absolute values of the addend and whose sign is the sign of the addend having a greater absolute value.
- To find the product of two integers, we multiply their absolute values and give the result a plus sign if both the numbers have the same sign or a minus sign otherwise.
- When an expression has different types of operations, some operations have to be performed before others. That is, each operation has its own precedence. The order in which operations are performed is division, multiplication, addition and finally subtraction (DMAS).

Students can find the detailed NCERT Class 7 Maths solutions as provided below for your reference.

- Chapter 2: Fractions and Decimals
- Chapter 3: Data Handling
- Chapter 4: Simple Equations
- Chapter 5: Lines and Angles
- Chapter 6: The Triangle and its Properties
- Chapter 7: Congruence of Triangles
- Chapter 8: Comparing Quantities
- Chapter 9: Rational Numbers
- Chapter 10: Practical Geometry
- Chapter 11: Perimeter and Area
- Chapter 12: Algebraic Expressions
- Chapter 13: Exponents and Powers
- Chapter 14: Symmetry
- Chapter 15: Visualising Solid Shapes

**Ans:** In this Chapter, students will learn about Integers, a bigger collection of numbers that is formed by whole numbers and their negatives. The product of an even number of negative integers is positive, whereas the product of the odd number of negative integers is negative.

**Ans:** There are a total of 7 exercises in the CBSE Class 7 Maths Integers Chapter.

**Ans:** Integers show some properties under multiplication.

(a) Integers are closed under multiplication. That is, a × b is an integer for any two integers a and b.

(b) Multiplication is commutative for integers. That is, a × b = b × a for any integers a and b.

(c) The integer 1 is the identity under multiplication, i.e., 1 × a = a × 1 = a for any integer a.

(d) Multiplication is associative for integers, i.e., (a × b) × c = a × (b × c) for any three integers a, b and c.

**Ans:** Yes, there are problem sums; hence, it is advisable to go through the solution set by Embibe.

**Ans:** It takes about a week to complete this chapter, but we suggest that you revise it from time to time to improve your performance substantially.

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