In mathematics, integers are numbers that can either be positive, negative or even zero but can never be a fraction. Integers play a fundamental role in significant arithmetic operations such as addition, subtraction, multiplication, and division. So, the examples of integers are; -5, -2, 0, 3, 9, whereas numbers like 5/4, -3/9, 29/2 are not integers because they are fractions. Even decimals and percentages cannot be denoted as integers. The symbol of integers is Z. The RD Sharma Solutions for Class 7 Maths Chapter 1 integers deal with various essential concepts of integers to explain the topics to the students. Those topics include four fundamental concepts. They are addition, subtraction, multiplication, and division of integers.
In all these concepts, students study the basics and perform some exercise tasks so that they come to know whether they have understood the topics and concepts. The following are some of the examples,
(-4) + (3) = -1
(7) + (4) – (-1) = 12
(-3) * (7) = -21
(-10) / (-2) = 5
Apart from this, Class 7 Maths Chapter 1 Integers also includes the properties of all these four concepts. For example, the commutative and associative properties of multiplication and division of integers are two properties where students can learn how to multiply and divide integers and the rules to be followed while multiplying and dividing to avoid errors. Some other multiplication properties are Closure property, multiplication by zero, Multiplicative identity, Distributive property. On the other hand, division is the inverse operation of multiplication. Some of the division properties are the Closure under division, the identity property and the distributive property of division.