In RD Sharma Class 7 Maths Chapter 4 rational numbers, students will expand their knowledge even further, learning the basics of rational numbers and their mathematical operations. Rational numbers are defined as a set of special numbers. They can be written in a fraction form, the ratio of c and d is defined as c:d or c/d where they are both integers and d is not equal to 0.
Firstly, the need for rational numbers should be understood. Rational numbers are important because various quantity measures that integers and natural numbers alone cannot entirely describe. In such cases, rational numbers are used to represent them. It is even possible to denote rational numbers using different numerators and denominators. For example, after ensuring the integer is not zero, one can get the equivalent numbers by multiplying the numerator and denominator of the rational number with the same integer. For example, if c/d is a rational number its equivalent can be (c/d) * (5/5) or (c/d) * (10/10) etc.
Another main concept is the positive and negative rational numbers. If both numerator and denominator of the rational number have the same sign (either + or –), this is called a positive rational number. All the positive numbers are greater than zero and can be (c/d) or (-c/-d). Meanwhile, the negative rational numbers have either the numerator or the denominator with an opposite sign. These rational numbers are always less than zero. It can be in the form of (-c/d) or (c/-d).
Apart from all this, students study rational numbers on a number line where the numbers are represented in the form of a line where they get to see positive, zero, and negative rational numbers placed differently in their desired position. Similarly, in Class 7 Maths Chapter 4, rational numbers, the concept of rational numbers and their standard form is explained in a detailed manner. Finally, they learn the comparison of rational numbers in detail along with their various operations.