Real Numbers

Through this topic, we will learn about the concept of real numbers. The various types of real numbers like natural numbers, whole numbers, and integers are discussed here. Some sentences are given, which are covered in the mathematical form.

Via this topic, we will learn about the division algorithm. The theorem and proof of division algorithm is also included here. With the aid of examples, several questions are also solved based on the algorithm.

This topic introduces the fundamental theorem of arithmetic. The theorem is used in several examples to find the HCF and LCM of the numbers. Also, the question bank is given here for the practice.

This topic explains when the decimal expansion of rational number is terminating and when it is non-terminating or repeating or recurring by using several examples. It also includes a few theorems to prove the same.

Within this topic, we will learn about rational numbers and their decimals. It covers the non-terminating and recurring decimals in the rational numbers with the help of definitions and examples. Exercise is given here for the practice.

This topic explains the properties of irrational numbers. It also provides the steps to prove that a number is irrational using the Fundamental Theorem of Arithmetic.

With the help of this topic, we will learn about exponents. The graph of an exponential function is explained here. We will also understand the various laws of exponents with the help of various solved and unsolved questions.

In this topic, we will come across logarithm and its several properties. The product rule, quotient rule, and the power rule are explained along with the theorem for the same. In addition, some examples based on the rules are also discussed here.