Real Numbers and Monomials for General Studies

This course is the second in a series of algebra topics in mathematics. It explains more about mathematical concepts of real numbers and monomials and begins by introducing you to rational numbers. We explain the standard definition of a rational number, the properties of rational numbers and types. You will study the two types of rational numbers and their differences with the aid of examples. ‘Interval notation’ is a way to describe continuous sets of real numbers by the numbers that bound them. Sometimes it is more convenient to write sets of numbers using interval notations rather than using inequality statements. This course gives you a summary of the possible inequality and interval notations. Learners find square roots confusing, especially when dealing with more than one variable. This course will help you gain more confidence and teach you about the most commonly used roots and cube roots.

Then the course introduces you to the various operations with radicals. These operations will be valid for square roots, cube roots, fourth roots, etc. Simplifying radicals is one of the easiest yet confusing aspects of algebra. Using examples, we will gradually take you through this process. An algebraic expression containing only one term is called a ‘monomial’. Discover the various definitions, vocabularies and words associated with monomials to help you better understand each concept. Not all algebraic expressions are monomials. By the end of this course, you should be able to differentiate between monomial expressions and non-monomial expressions. You can add and subtract monomials by using the distributive property and then adding or subtracting their coefficients. What is the distributive property? This course outlines the various properties and definitions of each operator and how they work.

Furthermore, this course will teach you how to analyse non-positive exponents in algebra. For example, the exponents of a monomial can be negative integers or zero or positive integers. Investigate the different properties of non-positive exponents with the aid of examples. Rational exponents (also called ‘fractional exponents’) are expressions with exponents that are rational numbers (as opposed to integers). While all the standard rules of exponents apply, it is helpful to think about rational exponents carefully. How do you express numbers too large or small to be conveniently written? Scientific notation is instrumental in dealing with extremely large or small numbers. It allows a person to write or compute these disproportionate numbers more efficiently, which you will learn about in this course. Solving equations with rational exponents can be challenging when you don't follow the rules and regulations associated with notations. The learning content in this course is crucial to master these techniques and will be of great interest to students, researchers and analysts. So register for this course and start learning today.