# Number Operations and Algebra for General Studies

## Learn about the fundamental structure of numbers and the basics of algebra in this free online course.

Publisher: ADU## Description

Mathematics is an exciting and varied subject that can open up a lot of opportunities for students. The study of mathematics makes you better at solving numerical and analytical problems. It gives you skills that can be applied in many different job roles. This free online Introduction to Number Operations and Algebra will guide you through an introduction to the foundation of math, ranging from sets and Venn diagrams to fractions and algebra. Algebra is a powerful tool for problem-solving in science, engineering, economics, finance, architecture, ship-building, and many other day-to-day tasks. If we didn't use letters in place of numbers (and used words instead), we would be writing many pages for each problem and it would be much more confusing. Improve your math skills and gain a solid foundation that can be applied to almost every job, or just help make school studies easier. Learning how to solve mathematical equations is not the only knowledge you are going to gain. The skills you develop whilst working on mathematical functions will develop your problem-solving abilities in other ways such as Pattern spotting and logical reasoning.

This course then introduces you to the vocabulary and definition of working with sets. Being familiar with the vocabulary helps you in understanding the different concepts covered in this course. Venn diagrams show the relationship between a finite collection of sets. We will consider operations between sets as illustrated with the help of Venn diagram examples. The course analyzes the different types of mathematical operations as well as the order of the operations. Number lines are important because they present numbers in real life. Primarily, because they enable negative numbers to be represented in a way that made sense. You will learn about the number line and graphing which is a visual representation of the set of Real numbers. In Maths, integers are the numbers that can be positive, negative or zero, but cannot be a fraction. These numbers are used to perform various arithmetic operations, like addition, subtraction, multiplication, and division. You will learn about the different arithmetic operations of integers with the aid of examples. You will also learn about the properties of rational numbers

Next, you will learn about algebraic expressions and how to simplify them. An expression containing variables, numbers, and arithmetic operations is called an algebraic expression. Equality between two expressions is called an equation. You will also learn how to write such equations and formulae and give a description of the relationship between the variables. You will be taken through the step-by-step process of solving equations with the aid of examples. In mathematics, an inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size. This course analyzes solving inequalities along with the different operator types in mathematics as well as the problem-solving applications of inequalities. Without conjunctions and disjunctions, we won't be able to logically join statements. The course explicitly demonstrate how to make use of these compounds with the aid of examples. In mathematics, a ratio is defined as a tool used to compare the size of two or more quantities in relation to each other. Ratios allow us to measure and express quantities by making them easier to interpret. You will learn about how to use ratios and proportions in this free online course

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