Math Section 1 - Arithmetic

In this set of Math Tutorials we cover Arithmetic in detail with clear guides, Arithmetic formulas and working examples. Each tutorial includes example questions, a revision guide and supporting Arithmetic calculators

We also provide online Arithmetic Calculators which allow you to calculate specific Arithmetic formula in support of the tutorials or to check and verify your own calculations in support of your Arithmetic homework, math coursework or to help you improve your own understanding so it is easier to teach your children Arithmetic.

Arithmetic Learning Material and Arithmetic Study Aide
Tutorial IDTitleTutorialVideo
1.1Numbering Systems, a Historical View
1.2Number Sets, Positive and Negative Numbers and Number Lines
1.3Operations with Numbers and Properties of Operations
1.4Order of Operations and PEMDAS Rule
1.5Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF
1.6Divisibility Rules
1.7Decimal Number System and Other Numbering Systems
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Arithmetic Tutorials Snapshot

This chapter, as the starting chapter of this math course, deals with the basics of arithmetic. It begins with a historical overview of the number systems used in different civilizations, then it continues with a walk through some of the methods used to classify numbers to make them easier to handle, then it reviews number sets we use in math, from the simplest (natural numbers) to the most inclusive (real numbers).

In this chapter we introduce the number axis which helps us understand the meaning of positive and negative numbers including operations with numbers in the number axis. Properties of operations are an important part of this chapter, without which, mathematics would be impossible, and the rest of this course would be meaningless.

The order of operations is a key factor to find a correct value of an arithmetic expression. Therefore, the guide involving the order of operation is of an extreme importance in the following of this course.

Understanding multiples and factors are another important part of this chapter, understanding them allows us to write a number in disassembled form. Moreover, the method used to calculate the least common multiple and greatest common factor of two or more numbers is explained in detail. Then we continue with divisibility rules from 1-20.

Towards the end of chapter, we will discuss the decimal number system in more detail and how to complete operations with decimals.

Arithmetic Calculators

The following Math Calculators are provided in support of the Arithmetic tutorials.