# Math Tutorial 1.7 - Decimal Number System and Other Numbering Systems

There are 5 lessons in this math tutorial covering Decimal Number System and Other Numbering Systems. The tutorial starts with an introduction to Decimal Number System and Other Numbering Systems and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Decimal Number System and Other Numbering Systems. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

• What is the decimal number system? Why it is called "decimal"?
• How are the numbers written in the decimal system?
• What is the decomposed form of a number in the decimal system?
• What are the place values and classes of a number?
• What is the binary system of numbers? What are the commonalities/differences with the decimal system?
• What is the hexadecimal system of numbers? What are the commonalities/differences with the hexadecimal system of numbers.
• What other symbols we use in the hexadecimal system to represent digits?
• How do we use the basic operations in various number systems?

## Introduction

How many digits do we use to write numbers? Why?

What happens when a number exceeds the number of available digits?

What does "decimal"? mean

What if you are forced to use less/more digits that are actually used in practice to express various quantities? Would you able to handle this situation?

So far, in the previous math tutorials, we have dealt with integers and operations with them. Any reference made to other sets of numbers was only for the purpose to reject a claim related to integers. In this guide, we will explain how numbers are organized to describe all events occurring in nature. In addition, we will discuss some number systems which are used in practice and science.

Please select a specific "Decimal Number System and Other Numbering Systems" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Arithmetic Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
1.7Decimal Number System and Other Numbering Systems
Lesson IDMath Lesson TitleLessonVideo
Lesson
1.7.1The Meaning of Decimal Number System. Writing a Number in Terms of Powers of Ten
1.7.2Place Values and Classes
1.7.3Other Number Systems - The Base 2 Number System
1.7.4Operations with Binary Numbers
1.7.5The Base 16 Number System

## Whats next?

Enjoy the "Decimal Number System and Other Numbering Systems" math tutorial? People who liked the "Decimal Number System and Other Numbering Systems" tutorial found the following resources useful:

1. Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
2. Arithmetic Video tutorial: Decimal Number System and Other Numbering Systems. Watch or listen to the Decimal Number System and Other Numbering Systems video tutorial, a useful way to help you revise when travelling to and from school/college
3. Arithmetic Revision Notes: Decimal Number System and Other Numbering Systems. Print the notes so you can revise the key points covered in the math tutorial for Decimal Number System and Other Numbering Systems
4. Arithmetic Practice Questions: Decimal Number System and Other Numbering Systems. Test and improve your knowledge of Decimal Number System and Other Numbering Systems with example questins and answers
5. Check your calculations for Arithmetic questions with our excellent Arithmetic calculators which contain full equations and calculations clearly displayed line by line. See the Arithmetic Calculators by iCalculator™ below.
6. Continuing learning arithmetic - read our next math tutorial: Rounding and Significant Figures