Math Learning System 2007

Numbers and Symbols

Our oldest ancestors already knew how to count, such as the number of items, people or animals. They were either able to count objects and visualise numbers or were able to calculate the number of objects in a set. For simple counting, we use basic numbers or cardinal numbers, such as 1, 2, 3, 4 and so on. Serial or ordinal numbers determine order, such as 1st, 2nd or 3rd.

Numbers and symbols are what mathematics is actually made of. There are many numerical and symbol systems in the world.

We most often use the decimal system, which is most common. A number in the decimal system (although generally also in other numerical systems) is, by rule, made up of several numbers or digits, where the value of each digit depends on its position in the number. Digits within the decimal system are the Indian symbols for 1 to 0, which were adopted by al-Choresmi for the Arabian mathematical system.

Numbering Systems

Numbers can look quite differently. Some numbers were in wedge shaped form, and Arabian numbers, which originally came from India, also look different. The Romans and the Chinese also used totally different symbols.

The Roman numbering system is based on the adding system, where there are a certain number of basic numbers and aiding symbols, combined according to some rules to form a number with the aim of using as few amount of symbols as possible. Even so, larger numbers under this system are not easily readable and, with very large numbers, new symbols must be invented.

Under this system, the capital letter of I is used to represent one unit, V to represent five units, X ten and C one hundred.

Therefore, seven would be written as VII (V+I+I). If a smaller unit symbol is to the left of a larger one, then it is subtracted, such that the number 9 is written as IX (X-I).

Thirty is written as XXX and 321 as CCCXXXI (100+100+100+10+10+1).

The present numbering system, where a number's value is described by the number of the digits with their individual positions, has its origin in India. According to this system, the position of a number determines its value. Therefore, for the number 321, the number 1 has a value of 1, the number 2 twenty and the number 3 three hundred.

This system was brought to Europe by the Brit Aderland von Bath in the year 1100.

The present numbering system is based on multiples of ten and use the digits from 1 to 0.

Another numbering system is the binary system. In this system, there are only two value numbers. For example, the number 10101 is read as follows: 1 is one, 0 is two, 1 is four, 0 is eight and 1 sixteen. When we add all these together, we get the number 21 (according to our decimal numbering system).

The symbols 0 and 1 are used to represent the numbers 0 to 9 as well. Under the binary system, the number 9 is represented as 1001. The binary numbering system is read from right to left, starting with the exponent 0. Each digit to the left has one higher exponent number, where the binary symbol representing each digit is multiplied by the number 2, which has a power of the exponent associated with that digit.

The binary numbering system is used mostly in semi-conductor electronics when describing on-off chain states.

Other numbering system use the numbers 5 or 16 as their base.

Below are shown several numbering systems:

Decimal

Symbols: 0,1,2,3,4,5,6,7,8,9

Base:10

Binary

Symbols:0.1

Base: 2

Octal

Symbols: 0,1,2,3,4,5,6,7

Base: 8

Hexadecimal

Symbols: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F

Base: 16

Threescore

Symbols: 0...59

Base: 60

The most varied of ways to describe values have been invented, such as the symbols used by the Romans or the Arabs (Indian).

Numbers can then be classified differently, such as "natural numbers", "rational numbers" or "whole numbers". Each category has its own characteristic which is revealed through its mathematical use.

Math Learning System 2007

Math Learning System contains hours of tutorials and interactive lessons with in-depth coverage of 17 core and advanced subjects. It includes hundreds of interactive exercises, printable tests to monitor progress, multimedia and video instruction and lessons, audio books, Rapid Calculation Method e-book - now compatible with your iPod for learning on the go! Real life applications, including interest rate, mortgage, margin, point, fast calculation skills and tricks are also included. Subject details: Early Number Sense, Beginning Math, Multiplication & Division, Fractions, Pre-algebra, Algebra, Geometry, Algebra II, Trigonometry, Calculus, Real Life Applications, Statistics, Probability, Computer Skills, JAVA Programming, Rapid Calculation Method eBook.

Math Learning System 2007 builds critical math skills for students K through 12. It includes real-life math applications, as well as materials for learning on the go with your iPod.

Features:

• In-depth coverage of core subjects taught in schools
• Supports educational standards
• Multimedia presentations and instruction
• Materials work on your iPod for learning on the go
• Real-life application of math includes interest rate, mortgage, margin, point, fast calculation skills, and tricks
• Printable Q&A's for all levels
• Various levels of difficulty for all learning styles and abilities
• Rapid Calculation Method ebook
• Plus "Early Math with Mom and Dad" for toddlers to second grade

Math Learning System 2007 Image

Math Learning System 2007 Photo

Math Learning System 2007 Picture

Math Learning System 2007 Photo

Most helpful customer reviews

15 of 16 people found the following review helpful.
Wretched software
By P645N
I purchased this software to brush up on my algebra skills before taking a calculus class. Titles were limited since I use a Mac, so this was just about my only choice. What a complete waste of money. The interface is terrible and the level of instruction isn't much better. The "tutor" for the more advanced levels has such heavy accent that I relied on the captions for instruction. I found several math errors in the program - not good! The sound doesn't work for some sections, and no, it wasn't my computer. I couldn't be more disappointed. I purchased several books from the McGraw Hill Demystified series, which while not as "high-tech", are vastly superior. I would guess that any of the written Algebra study guides would be better than this software, and be much cheaper!

6 of 6 people found the following review helpful.
So-So
By Indiana
I don't know if I'd go as far as the reviewer below but I have to agree that it's not the best. I got it to help my 15 year old son in Algebra. It isn't interactive. But... he is sitting at the PC using it now. I said, "Hey! Is that software any good." He said, "Yeah." For a 15 year old boy, that a relatively good review. He has also used the software "High School Success 2007 (which includes Math Success 2007) and he REALLY doesn't like it. Also... he and his sister have "Algebra Solved" and it has proven to be of no use to them because they can't figure out how to work it. So far, MATH LEARNING SYSTEM 2007 is about as good as I've found. But oh, would I like to find something better.

2 of 3 people found the following review helpful.
Waste of time and money
By John M. Wells
Absolutely worthless. Save your time and money and buy something else. There are plenty of good math books out there......

See all 3 customer reviews...