### Tuesday, August 30, 2011

#### Introducing prime integers

Introducing prime integers The prime integers are special with respect to multiplication. 2 is a prime integer. 3 is a prime integer. 4 is not a prime integer. Why is 4 not a prime integer? It is because 4 is 2 * 2. 5 is a prime integer. 6 is not a prime integer. 6 = 2 * 3. 4 and 6 are called...

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### Monday, August 29, 2011

#### Division by Zero.

Division by Zero. In some computers, provision is made for dealing with division by zero errors. Special number codes represents 1/0 and 0/0. They follow the rules that 1/0 + 1/0 = 1/0 1/0 + N = 1/0, where N is any valid number. 1/0 * 1/0 = 1/0 1/0 * N = 1/0 0/0 + 1/0 = 0/0 0/0 + N = 0/0, where N is...

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### Saturday, August 27, 2011

#### Meaning of Equality

Meaning of Equality What does it mean for two different number expressions to be equal? It means that the two different number expressions are each reducible to the same number. What does it mean that 2 + 5 = 3 + 4? 2 + 5 reduces to 2 + (4 + 1) = (2 + 4) + 1 = 6 + 1 = 7 3 + 4 reduces to 3 + (3 + 1)...

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### Friday, August 26, 2011

#### Remainder Arithmetic

Division of one integer by another gives both a quotient and a remainder. Divide 7 into 22. The quotient is 3 and the remainder is 1. This means that 3 * 7 + 1 = 22. Define remainder(22,7) to be the remainder when 22 is divided by 7. Extending this definition to all integers, we get remainder(7,2)=...

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### Thursday, August 25, 2011

#### Algebraically derived numbers

Algebraically derived numbers Ye have heard prophets of old say unto you, "It's very important to distinguish between numbers and names of numbers," but I say unto you, "Names of numbers are also numbers!" This means that in algebra class when we write (A + B) * (A + B) = (A + B) * A + (A + B) * B =...

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### Wednesday, August 24, 2011

#### Extending the number system

Extending the number system The number 1 is the foundation number of all arithmetic. In arithmetic and algebra, 1 is important as the unit of counting. In geometry, 1 is important as the unit distance. "1" is the distance between two arbitrarily chosen points on a line. These two point are labeled...

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### Tuesday, August 23, 2011

#### More on the Irrational Plane

On 7/2/2011 8:30 AM, Dan O'Donovan wrote: > That was very well explained, Kermit. Thank you.:) Thanks > e is a very special number. Some describe it as their favorite number, > which I can see, but not allude to. > I don't think it is fair to show favouritism.;-):) Yes. e is a very special number...

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#### Introduction to the Irrational Plane

Complex plane and irrational numbers.:):) Where to begin? Begin in the middle, and work backwards and forwards. What are complex numbers? Complex numbers are the sum of real numbers and imaginary numbers. What are imaginary numbers? What are real numbers? Examples of real numbers are 0, 1, 2, 3,......

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