Number

Linda Bollman, Aug 12, 2014

Table of Contents

  1. Number Sets
    1. The Number System
    2. Egyptian System of Numeration
  2. Irrational Numbers
  3. Pythagorean Theorem
    1. Pythagorean Theorem Proof without Words
    2. Satz von Pythagoras - Beweis 1
    3. Pythagoras: Scherung
    4. Pythagorean Tiling
  4. Factors
    1. Factorization - Visual illustration of divisor pairs
    2. sieve of eratosthenes

1.

Number Sets

  • 1. The Number System
  • 2. Egyptian System of Numeration

1.1.

The Number System

Recall that:[br][list][br][*] [math]\mathbb{C}[/math] is the set of complex numbers[br][*] [math]\mathbb{N}[/math] is the set of natural numbers[br][*] [math]\mathbb{Q}[/math] is the set of rational numbers[br][*] [math]\mathbb{R}[/math] is the set of real numbers[br][*] [math]\mathbb{W}[/math] is the set of whole numbers[br][*] [math]\mathbb{Z}[/math] is the set of integers[br][/list][br][br]For step 1, move and resize the circles to form a correct [url=http://en.wikipedia.org/wiki/Euler_diagram]Euler Diagram[/url] showing subset relationships of these sets of numbers.[br][br]After you have correctly completed step 1, step 2 will appear. Move the numbers into the correct place in your diagram of the number system.
– Kate MacInnis

1.2.

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2.

Irrational Numbers


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3.

Pythagorean Theorem

  • 1. Pythagorean Theorem Proof without Words
  • 2. Satz von Pythagoras - Beweis 1
  • 3. Pythagoras: Scherung
  • 4. Pythagorean Tiling

3.1.

Pythagorean Theorem Proof without Words

Move the endpoints of the segments and the X to change the shape. The slider translates the pieces into a new combination. What do you notice?
– Jed Butler

3.2.

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3.3.

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3.4.

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4.

Factors

  • 1. Factorization - Visual illustration of divisor pairs
  • 2. sieve of eratosthenes

4.1.

Factorization - Visual illustration of divisor pairs

[list=1][br][*]Enter different integers (whole numbers).[br][*]See what prime numbers compose your integer.[br][*]Press the prime factors buttons and see how your number can be produced by multiplying different pairs of numbers.[br][*]How many different pairs that produce your number are there?[br][/list]
– Ethan Hall

4.2.

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