Liberal Arts Mathematics I

Liberal Arts Mathematics I

Numeration and Mathematical Systems

Section 4.1

Numeration Systems, Grouping

http://youtu.be/2xAmFPW7mtA

Addition and Subtraction in the Egyptian System

http://youtu.be/62vecYoDR3k

Multiplication using the Egyptian System

http://youtu.be/kBvNBtTIl0M

The Chinese System

http://youtu.be/E5Co4YzlUd0

The Hindu-Arabic System

http://youtu.be/9USOFAWU6Ks

Section 4.2

Arithmetic using the Expanded (power-of-10) Notation

http://youtu.be/VB5Ibo7lR-I

Lattice Method of Multiplication

http://youtu.be/wuWA6sOEQCk

Section 4.3

Representation of Numbers in Different Bases

http://youtu.be/yu7pjtRtAxw

Calculator Shortcut for Changing to Base 10

http://youtu.be/YFpHOxsascc

Changing a Decimal Number to a Given Base

http://youtu.be/huH8gsXHwP4

Binary and Hexadecimal Representations

http://youtu.be/pxOuyoJiplQ

Section 4.4

The 5-Hour Clock

http://youtu.be/7JJmFDWd2jQ

The 6-Hour Clock

http://youtu.be/fQLNo9uy7kI

The 7-Hour Clock, Identity, Commutative, Inverse Properties of Operations

http://youtu.be/e19cvj_QJlE

Section 4.5

Properties of "Clock" Operations

http://youtu.be/q_5LrWa8Fw8

Properties of Abstract Operations

http://youtu.be/r9XUlPkKoKY

Distributive Property

http://youtu.be/3Xg_O6nTl4c

Rotations of a Square

http://youtu.be/PHnppe_eFUA

Permutation Group part I

http://youtu.be/ezBHY9PRDdk

Miscellaneous

Misc. Problems I

http://youtu.be/Ko4dXPI8ous

Misc. Problems II

Multiplication in the Egyptian System

http://youtu.be/GF9WxTGJXic

Solving an Equation; Powers of 10; Place Value Systems

http://youtu.be/omuaHEbodIA

Estimating Powers of 10; Different Bases

http://youtu.be/oTXPAX44SzE

Changing Bases

http://youtu.be/wwffHGLOsH0

Binary Number System

http://youtu.be/odGayDNteGA

Arithmetic in the Binary System

http://youtu.be/QskUYZ0atUc

More About Converting Bases

http://youtu.be/1kJ3UHA72V8

More Conversion of Bases; Uses of Prime Factorization

http://youtu.be/RhTGOavwq3U

Greatest Common Divisor

http://youtu.be/XK5m8X1XK88