Early Counting Systems: Fresh Take

  • Understand early counting systems and their representation of numbers
  • Recognize the chronological order of counting system development
  • Convert Hindu-Arabic and Roman Numerals

Counting Boards

You can view the transcript for “Inca Counting Boards” here (opens in new window).

Suppose you have the following counting board with two different kind of pebbles places as illustrated. Let the solid black pebble represent a dog and the striped pebble represent a cat.

  1. How many dogs are being represented?
  2. How many cats are represented on this board?
Simple depiction of an Incan counting board. There are two black pebbles and one striped pebble in the outer square regions. There are three black pebbles and no striped pebbles in the larger white rectangular compartments. There is one black pebble and six striped pebbles in the middle region. There are three black pebbles and three striped pebbles on the second levels. Finally, there is one black pebble and two striped pebbles on the highest corner levels.

 

The Quipu

You can view the transcript for “Inca Knot Numbers – Numberphile” here (opens in new window).

You can view the transcript for “The Inca Quipu” here (opens in new window).

The Hindu—Arabic Number System and Roman Numerals

You can view the transcript for “Roman Numerals” here (opens in new window).

Write the Hindu-Arabic numeral for [latex]MCMIV[/latex].