1. 4.1 Day II: Additive, Multiplicative and Ciphered Systems of Numeration
By the end of class you will be able to convert numbers among Hindu-Arabic, Chinese and Greek

2. Some Chinese Examples:
=63
So What Do You Notice??
=725

3. Chinese Numeration System:
Read from bottom up
Group numbers in 2: top number is multiplied by bottom number which is a power of 10
The bottom number is the units digit (not multiplied by anything
Need to add zeros if they appear consecutively in the middle of the number
11-19 not written as powers of 10

4. Examples of Special Rules:
=9001
=16

5. Conversions 1)
3) 577 2)
4) 703

6. Iconic Greek System
Ciphered System: there are numerals for numbers up to the base, and numerals for multiples of the base (multiples of 10 in this case)
Uses Greek letters of alphabet
Has a multiplicative property: place I as a superscript in front of a number to multiply by 1000

7. Write in Hindu Arabic 1) 2) 3) 4)

8. Write in Greek
1) 285
2) 311
3) 1012

9. Summarizer
1) Create a 4-foldable with labels “Egyptian”, “Roman”, “Chinese” “Greek”
2) Write a different numeral in each box
3) Your partner will convert the numerals to Hindu-Arabic, and write a fact about each numeration system
4) Check your partner’s work