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Structure of Real Numbers Systems
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Roman- 1
I
Roman- 5
V
Roman- 4
IV
Roman- 10
X
Roman- 50
L
Roman- 100
C
Roman- 500
D
Roman- 1000
M
What was one rule specifically used in Roman number systems?
Subtraction Principle
What is the Subtractive Principle?
if the symbol of a lesser number is placed BEFORE (on the left) of a greater number, then the lesser number is supposed to be subtracted from the greater.
When did the Romans use the Subtractive Principle?
Every 4th of a kind (i.e. 4, 9, 14, 19, …)
What is 1959 in Roman Numerals?
MCMLIX
What is MMDCCXCIV?
3,794
Which way do you read Roman Numerals?
left to right
What symbols does the Babylonian system use?
triangles, less-than signs, and Christmas trees
What is this?
1
What is this?
10
What is this?
Placeholder
What type of system is the Babylonian System?
Sexagesimal System
What is the sexagesimal system?
a base 60 system
What is this?
3
What is this?
161
How do you read Babylonian?
right to left
How do you know that you have a new place value being used?
It starts with a triangle or a large space
What is this?
212
What is Indo (Hindu) -Arabic?
Our US number system
What is this?
3623
Is a big gap a place holder or 0?
It is neither! It shows that there is a new place value being used
What is this?
73,860
How many different systems are used in Mayan?
2
What is the old Mayan System?
What does this mean?
0
What does this mean?
1
What does this mean?
5
What is the new system of Mayan?
7200
360
20
1
How do you read Mayan?
From the bottom up
What is this?
14
What is this?
105,845
How do you know when you are in a new place value in the Mayan system?
when you have a (.) under a _____ or a 0
What do you need to think about when reading Mayan?
a Birthday cake!
What is ______ on a birthday cake?
the layers
What is (.) on a birthday cake?
the candles
What is this?
19
What is this?
100,924
What are numerals?
digits; symbols for writing numbers
What are algorithms?
methods of calculation
What are numeration system?
numerals together with algorithms
What is this?
The Egyptian Number System
What is this?
1/staff
What is this?
10/yoke
What is this?
100/scroll
What is this?
1,000/lotus flower
What is this?
336
What is this?
2,137