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A Brief History of Mathematics Department ura ittaya arn School Addition Mathematics (Ma2120…) Mathayam 1 (IEP)

01 history of numbers and numerals

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Page 1: 01 history of numbers and numerals

A Brief History of

Mathematics Departmentura ittaya arn School

Addition Mathematics (Ma2120…) Mathayam 1 (IEP)

Page 2: 01 history of numbers and numerals

Milestone

-50000 -8000 -3400 -876 -230 -100

Paleolithic

peoples in central

Europe and

France record

numbers on

bones.

The first

symbols for

numbers are

used in Egypt.

Eratosthenes

develops his

sieve method for

finding all prime

numbers.

Page 3: 01 history of numbers and numerals

How many squares below?

Number and Numeral

We use word ‘four’ and use notation ‘4’ to represent them.

In Thai, we use word ‘สอง’ and use notation ‘๔’ to represent them.

Page 4: 01 history of numbers and numerals

Difference?

What is the difference between

‘number’ and ‘numeral’?

Page 5: 01 history of numbers and numerals

Nowadays

1 2539245

2,586

48,959

Hundu-Arabic numeralWhat do we call?

Page 6: 01 history of numbers and numerals

Various symbol sets

0 1 2 3 4 5 6 7 8 9 Latin script

० १ २ ३ ४ ५ ६ ७ ८ ९ Devanagari

٠ ١ ٢ ٣ ٤ ٥ ٦ ٧ ٨ ٩ Arabic

០ ១ ២៣៤ ៥ ៦៧៨៩ Khmer

๐ ๑ ๒ ๓ ๔ ๕ ๖ ๗ ๘ ๙ Thai

໐ ໑ ໒ ໓ ໔ ໕ ໖ ໗ ໘໙ Lao

Page 7: 01 history of numbers and numerals

Because…

1 39

459

48,959

0It was formed by

Hindu or, now, Indian.

It was presented in Europe by

Arabic, people in middle east Asia.

2,58625

Page 8: 01 history of numbers and numerals

Ancient Egyptian Numerals

Page 9: 01 history of numbers and numerals

Babylonian Numerals

Page 10: 01 history of numbers and numerals

Roman Numeral