1 / 20

History of Numbers

History of Numbers. What Is A Number?. What is a number? Are these numbers? Is 11 a number? 33? What about @xABFE?. 35,000 BC. Egyptian 3rd Century BC. Additive Numeral Systems.

hermione-demetra
Download Presentation

History of Numbers

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. History of Numbers

  2. What Is A Number? • What is a number? • Are these numbers? • Is 11 a number? 33? • What about @xABFE?

  3. 35,000 BC

  4. Egyptian 3rd Century BC

  5. Additive Numeral Systems • Some societies have an additive numeral system: a principle of addition, where each character has a value independent of its position in its representation • Examples are the Greek and Roman numeral systems

  6. The Greek Numeral System

  7. Roman Numerals

  8. Drawbacks of positional numeral system • Hard to represent larger numbers • Hard to do arithmetic with larger numbers, trying do 23456 x 987654

  9. South AmericanMaths The Maya The Incas

  10. Mayan Maths 2 x 20 + 7 = 47 18 x 20 + 5 = 365

  11. Babylonian Maths The Babylonians

  12. BabylonIan =64 = 3604

  13. Culturesthat Conceived “Zero” • Zero was conceived by these societies: • Mesopotamia civilization 200 BC – 100 BC • Maya civilization 300 – 1000 AD • Indian sub-continent 400 BC – 400 AD

  14. Hindu-Arabic • We have to thank the Indians for our modern number system. • Similarity between the Indian numeral system and our modern one

  15. From the Indian sub-continent to Europe via the Arabs

  16. Indian Numbers

  17. Pythagoras’ Theorem a2 = b2 + c2 a2 = 12 + 12 Soa2 = 2 a= ? a 1 1

  18. Square roots on the number line √1 √4 √9 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 √2

  19. Square roots of negatives Where should we put √-1 ? √-1=i √1 √4 √9 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 √2

  20. Imaginary numbers 4i 3i Imaginary 2i i √1 √4 √9 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Real √2

More Related