Real Number System Flashcards
(49 cards)
What are the two types of numbers?
Rational and irrational
What did the idea of counting begin with?
Began with the number one
How many years ago did prehistoric civilisations count in ones by carving lines on bones?
20,000 years ago
What ancient artefact is known as an example of carving lines on bones? When is the worlds greatest mathematical treasures
Ishango bone
Where was this bone found?
Find in the Democratic Republic of Congo
What do some mathematicians believe the Ishango bone wise?
The oldest artefact containing prime numbers
When was the set of natural numbers developed?
4000 BC in Mesopotamia, Southern Iraq
When was the idea of numbers zero emerged?
In 650 A.D.
Where was the number zero originated from?
Indian mathematics
What did the Indians use zero a placeholder as?
To distinguish numbers such as three and 30
Who was the 1st to use zero in arithmetic operations?
Indian mathematician, Brahmagupta
How was the set of whole numbers invented?
Zero was added to natural numbers
When did the idea of a negative number start emerging?
Long before zero was accepted as a number
In 200 BC what were the Chinese people doing?
Using counting rods in their commercial calculations
What did red rods represent?
Representing positive numbers
What did black rods represent?
Negative numbers
In India what was the negative numbers used for?
To show debts or money owned
In which century did the whole number system extend to include negative numbers?
19th-century
What is integers represented by?
Z
What does the symbol for integers stand for?
Zahlen - German word for numbers
What did integers include?
Phone numbers and negative natural numbers
Why were fractions invented?
To make sense of dividing a hole into equal parts
What set of numbers were invented to include fractions and integers?
Rational numbers
Define rational number
Any number that can be written as one integer divided by another non-zero integer
