Math project 821 By Kenji Yeoh

1. Number Concept
Kenji Yeoh 821

2. What is number concept?
Number concept is having an idea of the
concept of a number. Or, having an idea what
a number is. For example, the number one is
an odd number higher than zero and smaller
than two. Another example is, a prime
number cannot be divided without the answer
being a whole number.

3. Number concept chart

4. Number Sense
When understanding number concept, a
person will also develop number sense.
Number sense is understanding and knowing
numbers and using those understandings to
solve and check calculations. For, example, if
odd numbers cannot be divided equally by
two, a person knows that any odd number
divided by two will not have a whole number
as an answer

5. What is a number?
Number- A symbol used to mark a certain
value.
A number is something that is used to
represent the exact value of something like an
apple. Numbers are used everywhere and
especially in math. For example, 1,2,3,4,5, are
numbers.

6. The History of Numbers
The number system was first made in India
and the system was transferred and changed
over to Europe. First it was the Brahmi, then
the zero was introduced with the Hindus.
After that, Arabians took the number
system, changed it again, and the system was
transferred to Europe.

7. Hindu-Arabic System

8. The History of Numbers (Cont.)
In Europe, a Roman writer named Beothius
remade the Hindu-Arabic with Apices. These
apices were used to represent a number and
each had their own name. These apices were
later evolved into the modern-day numeral
system.

9. Apices

10. The History of Numbers (Cont.)
Before the Hindu-Arabic numeric system
was adopted, Europeans used the Roman
Numeral System which consisted of letters like
I,V, and X.

11. Roman Numeral System

12. Types of numbers
There multiple types of numbers. The most
broad groups are real and imaginary numbers.
Then there are irrational and rational
numbers. Then there are integers. Next, is
whole numbers, and finally there are natural
numbers.

13. The groups of numbers

14. Real and Imaginary
Real numbers are numbers that are
possible. Imaginary numbers are numbers that
are not mathematically possible. Real
numbers for example, are a+b=c. An example
of an imaginary number is a times a equals
negative b. Why a times a equals negative b is
imaginary is because when a number is
squared, it will turn positive.

15. Rational and Irrational
A rational number is a number that can be
expresses as a fraction or a ratio. An irrational
is a number that can’t be written as a fraction
or a ratio. Examples of rational numbers are
1,1/2,0.89, and 35%. Examples of irrational
numbers are pi and 0.52145679... All
integers, fractions, and percent are rational.
Terminating decimals are rational too and
certain repeating decimals like 0.333..

16. Integers, whole numbers, and natural
numbers.
Integers are numbers that aren’t
decimals, fractions, or percents. Examples
are 1,2,-3,-4. Whole numbers are
integers that aren’t negative. Natural
numbers are numbers used for counting.

17. Odd and Even
Odd numbers are numbers that when
divide by two, the answer is not an integer.
Even numbers are numbers that when divided
by two, the answer is an integer. Examples of
even numbers are 0,2,10, and 34.

18. Prime and Composite
Prime numbers are numbers that have the
factors of one and itself. 1,3,5,7 are examples
of prime numbers. Composite numbers have
more than the factors of one and itself.
9,2,6,10 are examples of composite numbers.

19. Prime and Composite Table

20. Factors
A factor is an integer that can be used to
multiply another factor to get a certain
number. For example, the numbers 1,2,4,5,10,
are factors of the number twenty. So, twenty
is composite.

21. Negative and Positive
Positive numbers are numbers greater
than zero while negative number are numbers
less than zero.

22. Decimals, Percents, and Fractions
Decimals, percents, and fractions are
“parts” of a number. For example, 0.5, ½, and
50% are all half. Decimals, percents and
fractions can also be converted to each other
by using methods of conversion.

23. Example

24. Reference Page
• http://www.mathleague.com/help/integers/in
tegers.htm
• http://www.mathsisfun.com/numbers/imagin
ary-numbers.html
• http://www.factmonster.com/ipka/A0876704.
html
• http://dictionary.factmonster.com/number
• http://c2.com/cgi/wiki?PrimeNumber

25. Reference Page
• http://www.hsv.k12.al.us/dept/etv/number_p
df/number_concept_intro.pdf
• http://dictionary.reference.com/browse/num
ber
• http://www.susa-
parentcenter.com/preschool-math-
concepts.php
• http://www.archimedes-lab.org/numeral.html

26. Reference Page
• Number words and number symbols: a
cultural history of numbers By Karl Menninger

27. Fin