Number Concept

Kenji Yeoh 821

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.

Number concept chart

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

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.

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.

Hindu-Arabic System

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.

Apices

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.

Roman Numeral System

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.

The groups of numbers

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.

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..

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.

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.

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.

Prime and Composite Table

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.

Negative and Positive

Positive numbers are numbers greater than zero while negative number are numbers less than zero.

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.

Example

Reference Page

• http://www.mathleague.com/help/integers/integers.htm

• http://www.mathsisfun.com/numbers/imaginary-numbers.html

• http://www.factmonster.com/ipka/A0876704.html

• http://dictionary.factmonster.com/number• http://c2.com/cgi/wiki?PrimeNumber

Reference Page

• http://www.hsv.k12.al.us/dept/etv/number_pdf/number_concept_intro.pdf

• http://dictionary.reference.com/browse/number

• http://www.susa-parentcenter.com/preschool-math-concepts.php

• http://www.archimedes-lab.org/numeral.html

Reference Page

• Number words and number symbols: a cultural history of numbers By Karl Menninger

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