Mathematics would never have been developed without the number zero "0".
And that's what the logo of our classroom. let's start our first session: "The Number System: Number Types"
Two important thing here:
(1) Number line
(2) Euler's Diagram
Number Line:
The number line is usually represented as being horizontal. Positive numbers always lie on the right side of zero, and negative numbers always lie on the left side of zero. An arrowhead on either end of the drawing is meant to suggest that the line continues indefinitely in the positive and negative real numbers. The real numbers consist of irrational numbers and rational numbers, as well as the integers, whole numbers, and the natural numbers (the counting numbers).
Note: Although this image only shows the integers from −9 to 9, the line includes all real numbers, continuing forever in each direction, and also numbers not marked that are between the integers.
Euler's Diagram :
Main types
Natural numbers:The counting numbers {1, 2, 3, ...}, are called natural numbers. They include all the counting numbers i.e. from 1 to infinity.
Whole numbers: They are the natural numbers including zero. Not all whole numbers are natural numbers, but all natural numbers are whole numbers.
Integers :Positive and negative counting numbers, as well as zero. {...,-2,-1,0,1,2,...}
Rational numbers:Numbers that can be expressed as a fraction of an integer and a non-zero integer.[1]
Real numbers: All numbers that can be expressed as the limit of a sequence of rational numbers. Every real number corresponds to a point on the number line.
Irrational numbers:A real number that is not rational is called irrational.
Complex numbers: Includes real numbers and imaginary numbers, such as the square root of negative one.
Number representations
Decimal: The standard Hindu–Arabic numeral system using base ten.
Binary: The base-two numeral system used by computers. See positional notation for information on other bases.
Roman numerals: The numeral system of ancient Rome, still occasionally used today.
Fractions:A representation of a non-integer as a ratio of two integers. These include improper fractions as well as mixed numbers.
Scientific notation:A method for writing very small and very large numbers using powers of 10. When used in science, such a number also conveys the precision of measurement using significant figures.
Signed numbers
Positive numbers: Real numbers that are greater than zero.
Negative numbers: Real numbers that are less than zero.
Because zero itself has no sign, neither the positive numbers nor the negative numbers include zero. When zero is a possibility, the following terms are often used:
Non-negative numbers: Real numbers that are greater than or equal to zero. Thus a non-negative number is either zero or positive.
Non-positive numbers: Real numbers that are less than or equal to zero. Thus a non-positive number is either zero or negative.
Types of integers
Even and odd numbers:A number is even if it is a multiple of two, and is odd otherwise.
Prime number: A number with exactly two positive divisors.
Composite number: A number that can be factored into a product of smaller integers. Every integer greater than one is either prime or composite.
Square number: A number that can be written as the square of an integer.
Reference:
http://en.wikipedia.org/wiki/Number_line
http://en.wikipedia.org/wiki/List_of_types_of_numbers
And that's what the logo of our classroom. let's start our first session: "The Number System: Number Types"
Two important thing here:
(1) Number line
(2) Euler's Diagram
Number Line:
The number line is usually represented as being horizontal. Positive numbers always lie on the right side of zero, and negative numbers always lie on the left side of zero. An arrowhead on either end of the drawing is meant to suggest that the line continues indefinitely in the positive and negative real numbers. The real numbers consist of irrational numbers and rational numbers, as well as the integers, whole numbers, and the natural numbers (the counting numbers).
Note: Although this image only shows the integers from −9 to 9, the line includes all real numbers, continuing forever in each direction, and also numbers not marked that are between the integers.
Euler's Diagram :
Main types
Natural numbers:The counting numbers {1, 2, 3, ...}, are called natural numbers. They include all the counting numbers i.e. from 1 to infinity.
Whole numbers: They are the natural numbers including zero. Not all whole numbers are natural numbers, but all natural numbers are whole numbers.
Integers :Positive and negative counting numbers, as well as zero. {...,-2,-1,0,1,2,...}
Rational numbers:Numbers that can be expressed as a fraction of an integer and a non-zero integer.[1]
Real numbers: All numbers that can be expressed as the limit of a sequence of rational numbers. Every real number corresponds to a point on the number line.
Irrational numbers:A real number that is not rational is called irrational.
Complex numbers: Includes real numbers and imaginary numbers, such as the square root of negative one.
Number representations
Decimal: The standard Hindu–Arabic numeral system using base ten.
Binary: The base-two numeral system used by computers. See positional notation for information on other bases.
Roman numerals: The numeral system of ancient Rome, still occasionally used today.
Fractions:A representation of a non-integer as a ratio of two integers. These include improper fractions as well as mixed numbers.
Scientific notation:A method for writing very small and very large numbers using powers of 10. When used in science, such a number also conveys the precision of measurement using significant figures.
Signed numbers
Positive numbers: Real numbers that are greater than zero.
Negative numbers: Real numbers that are less than zero.
Because zero itself has no sign, neither the positive numbers nor the negative numbers include zero. When zero is a possibility, the following terms are often used:
Non-negative numbers: Real numbers that are greater than or equal to zero. Thus a non-negative number is either zero or positive.
Non-positive numbers: Real numbers that are less than or equal to zero. Thus a non-positive number is either zero or negative.
Types of integers
Even and odd numbers:A number is even if it is a multiple of two, and is odd otherwise.
Prime number: A number with exactly two positive divisors.
Composite number: A number that can be factored into a product of smaller integers. Every integer greater than one is either prime or composite.
Square number: A number that can be written as the square of an integer.
Reference:
http://en.wikipedia.org/wiki/Number_line
http://en.wikipedia.org/wiki/List_of_types_of_numbers
Brilliant effort.. Glad that you are taking time from your busy schedule to write all these blogs and sharing your knowledge with others in a very beautiful manner.
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