Introduction to numbers exam preparation:
Numbers are mathematical objects, present everywhere. They are more important to measure and to count anything. All the fields of developments are been estimated using the numbers only. Especially in this economic world, nothing can be executed without the numbers. Numbers are mostly used in mathematics, science subjects and in numerical calculations. Example: Used to count pages in the book.
Preparation of Integers and Types of numbers during exam:
In general, there are types of different numbers like natural numbers, real numbers, complex numbers, finite numbers, infinite numbers, and it goes on.
Some of the types of numbers that can be mentioned during the exams are:
1. Preparation of Natural numbers: The numbers that can be counted are called natural numbers.
The set N= {1, 2, 3...,} is a natural number series.
They are also called as counting numbers.
2. Preparation of Whole numbers: These numbers are also same as the natural numbers, but these include the zero's.
The set W= {0, 1, 2, 3....,} is a whole number series. But zero is not a whole number.
3. Preparation of Even numbers: The numbers N= {2, 4, 6, 8....,} are called as even numbers.
4. Preparation of Odd numbers: The numbers N= {1, 3, 5, 7....,} are called as odd numbers.
5. Preparation of Rational numbers: These are the numbers of the form a / b. In which a, b belongs to natural number and b not equal to zero. Then it is a set of rational numbers.
Also, If both a, b are of the same sign then it is a positive rational number.
If both a, b are of the opposite sign then it is a negative rational number.
6. Preparation of Real numbers: The numbers that including the natural numbers and the whole numbers are called as real numbers. Also the decimal points,
This is represented as, Simple example for exam 123.987
7. Preparation of Complex numbers: The numbers with the real part and the imaginary part is called the complex numbers.
Integers:
There are two types of integers,
The numbers {-4,-3,-2,-1, 1, 2, 3} are integers. Here,
*Positive integers: The natural numbers are also called as the positive integers.
Example for exam: Z+ = {+1, +2, +3}.
*Negative integers: The set Z- = {-1, -2, -3, -4} are called as the negative integers.
Preparation of Properties of Numbers during the exam:
In exams the properties to be mentioned are,
* Numbers can measure anything.
* Numbers used to count the quantity.
* Numbers are infinity.
* Numbers are unique.
Numbers are mathematical objects, present everywhere. They are more important to measure and to count anything. All the fields of developments are been estimated using the numbers only. Especially in this economic world, nothing can be executed without the numbers. Numbers are mostly used in mathematics, science subjects and in numerical calculations. Example: Used to count pages in the book.
Preparation of Integers and Types of numbers during exam:
In general, there are types of different numbers like natural numbers, real numbers, complex numbers, finite numbers, infinite numbers, and it goes on.
Some of the types of numbers that can be mentioned during the exams are:
1. Preparation of Natural numbers: The numbers that can be counted are called natural numbers.
The set N= {1, 2, 3...,} is a natural number series.
They are also called as counting numbers.
2. Preparation of Whole numbers: These numbers are also same as the natural numbers, but these include the zero's.
The set W= {0, 1, 2, 3....,} is a whole number series. But zero is not a whole number.
3. Preparation of Even numbers: The numbers N= {2, 4, 6, 8....,} are called as even numbers.
4. Preparation of Odd numbers: The numbers N= {1, 3, 5, 7....,} are called as odd numbers.
5. Preparation of Rational numbers: These are the numbers of the form a / b. In which a, b belongs to natural number and b not equal to zero. Then it is a set of rational numbers.
Also, If both a, b are of the same sign then it is a positive rational number.
If both a, b are of the opposite sign then it is a negative rational number.
6. Preparation of Real numbers: The numbers that including the natural numbers and the whole numbers are called as real numbers. Also the decimal points,
This is represented as, Simple example for exam 123.987
7. Preparation of Complex numbers: The numbers with the real part and the imaginary part is called the complex numbers.
Integers:
There are two types of integers,
The numbers {-4,-3,-2,-1, 1, 2, 3} are integers. Here,
*Positive integers: The natural numbers are also called as the positive integers.
Example for exam: Z+ = {+1, +2, +3}.
*Negative integers: The set Z- = {-1, -2, -3, -4} are called as the negative integers.
Preparation of Properties of Numbers during the exam:
In exams the properties to be mentioned are,
* Numbers can measure anything.
* Numbers used to count the quantity.
* Numbers are infinity.
* Numbers are unique.
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