**Numbers and their types :**

Here we are going to see different types of numbers with examples.

Natural numbers: |
Set of all numbers which is beginning with 1,2,... is called as Natural numbers |

This is the symbol of representing the set of natural numbers. |

Whole numbers: |
Set of all numbers which is beginning with 0,1,2,3...is called as whole numbers |

This is the symbol of representing the set of whole numbers. |

Integers : |
Integers are set of all whole numbers and their opposites. We are using number line to denote integers....-3, -2, -1, 0, 1, 2, 3.... |

This is the symbol of representing the set of integers. |

Fractions : |
Fractions are numbers expressed as the ratio of two numbers, and are used mainly to express as a comparison between a part and a whole. …,-1, -¾,-½, -¼, 0, ¼, ½, ¾,1,….. |

Decimals : |
In this type the numbers always containing point.If we multiply the decimal with 10,100, 1000 or 10000 like that the decimal will move from right side. The decimal point is helping us to keep track of where the ‘ones’ place is. That is placed to the right of ones’ place. When we move right from the decimal point, each number place is divided by the number "10". ..., -0.5, -0.25, 0, 0.25, 0.5, ... |

Percentage : |
Percentage is the way of representing the numbers in terms of fraction of 100. We can split the word "PERCENT" as "PER + CENT". That means per hundred. Usually, in examination marks scored by the students is represented as percentage. That is, how many marks the student has scored out of 100. 25/100= 25% |

Rational numbers : |
In our number system we are representing the rational number in the form of fraction like a/b. 1.5 = 3/2 |

This is the symbol of representing the set of rational numbers. | |

Irrational numbers: |
An irrational number is any real number which cannot be expressed as a simple fraction or rational number. Π, √2 are some examples or irrational numbers. |

Real numbers: |
All numbers including positive integers, negative integers, rational numbers, irrational numbers, are called real numbers. |

This is the symbol of representing the set of real numbers. | |

Complex numbers: |
Complex number is a combination of real and imaginary numbers. It is usually expressed in the form a+ib where a is the real number and b is the complex number. |

This is the symbol of representing the set of complex numbers. |

Basically there are three ways in which we use number. There are given two names to reflect their uses:

**Cardinal number**
is the number that denotes quantity of something. It answers the
question, How many. So it is also called as counting number.For example
if we ask some one ,"how many friends do you have?". Then the person
will reply you,"i have 5 friends". Like this we have lots of examples.
For this purpose only we are using this cardinal numbers.

**Ordinal numbers**
is a word used to describe the numerical position of objects. If some
students participated in a running race we can order them as first,
second, third, and so on.** First** denotes the child who completed the race first. **Second**
marks the child who came second and so on.Here you can find the links
in which you can get the representation of each numbers and their uses.

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**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**

**Sum of all three four digit numbers formed using 0, 1, 2, 3**

**Sum of all three four digit numbers formed using 1, 2, 5, 6**