About "Numbers and their types"

Numbers and their types :

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

Types of numbers:

 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

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

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

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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 