A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4 and so forth.
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 numbers and their types |
An irrational number is any real number which cannot be expressed as a simple fraction or rational number. π are √2 are examples of 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
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
Trigonometry 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