What is transformations

In the previous post we have discussed about word problem solver free and In today's session we are going to discuss about What is transformations.
If we move any shape in any direction then after every rotation we get its original position is said to be transformation. Now we will see some properties based on Transformations. Properties of transformation are given below.
1.    Projective properties
2.    Affine properties
3.    Metric properties
4.    Affine geometry
5.    Projective geometry
Now we will see theorem based on transformation. Theorem of transformation is given below:
Theorem of ceva for concurrent lines;
Theorem of Menelaus for collinear points;
Theorem of pappus – pascal;
And theorem of Desargues;
Now we will discuss the concept of coordinate transformation.
As we know that the Cartesian coordinates system is fully defined by its origin and vectors along x-axis and y-axis.
Let we take first origin ‘O’ and unit vector OX1 and OX2 and we take a point ‘N’ which has coordinates (a, b) relative to that coordinate system.
Then we have new coordinates with the origin O’ and unit vectors OX1 and OX2 and point ‘N’ has coordinates (a', b') that is related to the new coordinate system.
Then the transformation formula between (a, b) and (a', b')
ON= OO' + O'M
 N = O' + a’ O'N1' + b' O'N2'
N = O' + a'(N1' - O') + b' (P2' - O')
With coordinates this will becomes
(a, b) = (ao, bo) + a'((s1, t1) - (ao, bo)) + b'((s2, t2) - (ao, bo))
a = bo + (s1 - ao) a' + (s2 - ao) a'
b = bo + (s1 - bo) a' + (t2 - bo) a'
 With matrix notation this becomes
[a]   [(s1 - ao) (s2 - ao)] [a']   [ao]
=   +[a]   [(t1 - ao) (t2 - ao)] [a']   [ao]
This is all about transformation.
Now we will see How to Find Volume of a Cylinder. Volume of cylinder is given as:
Volume = pi * r² * h. icse syllabus can be downloaded from many websites.  

word problem solver free

 In the previous post we have discussed about Free Math Help and In today's session we are going to discuss about word problem solver free.


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Solving a word problem is itself an art. For this we need to learn the tips and tricks so that the concept is cleared before we proceed to solve the given problem. Problem solving is not at all possible until the  child completely understands the problem. We are going to discuss here the different types of the key words which usually appear in the word problems and then the methods used to solve the  problems and followed. Here we will discuss some of them:
1.       If in the problem we come across the words like  Add, Join, Join together, Combine, Bring together,  Sum, Added to , In All etc, then we observe that the figures given in the word problem are to be added to get the result.
2.       If we find the words like reduced, Subtracted, decreased,  less etc, then we say that the  result can be attained by  finding the  difference between the two figures.
3.        Repeated addition means subtraction, so when we  come across the problems, where we have to  proceed for finding the value which is based on repeated addition, then we will multiply the given terms.
4.        On the other hand we say that the division means the repeated subtraction, so when we have the problems such that the  value for more terms are given and the unit value is to be calculated, then we say we need to perform the operation of division in the given problem.
We have word problem solver free, which is available online , it supports the learners to understand the methods of solving the given problems and to get the solution. We can take the help of online tutors to know about Lewis Base. Also iit jee syllabus is available online to understand more about the contents to be prepared for the upcoming exam. 

Free Math Help

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Students are scared of mathematics and thus they usually run away from the subject. In order to get rid of the problem and to create the interest of upcoming generation, certain innovative methods of teaching the subjects are used. It involves the introduction of different teaching aids along with manipulative methods, which help to make the concept more clear and thus develops the interest of students in the subject.

In this context, math labs are introduced in schools, where the students get hands on exposure to the formulas and the theorems. This makes the teaching learning of math subject easy, fast and improves the understanding concept of the students. Further this method also helps to relate the real life problems of the subject with formulas. This solves the basic objective of teaching learning process. Children come up with different innovative ideas and thus their logical thinking concepts are developed.

Further Internet has also helped in making teaching and learning of mathematics easy. Online math tutor provides the online help to the students when ever and where ever required. This Free Math Help, supports the students to understand the subject and helps to get the solution to the problems when student is stuck up somewhere. These online tutors are helpful to the students when they need the support to get the solution of the problems. There are several online math tutors available for guiding the students time to time. To study about the Lewis Acid, we can take the online help to know its composition and uses.

Also to get the icse syllabus 2013, for different subjects, we can visit the website of icse and download all the necessary contents as per our requirement for preparation. In the next session we will discuss about word problem solver free. 

free math tutor online chat

In the previous post we have discussed about free online tutoring chat and In today's session we are going to discuss about free math tutor online chat.


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We usually find students who do not feel comfortable with study of mathematics and run away from the subject. Teachings of mathematics need to be made more interesting and innovative, for this we find online math tutors play a major role. They have enhanced the method of solving mathematical problems in very clear and easy way. A child once understand the concept, it becomes easy for him to relate the solution with real life and its application in daily life. For this we make use of free math tutor online chat.

With help of math online tutor, a child is always provided with online support to guide him for his problems. He feels free to ask questions any number of times and is provided with well explained solution. All the related queries are satisfied and are explained by the tutor which is available online.

Different companies provide online chat support with subject experts for 24 hours. Only requirement is that a child must have a Personal computer along with an internet connection. Also the child must be friendly to operate the computer system. By Online Chat a student can get the individual attention and can ask the problems individually for any number of times without any hesitation. Thus it gives a full time support in academic development of child.

We can say that online tutor is a boom for students of this generation. Information technology has supported the education system up to the extent that at times students start feeling like having online education instead of going to school.

To learn about Physical and Chemical Changes, which is in the cbse syllabus for class 10, can be studied online too.

free online tutoring chat

In the previous post we have discussed about free online tutoring chat and In today's session we are going to discuss about free online tutoring chat.


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In order to learn different topics of mathematics and to clear the doubts, every child needs to be under hands of an expert. Such guidance can help the child to escape from the subject phobia, moreover child develops the confidence to solve variety of problems by himself. Thus child is able to relate such an important subject with real life and solve various real time situations correctly and accurately.  

Free Online Tutoring Chat is always available at many math tutors to support learners and guide them to solve their problem which is very economical method of getting problems solved. So child is able to open the website and proceed for online chatting with subject experts which are available online to solve the problems of students. These features are boon for the learners, which they are able to avail with advancement in technologies. They need not to search for guide and helpers. Software is so well designed that individual attention is paid to each and every child who uses online tutoring.

 These features are free of cost by math tutors. We only require to have computer with internet connection. Child is free to ask queries related to any grade and any topic of desired subject, irrespective of the doubt that his / her problem will be cleared or not. They are self explanatory and thus helps to develop the confidence level of the child.

Period Of A Wave can also be learned by the online tutors and various worksheets related to it can be solved. Icse Syllabus consist of this topic in grade X and XII. We can also download different question papers of previous years, which are available online. 

mathematical word problem help

In the previous post we have discussed about free online tutoring and In today's session we are going to discuss about mathematical word problem help. In mathematics various kind of calculative are specified in the form of equation, expression and some problem in the form of words. It means to say that mathematical problems can also be described in the form of words. Mathematical word problem is a collection of sentences that helps in describing a problem which needs to be solve. There are various kinds of websites available that provide word problem help in solving mathematical problem. These concepts help the students to easily understand the word problem and also learn how to solve them.
When we are going to solve mathematical word problem then we need to remember some of the points that can help in understanding the concept of word problem. According to word problem help we first required to clearly understand or read the problem. When we perform a deal with word problem then in next step translate the word problem into mathematical equation. The process of translating word problem into mathematical expression we need to convert sentences into equation line by line then make a focus on keyword, symbols which indicates mathematical operations for performing any particular tasks.
There are many such kind of mathematical tools are also available like online tutor, tutorial material that can helps in understanding and solving mathematical problem in an easier manner. In schools, the process of learning or dealing with word problem is started from grade fifth. Due to this practices students gets experienced in solving mathematical word problem. Some easy steps for Word problem solutions are:
I ) Properly understand the given word problem.
II ) After that translate the word problem into mathematical expression line by line.
III ) In last step arrange them in proper order of mathematical operations.

According to probability theory and study of statistics, we can define Relative Standard Deviation as a value which absolute in nature with the coefficient of variations. Central board of secondary education conducts an examination for grade 10th and 12th which is popularly known as cbse board papers.  

free online tutoring

Sometime students facing a problem while solving a mathematical problems or getting stress before math test due to math subject. To overcome from these problem students required for extra preparation for math. In school, to provide extra time for students is not possible for teachers. Private tutors are not available all the time. Then a question arises, how a student makes their study better. The solution for this problem is available on various website which named as free online tutoring.

This is a type of tuition, which is provided through the medium of online. Sometime, it is also known E – online tuition that makes the study of all subject better. Free online tutoring is a new revolution in the field of study that introduces new age of learning to the students via online. Through this medium student can get better knowledge from any other kind of resources. E-tutoring provide a platform on which tutor and students can communicate to each other to solve their problems and understand the concept of mathematics. Online tutoring provides a tuition facility to the students without making any charge from the students. The tutor’s which clear all the doubts of the students are expertise in their field from more than 10 years.

Another most important advantage of this tuition is that they make a revision test to check the gaining power of the students before continuing their session. Students can also feel free to ask any question from the tutor here. These kinds of tuition facility are also available all the time. Here all the time refers to 24 * 7 hours. E – Tutoring mainly focus on overall development of student to perform well in the examination and in real life too. At the end, on the basis of student’s feedback they enhance their quality.

In chemistry, the word Quantitative Analysis refers to determine the quantity of any particular component in any given product. icse syllabus 2013 relates to the syllabus of different subject of different classes that are provided to the students.

 

math problem solver

In the previous post we have discussed about 

Get Help from Math Problem Solver 

and In today's session we are going to discuss about math problem solver. Mathematics is a kind of subject through which some of the students facing problems to solve the questions but some of the students having fun when they solving mathematical problems very easily and in quick manner. The basic reason behind the problem of fear from the math subject is that some students do not understand the concepts of any particular problem and from that they are not able to solve the problems. To remove this problem of students various websites provide a solution which is known as math problem solver.

Math problem solver can be consider as a part of mental process which identify the problem, shaped them and then resolve the problem to get the final result. Math problem solver can either be a pictorial or conceptual representation of solving math problem in an easier way that helps the students to solve the mathematical problem. Math problem solver simply describes us different ways how simplify the mathematics problems and what is our desired answer. At the time of solving problems math problem solver also describes how to different procedures and rules can be applied to get the desired answer. (know more about math problem solver, here)

Sometime math provide an opportunity to represent any particular mathematical problem. At that time math problem helps us to understand the problem and elaborate all steps, formula and rules to solve out the problem. Through the process students gets a better knowledge and clearly understand the concepts of mathematics. According to various views of user we can say that math problem solver is a tool that accept the user data and generate the desired output on the basis of selective operations. If any student wants clearly understand the concept at the time of problem solving then math problem solver also provide the facility to show the answer in a stepwise manner.

Qualitative Analysis is a kind of analysis whose result are based on non quantifiable data. Central board of secondary education declare cbse syllabus for class 9 to all affiliated school from cbse.

Get Help from Math Problem Solver

In the previous post we have discussed about free online tutoring and In today's session we are going to discuss about Get Help from Math Problem Solver. Many of us face many problems in solving different math problems even if we are great in mathematics. So for that purpose the experts have developed software or you can say a tool on internet which you can download on your personal computers. By using this sophisticated software you can get the answer of any type of mathematical problem you enter.
This software is generally known as math problem solver. It provides you many options regarding the type of problem you are going to solve like: basic math, algebra, trigonometry, pre-algebra, pre-calculus, calculus, statistics and any more.
The math problem solver shows many bars consisting of different types a problem can be in, and below this it gives you different types of operators like greater than sign, less than sign, division, multiplication, addition, subtraction, equals to and many more operators which we use while solving mathematical equations. The math problem solver has also several higher operators used in higher mathematics like log, natural log, function, union, integration, etc.
Below all these bars we have a block where you have to enter your problem and beneath that block they have given you the examples related with so many topics from different branches of mathematics like lines, points, line segments from algebra, linear equations, factoring polynomials, algebra concepts and expressions, functions, complex numbers, etc and they have also provided brief description about the topics as well. (know more about Math Problem Solver , here)
Now after entering the problem you must enter on the math format button so as to check whether the problem you entered has successfully entered or not. If you want to see step by step solutions of your problem after your answer is displayed then click on the “view steps” button.
Various and mathematics and physics topics like irrational numbers and specific heat of lead is well defined in 10th cbse sample paper.

free online tutoring

In the previous post we have discussed about math problem solver and In today's session we are going to discuss about, Free online tutoring guides the child to solve the problems and understand the concept of the problem without hunting for the expert tutors near by. It helps the child to simply get online help on the desired topic without the wastage of time. These online tutors are available for all and the child simply need to have a personal computer and a internet connection.

This facility of free online tutoring is available not only for mathematics but in all the subjects. The lessons are so planned and prepared that the child can easily understand them and can retain them for long run.

These lessons given online are very interactive and thus they leave the mark on the mind of the learner for the long run. We can use the facility of online tutoring any time in the day without considering if it is a day or night. These lessons can be viewed by the child any number of times without any hesitation of getting the query solved repeatedly. It also saves the time of children and the cost of transportation for visiting the tutor is also saved. We say that the facility of online tutoring is really a boom for the children of today’s world.

To learn about the Square Root Function, we take the help of online free tutor which also have the feature of worksheets and the set of different solved problems.

To know more about the cbse syllabus for class 9 in different subjects, we can visit the web site of cbse and download the syllabus. This can help the students to prepare well for the exams. This syllabus also provide the marks distribution of different chapters.

 (know more about free online tutoring, here)

How to Solve Percent Off Calculator

In the previous post we have discussed about How to use Percentages Calculator and In today's session we are going to discuss about Percent Off Calculator, We will first start with the term percent. It clearly means per hundred, so if we are going to  learn about how to find the percentage of the given value, it clearly means that we want to bring it to the standard scale of 100.
If a child is awarded 20 marks out of 25, it will not make us clear how much percent has he scored, so to find the percentage of marks scored , we need to convert the scale of measurement , which is 25 to the scale of 100.
For this we proceed as follows :
First method is to change the denominator of 20 / 25 to 100, in this method we will simply multiply the numerator and the denominator  by 4. Thus it becomes :
( 20 * 4 ) / ( 25 * 4 )
= 80 / 100, thus the percentage will be 80 % as we call it 80 out of 100.
 In the next method, we are simply going to multiply the given fraction by 100 and we come out with the percentage. SO here again we tr to find the percentage of the same score by another method and we will observe that the result in both the cases will be same.
 (20/ 25 ) * 100
= 20 * 100 / 4
= 20 * 4
= 80 %
Percent Off Calculator, which is available online can help us to make the concepts related to percent clear.
 To learn about the Fundamental Theorem Of Algebra, in detail, we can take the help of online math tutor, which can support us to learn the concept of  algebra theorem clearly. It is explained in a very clear manner. ISEET Syllabus is also available online to understand the  pattern of the question papers which have come in the previous years.

How to use Percentages Calculator

In the previous post we have discussed about What is Prime Factorization and In today's session we are going to discuss about How to use Percentages Calculator, In order to understand the concept of percentages calculator, we will learn how to convert the fraction number  or a decimal number in the form of the percentage. Let us first  look at the   given fraction say 2 / 5. Now in order to convert the given fraction number in the form of percentage, we will  make the denominator as 100. Here we observe that the denominator is 5, so in order to convert this denominator into 100, we will multiply the numerator and the denominator be 20 so that the given fraction number 2 / 5 is converted into its equivalent form such that the denominator becomes 100.

 So we write 2/ 5 = ( 2 * 20 ) / ( 5 * 20 )

= 40 / 100

 Thus we concluded that 2 out of 5 also means 40 out of 100. So it is termed as 40 percent or 40%

Now we will take any decimal number say 2.5

This 2.5 can also be written as 25 / 10, which is in the form of the fraction.

 Now in order to make the denominator 100, we will multiply the numerator and the denominator by 10, such that the fraction now becomes :

25 * 10 / ( 10 * 10 )

= 250 / 100

 Thus we call it 250 %

 Similarly if we have the decimal number as 0.57, we can write it in the form of  57 / 100

 So it will be 57 %

 To understand clearly about  how to solve equations, we can take the help of math online tutor, which will surely help you to solve the problems related getting the solutions to the given equations.

CBSE Board Syllabus can also be taken from the website and  get the detailed information about the  required subjects.

What is Prime Factorization

In the previous post we have discussed about How to learn Rational Number and In today's session we are going to discuss about What is Prime Factorization. By term factors we say that the numbers which completely divides the given number. So if we say that 3 and 2 are the factors of 6, it means that the number 6 is divisible by its factors 2 and 3. Now we will learn about what is prime factorization?  Finding all the prime factors of the given number is called the prime factorization. The method of finding the prime factors of the given number is called prime factorization.  We say that the number 70 can be factorized as follows:
70 = 35 * 2
 Further 35 are also written as 7 * 5, so the factors of the number 70 will be as follows:
70 = 2 * 7 * 5 * 1
Now we observe that the factors of the given number are all the prime numbers. So we can say  that the prime factors  of 70 are 2 * 7 * 5 * 1.
In the same way we take another number say 120, now we have  to find the factors of the given number  120 as 60 * 2, again 60 can be written as  30 * 2, similarly we write 30 as  15 * 2 and 15 can be written as 5 * 3. SO we write the number 120 as follows:
120 = 2 * 2 *  2 * 3 * 5.
Here we observe that the above shown factors are all prime numbers, so we say that 2, 2, 2, 3 and 5 are the prime factors of the given number 120. (know more about Prime Factorization, here)

   We will learn about decimal to percent calculator, by the help of online math tutor and it will help us to shoot all the troubles related to the problems. We can download Tamilnadu examination board sample papers to learn more about the syllabus of the particular subject.

How to learn Rational Number

Rational number is a very common number in mathematics and is used very frequently in applications of science, computers, engineering, etc.
Rational number is a type of number which can be represented in the form of a fraction like p/q, where p and q are integers and q is not equal to zero. We denote the set of rational number using a boldface or Unicode Q which is meant for quotient.
As we know that the denominator q can be equal to anything but not zero, so q can also be equal to 1 and because of this all the integers are rational numbers.
One important and very interesting point about a rational number is that the decimal expansion of the rational number does one of the two things: either it terminates itself after the finite sequence of digits or it starts repeating the same sequence of digits over and again.
There is a real number which is totally opposite of the rational number, which means a number which cannot be written or expressed in the form of a quotient or fraction p/q, where p and q are integers and q is equal to zero is known as irrational number.  (know more about Rational number, here)
The same point about the rational numbers goes wrong in case of irrational numbers and which is that the decimal expansion of an irrational number neither terminates itself ever nor it repeats the same sequence of digits again and again.
Rational numbers are quite dense in real numbers. We can prove that almost all the real numbers are irrational numbers: we know that we can easily count total number of rational numbers or they are countable but irrational numbers are uncountable in nature and since the real number line is consist of two types of numbers: rational numbers and irrational numbers, so we can say that almost all the real numbers are irrational.
In order to get help in topics: rational number, weibull distribution and icse previous year question papers, you can visit Tutorvista.com and In the next session we will discuss about What is Prime Factorization.

Fraction to Percent Calculator

In the previous post we have discussed about How to use Dividing Fractions Calculator and In today's session we are going to discuss about Fraction to Percent Calculator.
We need to know about the fractions and the percent before we work on the Fraction to Percent Calculator. Fractions are the numbers which are expressed as numerator / denominator. Here both the numerators and the denominators are whole numbers and denominator is not equal to zero. Now if we look at percent, we say that percent means out of 100. So if we have to convert the fraction to percent, we need to change the denominator to 100.  It can be done by two ways, one is by converting the fraction into its equivalent form such that the denominator becomes 100 and we will observe in the following examples, that it is not possible in some of the cases to make the denominator as 100. So the second method is to multiply the fraction by 100, we will get the result as the percentage.  In both the situations we get the same result. For instance if we have the fraction ¾ , we proceed by the first method to convert the denominator to 100, for this both the numerator and the denominator are multiplied by 25 and we get
 ( 3 * 25 ) / ( 4 * 25 )
= 75 / 100, thus it becomes 75 out of 100 and so we call it 75 %.
 On the other hand if the fraction is multiplied by 100, we get
= ( 3 / 4 ) * 100 %
= ( 3 * 100 ) / 4  %
 =  ( 3 * 25 ) %
= 75 %
So in both the cases we get the same percentage.

 In order to study Algebra Problems, we can take online help of the math online tutor and learn the basic concepts related to it.  We can visit the site of Maharashtra Board to download the syllabus of different subjects and classes.

How to use Dividing Fractions Calculator

Fractions are written in the form of a / b, where a and b are   whole numbers and b <> 0.  We can work on dividing fractions calculator by simply learning the rules of division of the fraction numbers. We need to know how to perform the multiplication of two fraction numbers before working on the division of fraction numbers. Let us look at the following problem :
Multiply 12 / 9 and 3/ 24
It can be written as: ( 12 / 9 ) * ( 3 / 24 )
Here we will multiply the numerator with the numerator and the denominator with the denominator and thus we get:
=  ( 12 * 3 ) / ( 9 * 24 )
  on cancelling we get:
1 / ( 3 * 2 )  = 1 / 6 Ans
Now we will look at how to perform the division of fractions.
For this we will convert the divisor to its reciprocal and the operation of division changes into the operation of multiplication. Now the problem changes into the simple problem of multiplication and thus it is solved. Now let us see at how to write the reciprocal of the divisor. If we have a fraction a / b, then its reciprocal will be b / a.  Let us take the problem as follows
 Divide 24 / 15 by  12 / 3
 So it can be written as   ( 24 / 15 ) ÷  ( 12 / 3)
Now we take the reciprocal of 12 / 3, which is  3 / 12. So we can write the above problem as :
  (24/15) * ( 3/12)   = 2 /5 ans.


 We can take online guidance of the mathematics tutor to learn How to Find the Area of a Triangle. The syllabus of central board of secondary education class x and class xii can be taken from the website and In the next session we will discuss about Fraction to Percent Calculator.

How to solve Scientific Notation Worksheet

 In today's session we are going to discuss about How to solve Scientific Notation Worksheet. We say that the scientific notation is the method of representing the data , which is commonly used by the scientists to represent very large amount of data or very  small amount of data  so that the processing and the scientific calculations of the numbers becomes easy and  scientists are able to process them to get the relevant output. We can always use the scientific notation to represent the very long figures, which we feel   that is difficult to read and process otherwise. We can look online for Scientific Notation Worksheet, to learn how to write the numbers in the form of scientific Notation. In order to convert the simple natural numbers, or the decimal numbers in form of scientific notation, we will express the number in the form of decimal and  the whole number should be always less than or equal to 9. So if we have a number 1234 , and we need to express this number in the form of scientific notation , then we write the same number as follows :    1.234 * 10>-3
In the same way if we have the number 12.54 and we need to convert it into scientific notation, we write:  1.254 * 10>1
Thus our purpose is to convert the decimal number in the form, such that there exist only one digit before the decimal. To bring the given number in this form, we will convert the number by multiplying or dividing the number by the power of 10.
  To learn about the mathematics topic Binomial Distribution, we must look into the text book of class 11, math. This topic can also be searched online in some of the math tutor. To know about the pattern of the questions in the question paper, we must look into CBSE Class 8 Sample Papers.

Order of Operations Worksheet

In the previous post we have discussed about number line worksheets
and In today's session we are going to discuss about Order of Operations Worksheet, For this we need to know the hierarchy is to be performed in order to get the accuracy in the output. To know more about the hierarchy, we must visit online Order Of Operations Worksheet, and thus it helps us to practice more about how the operations are performed.  Let us first discuss that why do we need to focus on the order of the operations to get the result of the given expressions.  If we do not follow the order of operations, then each time the expression is solved, we get the different result each time. Now if we follow the same set of pattern to solve the given expression then we will get same result every time.
 The order of operation to be followed for solving any mathematical expression is BODMAS.  Here we have:
 B for Bracket
O for OF operation
D for division
M for multiplication
A for Addition
S for Subtraction
 Thus we come to the conclusion that the   Brackets are to be solved first in the given expression, then we will solve the “of “operation in the expression if any. After this we perform the operation of Division followed by the operation of multiplication. After this addition operation in the expression is performed and at last we look for the subtraction operation if any exist in the expression. Thus globally we follow this order of the operation in order to get the solution for the mathematical expression which has more than one operation to be performed in it.


We also have Addition Worksheets online for learning about how to solve the expressions with addition operation. We also have Cbse Board Sample Papers for Class 8 available online to get the information about the pattern of the questions in the paper.

number line worksheets

To solve number line worksheets, we will first learn how to draw a number line and then we will learn how to plot the points on the number line. Once we have learned to plot the points on the number line, a child is able to learn the concept of addition, subtraction and comparison of the numbers on the number line.  To start with, we will first draw a straight line, with the marks on it at equal interval. Now we will observe that the number zero appears at the centre of the number line. The two ends of the number line are indicated by the arrows and the arrows indicate that the line extend endlessly in both the directions. On the right side of zero appears all the positive numbers and the negative numbers appears on the left side of the number line decreasing from zero. Another thing to be remembered is that the more we move towards right side of the number line , the numbers goes on increasing and the more we move towards left side of the number line, the  number goes on decreasing.  SO if we need to compare the two numbers with the help of the number line, we say that we will first mark the two numbers on the number line and then check which of the two numbers appear on the right. The number on the right side represents the larger number and the number on the left side represents the smaller number.  In the same way if we need to add some of the number to the given number, we move to the right and to subtract, we move to the left side.
 To get biology help based on the curriculum of ap board of secondary education, we need to  visit to its site online and update our self and In the next session we will discuss about Order of Operations Worksheet.

fractional notation calculator

Previously we have discussed about area of equilateral triangle calculator and In today's session we are going to discuss about Fractional Notation Calculator, It will help the students for the study of 8th grade math, which will enhance the skills of the child to learn about the fractional notation.  We can find online information about cbse class 12 home science question bank which will guide the students to learn about the pattern of the paper in the fore coming examination. Now if we talk about the fractional notation, then we say that all the decimal numbers can be expressed in the form of the fraction numbers. So we simply have to remove the decimal and the number of digits after the decimal will be replaced by the power of 10 at the denominator.  Let’s look  at the following example :
1.23 can be written as 123 / 100. But here it is in the lowest form as it cannot be further divided into the lower form. (Know more about fraction in broad manner, here,)
 Similarly, we can take other numbers and see that the number can be converted into simpler form of the fraction number. So if we have the number 0.25, it can be written as: 0.25 = 25 / 100
On dividing the numerator and the denominator by 25 we get the fraction as ¼.
 Similarly we look at the percentage of any number and see how to convert it into the fractions. Suppose we need to convert 15 % in form of the fraction, then we say that 15% can be written as 15 / 100. Now we observe that   the HCF of the numerator and the denominator is 5, so we say that we divide the numerator and the denominator by 5 and we get 3 / 20.  So the percentage 15 % can be expressed as the fraction 3/20.
So the fraction notation convert will convert the various values which are either in the form of percent or decimal in the form of fraction numbers.
In the next session we will discuss about Simplifying Rational Expressions

and Read more maths topics of different grades such as how to solve inequalities with fractions in the upcoming sessions here.

Rationalizing the Denominator

Previously we have discussed about area of octagon calculator and In today's session we are going to discuss about Rationalizing the Denominator which comes under andhra pradesh state education board, It defines the method to rewrite a fraction in a form containing merely rational numbers in the denominator. Finding the equivalent expression (which in the denominator not have any radicals) of a radical expression is required in algebra and is known as rationalizing the denominator. In simple words when moving a root value from the bottom of a fraction to the top of fraction is called as rationalizing the denominator . There are basically three types of cases in algebra( check out Algebra Answers for reference) that are:
( a ) square root
( b ) cube root or other roots of higher category
( c ) square root addition or difference
In case ( a ), when in the denominator there is a only single square root then the rationalization process of denominator is done only by multiplying numerator and denominator with the square root. We can understand it by an example as 1 / √ 3 is rationalized by multiplying √ 3 to both numerator and denominator of the fraction. (Know more about  in broad manner, here,)
( 1 / √ 3 ) * √ 3 / √ 3 = √ 3 / 3
In case ( b ) when there is higher root (means cube root etc) in the denominator then we multiply and divide the fraction with something that provides the perfect power. For example if there is cube root of 3 in the denominator than we can multiply it by 9 that is the 2nd power of 3 .
We can understand it also by an example as 1 / ³√ p q that is solved as
1 / ³√ p q = 1 / √ p q * ³√ p ² q ² / ³√ p ³ q ³ = ³√ p² q ²/ p q
In case ( c ) numerator and denominator are multiplied with their difference which can be sum or vice versa . To understand it, one example is discussed that is 7 / 9 + √ 10 then
= 7 / 9 + √ 10 * 9 - √ 10 / 9 - √ 10
= 7 ( 9 - √ 10 ) / 81 – 10
= 63 – 7 √ 10 / 71 .
In the next session we are going to discuss about fractional notation calculator
and if anyone want to know about Inequalities then they can refer to Internet and text books for understanding it more precisely.

Equations with no Solution

Friends, Previously we have discussed about area of an octagon calculator and today we are going to discuss about the linear equations with no solution which is a part of ap state board of secondary education. Before I start first I will tell you about what is linear equation and solving linear equations. A linear equation is an algebraic equation which consists of a term that can be a single variable and constant or product of constants. A linear equation may have more than one variable.
A linear equation can have no solution. For instance:
0x + 2 = 5; here in this given linear equation since 0 is multiplied by x so this will result in a 0. And 0 + 2 is not equals to 5, so from this we can say that any linear equation has a zero as the coefficient of x will not give any solution. Such equations are known as Equations with no Solution.
Whenever we start solving an equation, we always try to make its simplest form. We always start with an assumption that the equation is having an actual solution. We try to solve it and when we end it with an uncertain and wrong answer then it indicates that our assumption was wrong and the equation has no solution. So the statement 2 = 5 in above example is false.
Let’s take one more example: Solve the equation      12 + 5x – 9 = 7x + 5 – 3x
Solution: 12 + 5x – 9 = 7x + 5 – 3x       (given equation)
12 -9 – 5 = 7x –2 x – 5x          (simplify it)
-2 = 0  (Answer)
So the above example gave the result -2 = 0 that is not true; that means that this equation has no solution.(want to Learn more about Equations, click here),
So such equations which has 0 as a coefficient of the variable or the equations which give a wrong or false statement are always the Equations with no Solution.
In the next session we are going to discuss Equations with no Solution
and Read more maths topics of different grades such as Compound Inequalities
in the upcoming sessions here.

Rationalizing the Denominator

Previously we have discussed about adding scientific notation calculator and In today's session we are going to discuss about Rationalizing the Denominator which comes under andhra pradesh state board of secondary education,  The process of eliminating a square root or imaginary number from the denominator of a fraction is termed as rationalization. A rational number is a number that can be expressed as the ratio of two integers, such as 2/3. Any number with a terminating decimal part is a rational number. If decimal part begins to repeat in a numeral, it is also rational number, such as .0303030..., since this can be expressed as 1/33.  Numbers that are not rational are known as irrational.  Examples of irrational numbers are the square root of 2, pi, and e. Examples of rational no are 2/4,3/5.

Rationalizing the Denominator is done to simplifying fractions into simplest form i.e. the denominator should not have an irrational number or a complex number.
In case of real number there are 3 cases where we use rationalization
1. The denominator having single square root
2. The denominator having single higher root
3. The denominator having sums and differences of square roots
case 1:
 When you have a single square root in the denominator you just multiply top and bottom by it.
Example:

1/
=1*/*

=1*/3
in th above example  the denominator is . so we need to rartionaze it forthis we multiply and divide it by the same no . doing this the value of the expression remains same and the square root gets removed from the denominator as * gives 3 which is not irrational

case 2:When we have denominators having higher root
example:   1/

=1/(*)

 = 1/a
since this is a 3rd root, in order to remove the root from the denominator we have to get cube of the values inside the root. To get this we multiply the denominator and numerator with the cube root of the square of the value. Finally we get the cube root of the cube of the value and thus the cube root is removed and we get a rational no in the denominator. (Know more about Rationalizing the Denominator in broad manner, here,)
CASE 3: When the denominator is having   sums and differences of square roots
example:2/1-

=2*(1+)/(1-)(1+)

=2*(1+)/1-3

=2*(1+)/-2

=-(1+)

In this case if a sum is in the denominator we  multiply the denominator and numerator with the difference. And if we have a difference in the denominator we multiply the denominator and numerator with the sum. Thus we rationalize denominator.
In The Next Session We Are Going to Discuss Equations with no Solution

and Read more maths topics of different grades such as Equations and Inequalities in the upcoming sessions here.    

Math Blog on Subtracting Rational Expressions

Previously we have discussed about length of an arc calculator and In this session I am going to tell you about the subtraction in rational expressions which comes under state board of secondary education andhra pradesh. Before starting the topic we must know about the rational numbers. The Rational numbers can be any numbers that can be represented in a form of fraction say a/b where a is the numerator that can be any integer and b is the denominator that is a whole or non zero number. For instance: 2/3, 4/5 etc.
While subtracting rational numbers, we need to convert denominators to a common denominator; otherwise we cannot solve the problem. Now here is the method by which we can solve such problems in mathematics:

1.    First find out the common denominator.

2.    To find common denominator, first find the LCM (lcm calculator) that is Least Common Multiple of all the denominators. We can use the listing method for this, where we can list all the multiples of all the denominators until we find a number that exist in all the lists.

3.    After finding LCD (Least Common Denominator), proceed to the subtraction.

4.    Now make the lowest term of the resultant term and put it into the answer.

We can understand this by solving problems related to the rational expressions subtractions. Here is an example for this.(want to Learn more about Rational Expressions, click here),
Subtract        8/10x – 2/5x
                   First take LCM of 10 and 5, so that we can get the LCD.
                   10: 2*5
                   5:  1*5
So the LCM is 2*5 that is 10. So 10 is also the common denominator.
(8x – (2*2)*x) / 10x (Subtract)
4x/10x (Simplify the term by dividing both the denominator and numerator by 2)
2/5 (answer)
One more example:
Subtract        [x/(x - 1)] – [1/x]    (Take LCM to get LCD).
                   [x*x – (x - 1)] / [(x - 1)*x](Simplify each term).
                   (X2 – x – 1) / (x2 - x)
In the next session, we will learn about Rationalizing the Denominator
and if anyone want to know about Solving Multi Step Inequalities then they can refer to Internet and text books for understanding it more precisely.

Simplifying Rational Expressions

Hi students,Previously we have discussed about area of ellipse calculator and now I am going to discuss about Simplifying Rational Expressions which is a part of ap state secondary education board. The number, which can be expressed in the form of a/b, where a and b are both integers and b cannot be equal to 0 are called as rational numbers. Here a is termed as a numerator and b is termed as a denominator. Any single integer can be written in a fractional form by Solving Equations with Fractions. (Know more about Rational Expressions in broad manner, here,)

In this session, we shall be discussing algebra simplifying rational expressions. Let us take some examples to understand how to simplify rational expressions.

Example 1:- The given expression is 3y / y² . How to simplifying the rational number?
Solution :-
step 1 :- 3*y / y*y
step 2 :- 3 / y
(this is a fraction expression. In this expression cancel the common value . For this expression numerator is 3y and denominator is y². Thus we cancel the common term 'y' ).
Any single digit can be written as a rational number but denominator should not not zero.
Example 2:- Simplify the rational number 12.
Solution :-12 is a rational number because 12 can be rewritten as 12/1. Here 12 is the numerator and 1 is denominator value in which 1 is not equal to 0 and both are positive integer we can say that 12 is a rational number. Also it in simplest form.
Rule for addition of rational numbers:
If we are given, p/q+r/s to simplify, we write (p s+qr) / qs and then solve.

Some examples of addition of fractions:
Example :- (a+6)/3 +(a-9)/6
to solve the rational numbers.
solution :- step 1:- (a+6)*(6)+(3)*(a-9)/ 3 * 6
step 2:-(6a+36+3a-27) / 18
Step 3:-9a+9/18


In the next topic we are going to discuss Math Blog on Subtracting Rational Expressions and Read more maths topics of different grades such as Solving inequalities by addition and subtractions  in the upcoming sessions here.

Multiplying Rational Expressions

Hi children! Previously we have discussed about equilateral triangle area calculator and Today we are going to learn about Multiplying Rational Expressions which is part of andhra pradesh secondary board.
Let’s recall rational numbers. The numbers which can be expressed in form of p / q , where p and q are integers are q is not 0 are called rational numbers. All mathematical operators, i.e., addition, subtraction, multiplication and division can be performed on rational numbers.  While multiplying rational expressions, we need to multiply numerator with the numerator and multiply the denominator with the denominator, unlike addition and subtraction, where we need to find the LCM (lcm calculator) of the denominators. With only simple multiplication we get the result.
Let us understand it more clearly with multiplying Rational Expressions example.
Solve 3/5 *2/7
In this case we observe that 3 and 2 are the numerators and 5 and 7 are the denominators. (Know more about Rational Expressions in broad manner, here,)
So we multiply 3 * 2 =6 and 5 * 7 = 35
= 6/35 Ans.
In the same way if we have three rational numbers say 2/5, 3/8 and 6/9 and we have to multiply three rational numbers then we get
   ( 2/5)* (3/8 ) * ( 6/9)
 We observe that 2, 3 and 6 are the numerators and 5 , 8 and 9 are the denominators
 So multiplying numerators and denominators we get:
 = ( 2 * 3 * 6 ) / ( 5 * 8 * 9 )
= 36 / 360
 Now converting them to lowest terms we divide both numerator and denominator by 36 and get
= (36÷ 10 )/ (360 ÷10)
 = 1 / 10 Ans.
We should also remember that when we multiply any rational number by 1, the number remains unchanged and when the rational number is multiplied by 0 the product is always 0.
In the next topic we are going to discuss Simplifying Rational Expressions
and if anyone want to know about Solving Inequalities with Rational Numbers then they can refer to Internet and text books for understanding it more precisely.

Addition of Rational Expression

Numbers which can be expressed in form of p / q where p and q are integers and q < > 0 are called rational numbers.  Rational expressions are the  expressions which consists of rational numbers. Various mathematical Operation on Rational Expression can be done like addition, subtraction, multiplication and division. We can do all operations on Rational numbers.
On doing addition of Rational Expressions, the output is also a rational number. In order to do Addition of Rational Expression, we first need to make the denominators of the operands same. For this we will first take the L.C.M. of all the denominators given in the expression. Then we try to replace all the denominators with the L.C.M.
For this we multiply both numerator and the denominator with some of the factors of the denominator, so that the denominator is the L.C.M. now. Then we proceed to the addition of the numerators, keeping the denominators same.
Let us look at the example:
Solve the given Rational Expression:   2 +  4/5  + (-3/10)
 Here we observe the three denominators are 1, 5 and 10. L.C.M. of these three numbers is 10.
So to make the denominator of 2 as 10, we multiply num. and denominator by 10
To make the denominator of  (4/5 ) as 10, we multiply both numerator and denominator by 2 and
 ( -3 / 10 ) already has 10 as the denominator.
Now we proceed:
 = 2 +  4/5  + (-3/10)
 = 2 *10/10   + ( 4 * 2 ) / (5 * 2 )   + ( -3 /10)
= 20 /10   + 8 /10 + (-3 /10 )
 = ( 20 + 8 -3 ) / 10
= 25 /10
= 5 / 2 Ans.

This is all about addition of rational numbers. In the nest article we will deal with Division of Rational Expressions.

Division of Rational Expressions

Rational numbers can be written in the form of p / q where p and q are integers and q <> 0. rational expressions is the series of rational numbers combined together with mathematical operators.  We can perform all mathematical operations namely addition, subtraction, multiplication and division on rational expressions and it comes under andhra pradesh board of secondary education. Division of Rational Expressions is very simple and follow a set pattern of steps. Before we start dividing rational expression, we will first understand the concept of reciprocal of rational number. By reciprocal of a rational number, we mean dividing 1 by a rational number. For instance:
  reciprocal of 4 / 7  = 1/ (4/7)
                                     = 7/4.
Always remember there is no reciprocal of zero (0) and reciprocal of 1 is always 1.
While dividing rational expression, we first  write the reciprocal of divident and replace divide sign by multiplication
Further, the sum changes into simple sum of multiplication and the numerator is multiplied by numerator, denominator by a denominator.
eg:  (-3/5) ÷ (4/10)
 we see that reciprocal of 4/10 is 10 / 4, so the above sum becomes :
= (-3/5) * (10/4)
= ( -3 * 10 ) / ( 5* 4)
= -30 /20
converting into lowest term we get
= -3 / 2 Ans.
Like division there are many rational expressions applications, Sometimes division of Rational Expression becomes the part of the expression with other operators. In such cases, we follow the rule of DMAS, where
D- stands for Division,
M- stands for Multiplication
A- stands for subtraction
S- stands for subtraction .
It means that division is the first mathematical operation to be followed in the given expression which is to be simplified.(want to Learn more about Rational Expressions,click here),
eg (-2/5) ÷ (2/6) * (3/7)
 First we solve (-2/5) ÷ (2/6)
                     = (-2/ 5) * (6/2 )
                     = (-2 * 6 ) / ( 5* 2)
                     = -12/10
 Ptting this in given equation we get:
     = ( -12/10) * ( 3/7)
= (-12 * 3) / (10 * 7)
= -36 /70
= -18/ 35 Ans.
This is all about the Division of Rational Expressions  and if anyone want to know about Simplifying Rational Expressions then they can refer to Internet and text books for understanding it more precisely.Read more maths topics of different grades such as Compound Inequalities in the next session here.

Online solutions for Rational Expressions problem

Hello Friends, in today's class we all are going to discuss about one of the most interesting topic from Maharashtra Board Syllabus which is a bit complex topic that is rational expressions applications, Solutions, and Math Help.
Online learning is the best and the most effective way of learing in today’s scenario.
Online learning not only provide ease of learning but also an interactive way too.
Online help is provided by each portal to help the visitors and make easy for  them to learn.
Rational Expressions are as same as any fraction the only difference is that the numerator and dominators are polynomials.
In more simple ways we can term we can define it as rational expression is a ratio of  two polynomials.

Example:
            2x+8
            X⁴-x²        and x³ +x²+2
                                       4x²











But 2-√x is  is not a rational expression because the above term is not a polynomial.
        5-x

In general ratio of two polynomials p(x) and q(x) can be defined as:(want to Learn about Rational numbers,click here),
            f(x) = p(x)
                     q(x)

where q(x) can’t be zero.

Rational expressions can be of two types
·        Proper
·        Improper

Which are based on the degree of polynomials.
Now what is degree?
Degree of an expression the highest power on the variable.

Proper Rational Expression are those expression in which degree on the top is always less then the degree in bottom.
Example:
            X²+2    and       x
            X^{3                           -------}
                                    X²+1


Improper Rational Expression are those expression in which the degree on top is greater than the degree in bottom.
Example:
                        X²+1  and 3x⁵+2x
                        X+1            x³+1


Properties of  Rational Expression
< >Can have any number of vertical asymptotes.Can’t have more than one horizontal asymptotes.Can have at most one oblique asymptotes.
Solution 4:
x+2              =   ( x+2 )                        
x²+2x-15            ( x+5) ( x-3 )

x = -5 and x = 3 and x = 2

After these solutions I think you all must be able to solve all rational expression with bit of practice and efforts and if anyone want to know about Simplifying rational expressions then they can refer to internet and text books for understanding it more precisely.Read more maths topics of different grades such as Probability Distribution in the next session here.