counting money

In the previous post we have discussed about Negative and Positive Numbers and In today's session we are going to discuss about counting money.
When we talk about the transactions in earlier times, we recall the barter system of transaction. In this system we exchange the articles as per our requirements. Later the transaction of the objects was converted into the standard form, where the cost of each item was calculated in terms of the currency of each country. We call this currency as money.  Let us talk about counting money, where we have the standard unit of money in India as Rupees.
In case of Rupees, we say that 1 rupee is equal to 100 Paisa.
Now we say that the money can be converted into paisa in the following ways:
If we talk about converting rupees into paisa we say that the rupees will be multiplied into paisa by multiplying it by 100. So if we need to convert 3 Rupees into paisa, we write 3 Rupees = 3 * 100 = 300 Paisa
Similarly we say that Paisa will be converted into rupees by dividing paisa by 100. So we say that we proceed as follows:
400 Paisa = 400 / 100 = 4 Rupees
655 Paisa = 655 / 100 = 6 Rupees and 55 Paisa or we write it as Rs 6.55
If the amount of paisa is less than 100 paisa, we say that the money in rupees will be expressed as follows:
60 paisa can be written as Rs 0. 60 or we write as 0 Rupees and 60 Paisa.
 We can take help math online tutor to learn about how to Solve Systems of Equations. We can also download the icse board papers from the internet to get the detailed idea of the pattern of question paper. This helps the child to prepare for the upcoming examinations.

Negative and Positive Numbers

In the previous post we have discussed about Functions and Relations and In today's session we are going to discuss about Negative and Positive Numbers.

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Integer numbers extend from negative infinite to positive infinite numbers. Now we will look at Positive And Negative Number.

If we draw a number line representing the integer numbers and observe that numbers representing on the left side of the number line are all negative numbers and the numbers represented on the right side of the number line are positive numbers. Now if we look at the Positive and negative numbers, we observe that every positive number has its reverse and if we add the positive number and its reverse, we get the result 0. So we call 0 as the additive identity. We can express this relation as follows:

Let the number is 5, its negative number is (-5). Now if we add 5 and -5, we get:

  = 5 + (-5) = 0.

All mathematical operations can be performed on positive and negative numbers. Even positive numbers can be compared.

While comparing numbers we must remember the following rules:

1.    If we compare the positive number with number zero, we say all positive numbers are always greater than 0.

2.    If we compare a negative number with number 0, then we conclude that all negative numbers are always less than zero.

3.     If positive and negative numbers are compared, we conclude that all negative numbers are always smaller than positive numbers.

4.   More we move to the left of the number line, the numbers goes on decreasing. On another hand, if we go on moving to the right of the number line, we come to the conclusion that the number increases.

Natural Elements can be studied in books of cbse class 10 sample papers.

Functions and Relations

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Hello friends, in this blog we will understand the concept of Relations and Functions. Here we will discuss relation and function one by one. First we will talk about relation. Suppose we have given two sets I and J then relation 'R' can be defined from set 'I' to set 'J', is a subset of I * J. It is denoted in two forms that are given as:

List form

Tabular form

There are different types of relation which are shown below.

Ø Reflexive Relation

Ø Symmetric Relation

Ø Transitive Relation

Now we will see small introduction about all these given relations. First we will discuss reflexive relation.

Reflexive relation is a relation such that every element is related to itself. For example: (I, I) Є R for all i Є I.

Symmetric relation: Any relation 'R' is called as symmetric relation if (i, j) Є R = (k, i) Є R for all i, j Є I.

Transitive relation: Any relation 'r' is said to be a transitive relation if (i, j) Є R and (j, k) Є R => (i, k) Є R for all i, j, k Є I.

Now we will understand the concept of function.

Function is a group of ordered pair in which two terms present in pair must be different. Now we will discuss different types of function which are given as:

Ø One – one function

Ø Onto function

Ø Into function

Let’s have small introduction about all given functions. First we will understand the concept of one – one function.

One – one function - A function f: I → J is called as one – one function if every input term 'I' has different image in 'J'. So we can also write it as:

f : I → J is one – one if value of 'I' not equal to 'J'. (I ᚌ J) → f (I) ᚌf (J) for all IJ Ԑ I.

Molar Mass of Water is the mass of one mole of H₂O. Cbse sample paper for class x is helpful for preparation of board exams. In the next session we will discuss about Negative and Positive Numbers. 

algebra word problem solver free

In the previous post we have discussed about how to do pre algebra and In today's session we are going to discuss about algebra word problem solver free. We come across many real life problems, which are solved by the help of forming the equation. These equations are formed by considering the variables and then forming the required equations based on the given relations.

We have Algebra Word Problem Solver Free online which can be used to understand the concept how the relations are expressed in the form of the expressions and how the equations are formed. We also use the online Algebra Word problem solver to learn how the formed equation can be solved. The equation solution simply means to find the value of the variable. The value of the variable which we get by solving the equation is the solution to the given equation. This value when placed in the place of the variable in the given equation, will satisfy the equation .

There are different methods used to solve the algebraic equations. One of the very common method of solving the equation is by the Hit and Trial method. By Hit and Trial method we mean that the different values are placed in place of the variable in the given equation. We need to search the values which when placed in the equation, will satisfy the equation. Let's us look at the following problem:

Find the number which when added to 5 results 9.

Here let's us assume that the number is x. We form the equation as follows :

X + 5 = 9.

Now we say that let the value of x = 1, so on putting the value of x = 1, we get :

1 + 5 <> 9.

So it does not satisfy the equation

Similarly we go on trying different values and finally if x = 4, then

4 + 5 = 9

So, x = 4 is the solution to the equation.

Radioactive Isotopes is one of the topic of Cbse Paper For Class 9.  

how to do pre algebra

In the previous post we have discussed about how many hours in a year and In today's session we are going to discuss about how to do pre algebra. Pre algebra can be considered as a part of algebra which contains all basic concept of algebra. In school, the study of pre algebra starts from grade 5th that continue to grade 8th. The basic reason behind the study of pre algebra is to make the students ready for handling the mathematical algebra. Sometime students face trouble while they are going to solve algebraic equations. The basic reason behind this problem is that students are not able to clearly understand the concept of algebra, at that pre algebra play their role to make the students ready to face the problem and find the solution of their problem on its own.
Here in this section discussion being held on the topic of how to do pre algebra. As the name of topic describes that how a student is being able to solve a problem of pre algebraic equations. To deal with this topic students need to cover some topic that are study the fundamental of number system and their types like integer, fractional number or the concept of factor of number and properties of operations like commutative, distributive and so on. There are so many other concept that also helps in understanding the concept of pre algebra and after that algebra like:
I ) Understand the order of addend means x + ( y + z ) = (x + y ) + z.
II ) Adding any number to zero gives the same output number.
III ) If two variables ate same to each other then their other tasks are also same.

The concept of Rationalizing the Denominator is a process which is perform when we want to convert root of denominator into their numerator value. The 10th cbse sample paper is a similar kind of board paper that helps the students to evaluate their exam preparation.  

how many hours in a year

The hour and year both can be consider as a unit of time. The Hour which is sometime can be referred by hr. It is a unit of time which is equal to the 1 / 24 part of a day, 60 minutes and 3600 second. Day, minutes and seconds are also a unit of time. Normally, time is a important part of life, on the basis of time we decide our lots of work in a real world life. Generally time is measured on a pattern of two twelve hour segments of a day. The first segment of is denoted by AM and second segment is denoted by PM.

On the other side Year can be describe as a time of the earth which is taken to make one move around the sun. According to various scientist’s, a year is equal to the 365 days and 6 hours but remaining 6 hours can’t be calculated in a year. After each 4 year, one year become the year of 366 days because 6 hours of each year make a one day which is added into every 4thyear. Every 4^th year is equal to 366 days popularly known as leap year.

Here in this section discussion held on how many hours in a year. After discussing about hour and year we can easily elaborate the answer of above question. As we know that one year is equal to 365 days and one day is equal to 24 hours. So, we can easily calculate that how many hours in a year in the below given manner.

Hours in a year = 24 * 365 = 8760 hours

If we want to calculate hours in a leap year then it could be 8784 hours in a year.

In chemistry, the transition metal are the most abundant elements and sometime called as Representative Elements. For IIT entrance exam, iit sample papers helps the students to perform better in exams.

 

radical calculator

In the previous post we have discussed about How to Graph an Equation and In today's session we are going to discuss about radical calculator. In mathematics, we will see many types of expression such as polynomial expression. Here we will discuss the concept of radical calculator. An expression which is having root values, such as square roots, cube roots are known as radicals. For example: √ (r + s), and 3√ (r + s). The value of 2 means square root, 3 means cube root and so on. Radicals are denoted by the symbol '√'. Now we will see radical calculator.

Radical calculator can be defined as a online machine which is used to add the multiple values within a seconds. Now we will understand some steps that are used to solve the radical values.

Step 1: Let we have to add two radical values then put two root values in two text box.

Step 2: Then enter solve button to get desired result. Now we will discuss it with the help of example:

For example: Let we have to add two unlike radicals. 2 √7 + 4 √9 + √7 + 5 √9.

Solution: Here we need to see some steps so that we can easily add the radical values.

Step 1: Given radical expression is 2 √7 + 4 √9 + √7 + 5 √9, Now we have to add radical values given in the expression.

Step 2: Now we have to find the common term if present in the given radical expression.

In this expression two pairs are same. So we can write them as:

= 2 √7 + 4 √9 + √7 + 5 √9,

= 2 √7 + √7 + 4 √9 + 5 √9,

Now find common term in expression. (know more about radical calculator, here)

= (2 + 1) √7 + (4 + 5) √9, Now add the radicals we get. On adding these values we get;

= 3 √7 + 9 √9. In this way we can easily add radical.

Relative Standard Deviation can be defined as a measure of precision. Mostly it is also known as coefficient of variation used to find the percentage.

To achieve good score in 10 th board then please prepare 10th maths question paper.

How to Graph an Equation

Hello friends, in mathematics, we will study different types of equation such as quadratic equation, linear equation. Here we will see How to Graph an Equation. When we are going to plot a graph of the given equation then if we get straight line then the equation is said to be linear equation. For example: y = mx + c; here ‘m’ denotes the slope of a line and ‘c’ denotes Y- intercept where the line crosses the y- axis. Now we will see process of solving systems of linear equations. Here we have to follow some steps to solve the equation. (know more about Graph, here)

Step 1: First we take two equations. Let we have linear equation 2u + v = 12 and 4u – 3v = 6,

Step 2: Then find the value of one variable and put this variable in second equation. Here in this given equation for ‘v’, we cannot solve for ‘u’. So we can write the first equation as:

⇒2u + v = 12;

⇒v = 12 – 2u; so we find the value of ‘v’. Now put the value of ‘v’ in the second equation. On putting the value of ‘v’ in the equation we get:

⇒4u – 3v = 6; put value of ‘v’ to find the value of ‘u’.

⇒4u – 3 * (12 – 2u) = 6, on further solving we get:

⇒4u – 36 + 6u = 6;

Now we add like terms if present in equation;

⇒10u = 42;

⇒u = 4.2.

Now put the value of ‘u’ in 1st equation.

⇒v = 12 – 2u;

⇒v = 12 – 2 * 4.2;

⇒v = 3.6;

So, the value of ‘u’ and ‘v’ is 4.2 and 3.6, if we put these value in the graph then we get a straight line graph. This is how we can solve the equation.

To get more information about Sin Cos Tan Chart then follow online tutorial of trigonometry. Before entering in the examination hall please solve 8th class question papers.

Multiplying Fractions

In the previous post we have discussed about Dividing Fractions and In today's session we are going to discuss about Multiplying Fractions. Number system can be considered as a important part of mathematical body because without using a number system we can’t solve any mathematical problem. In the category of number system, fraction is a special one which is able to solving various kinds of problems. Fraction is a way of representing any two whole in the form of ratio. Here the word ratio refers to put two numbers in that manner like one number is divided by another number. Suppose there are two numbers like a and b. Now it can be represented in the form of a/b.

In the simple sense we can say that fraction is a mathematical concept to divide an object into equal parts. Suppose there is a number 6 / 5 where upper value of fraction called as numerator and below value known as denominator. Here we are going to discuss about Multiplying Fractions where the given name specifies that calculating product value between more then one fractional numbers.

To perform the successful multiplying fractions we need to follow some steps that are given below:

STEP A): First of all multiply the numerators of both given values. 

STEP B): After that do the same task for denominators values.

STEP C): In the last step we there is any need then simplify the obtained fraction as possible.

The above are the most basic steps that helps the user to clarify their doubts about the concept of Multiplying Fractions very easily. The above task can be performed by simplify the fraction first after that performing the calculation of product between both value of fraction. The process of simplifying the fraction can be done by obtaining the concept of multiplication between numerator of one fraction with denominator of another fraction. that minimize the given fraction before calculating product of fractions. (know more about Multiplying Fractions, here)

The first Law of Thermodynamics is a special kind a law of conversion that perform the task of conversation of energy for thermodynamics systems. In the cbse board examination, for students guidance cbse syllabus helps the students to make their preparation easy. 

Dividing Fractions

In the previous post we have discussed about How to Solve Multi Step Equation and In today's session we are going to discuss about Dividing Fractions. Hi friends, we will study many types of number in mathematics. Here we will discuss about the fraction. The number written in form of numerator by denominator or (in x / y form) is known as fraction. For example: 5/15, 8/10, 79/200 and so on all are fraction numbers. The upper part present in a fraction is said to be numerator and the lower part present in a fraction is said to be denominator. Now we will see how to dividing fraction numbers. To Dividing Fractions we need to follow some steps.

Step 1: First we have to take two fraction values. Suppose we have 7 / 10 and 11 / 17, then divide the fraction. First of all write both fraction values in the division form. So we can write it as:

= (7 / 10) / (11 / 17).

Step 2: To divide the fraction number first write the multiplication form. So if we write the fraction values in multiplication then numerator value become denominator and denominator value become numerator. The above fraction values we can write as:

= (7 / 10) / (11 / 17),

= (7 / 10) * (17 / 11).

Step 3: Then cancel the term which can be easily cancel out. Other wise multiply the numerator value to the numerator and the denominator value to the denominator. The above values are not in the position to cancel out so multiply. So we can write it as:

= 7 * 17 / 10 * 11. on multiplying we get:

= 119 * 110. This is the required solution.

For example: Divide (5 / 9) / 15 / 20. (know more about Dividing Fractions, here)

solution: Here we need to follow the above steps to divide the number.

= (5 / 9) / (15 / 20). write the number in multiplication form. So it can be written as:

= 5 / 9 * 20 / 15. if we solve this fraction value we get 20 / 27 as an answer.

The first Law of Thermodynamics can be defined as the fundamental thermodynamics relation for a close system. To prepare for the ICSE exam please prefer the icse question papers.

How to Solve Multi Step Equation

In the previous post we have discussed about Rational Function and In today's session we are going to discuss about How to Solve Multi Step Equation. In multi – step equations, we solve the equation in one – step and two steps. When we solve the multi – step equation then we change the position of like variable in one side and unlike variable in other side of equation. Now we will see how to solve multi step equations.
To solve multi step equations we have to follow some of the steps:
Step1: To solve multistep First we have a multistep equation.
Step2: Then combine all the like term in one side or divide that number on both sides of the equation.
Step3: And take the constant number in other side of the equation.
Step4: Then we make one term equation in both the equations.
Step5: If we calculate the equation then we change the sign of the variable. If the number is positive then we change it into negative and the number is negative then we change it into positive.
Step6: At last we get the answer.
Now we will see some of the example by using all the above steps:
Step1: firstly we have a multistep equation:
      -7 (6q -8) = 6q + 24, then we solve the bracket and make the equation in proper form.
      ⇒-42q + 56 = 6q + 24, Now follow the same processor i.e. (know more about Multi Step Equation, here)
Step 2:- This equation has its own variable on both side of equal sign. So put the like variable on the same side. Let’s move the value 6q from the right side to left side and by subtraction 6q on both side of the equation.
         -42q + 56 = 6q + 24;
         -6q              -6q
        -48q +56 = 24,
Step: 3- On solving the equation we use new procedure of one and two step equations. On subtract 56 on both side of the equation:

       -48q + 56 = 24
                 -56   -56
             -48q = -32
Now divide the equation by -48 on both sides.
          -48q     =   -38
           -48            -48
  q = 38/48;
  q = 0.79;
 We get the value of q = 0.79. This is how we can solve the multistep equation.
Now we will see What are Isotopes? It can be defined as the atoms of same element have different number of neutrons. Before preparing for exam please prefer the online tutorial of icse board papers.

Rational Function

In the previous post we have discussed about 

Define Complex Number 

and In today's session we are going to discuss about Rational Function. Rational function in the math can be defined as that function that can be expressed in the form of the ratio of the 2 functions which are polynomial. It is not necessary that the coefficients of the polynomials should be rational numbers or the values which are  accepted by the function should be rational numbers. (know more about Rational Function, here)

When we have only single variable say x then any function is said to be the rational function only when that can be expressed in the way which is given below as follows. 

g ( x ) = p ( x ) / q ( x ),

In the above expression the functions p and q are the polynomial functions with variable as x. Also q should not be the 0 polynomial.

Now let us talk about the domain of the rational function. The domain of the function g ( x ) includes all those values of the x for which the function q ( x ) in the denominator does not come equal to 0. It is considered here that the fraction has been expressed in the terms of the lowest degree.  

It can also be said that every single polynomial type of the function is known as the rational function with the condition that q ( x ) = 1. And any function that can’t be expressed in the way described above cannot be called as the function which is rational but we do not use the term irrational for those functions, we use it only for the numbers.

Now let us take some one example of the rational function. For example y = ( x2 – 6x – 7 ) / ( x2 – 5 ) is a rational function which has degree two.

In order to get more help on topics: Rational Function, How Do You Find the Area of a Rectangle and Karnataka Board Syllabus, you can visit our next article.

Define Complex Number

The complex number can be defined as such a number that we can frame in the form of the p + qi in which p and q are the numbers which lie on the real line while i is known as the imaginary unit. It should be known that i * i = i2 = -1. In the form written above for the complex number p is known as the real part of the complex no. whereas q is known as the imaginary part of this number.(want to Learn more about Complex Number, click here)

It can be said that the complex numbers are the ones which help in extending the thought of the number line which is one dimensional to the plane which is complex by utilizing the x axis for the part which is real and by utilizing the y axis for the part which is imaginary.

We can identify any complex number of the form p + qi by any point represented by ( p, q ). It should be known that such a complex no. the real part of which is equal to 0 is known as purely imaginary while such a complex no. the imaginary part of which is equal to zero is simply known as any real number. Thus we can say that the complex numbers include just the simple real numbers but extend them for solving such problems which in general can’t be solved by just the real numbers.  

Now let us take an example of the complex no. say 2 + 3i. Thus in this example 2 is known as the real part of the complex no. whereas 3 is known as the imaginary part of the complex no.. To get area of a rectangle we need to understand formula for area of a rectangle. You can get icse syllabus for class 8 on various online educational portal and In the next session we will discuss about Rational Function.

Is 1 a Prime Number

In the previous post we have discussed about Convert Percent to Fraction and In today's session we are going to discuss about Is 1 a Prime Number. Let us first learn what are prime numbers? The numbers which have only two factors, 1 and itself are called prime numbers. Now another question arises that is 1 a prime number?
If we start looking at the series of the natural numbers and separate the series of the prime and the composite numbers, we find that the number 2 has the factors 1 and 2, so it is a prime number. Next number we have is 3, which has the factors 3 and 1, thus 3 is also prime number. Moving on to 4, we say that factors of 4 are 1, 2 and 4. So 4 is a composite number.  Similarly we go on checking the series of natural numbers and come to the conclusion that 2, 3, 5, 7, 11, 13, 17. . . . are the series of prime numbers and 4, 6, 8, 9, 10. . .  are all composite.  (know more about Prime number , here)
We also must know that 2 is the smallest prime number. Now what about the number 1? We say that the number 1 is neither a prime number nor a composite number. Yes we say that the number 1 has the factor 1 and itself (which is again 1).  But it is a special number, which neither belong to the series of the prime numbers nor to the series of the composite numbers. So the answer to the question that is 1 a prime number is a big NO. Thus we say that 1 is a special number and it does not belong to the family of prime numbers.
To learn about what is a Polynomial, we can visit online math tutor and understand the concept of doing different mathematical operations on the polynomials. To know about the curriculum of math grade 10 for Gujarat board, we can visit the website of the board and collect the required information.

Convert Percent to Fraction

Word percent mean out of 100. Thus when the number 25 % is written, it indicates 25 out of 100. Now let us look at the method to convert Percent to Fraction. If any percentage is given, we will first write it in the form of the fraction, which will represent the number as the numerator and the digit 100 as the denominator. Now we will look into the   number, which has turned in the form of a / b. This value of a and b are the whole numbers where we have b <> 0.  Now the fraction so formed is in the lowest form or not. If not, we will convert the fraction in the lowest form. (know more about Fraction , here)
For this, we will find the HCF of both the numerators and the denominators. In case we get the HCF as 1, it indicates that the fraction so attained is in the lowest form else we will proceed to convert it in the lowest form. For this both the numerator and the denominator are divided by the hcf of the given number. If we have the percentage as 35 %, we will write this percentage as 35 / 100. Now we observe that the HCF of 35 and 100 is 5. So we will divide both the numerator and the denominator by 5 and we get:
35 / 100 = 7 / 20,  which is the required fraction number.
Here if we have to learn about the Temperature Conversion Formula, we will visit online math tutor, where we will learn about the method of converting the Celsius temperature to Kelvin or to Fahrenheit degree.   To know about the curriculum of Maharashtra State Board of Secondary and Higher Secondary Education, we will visit the website of the Maharashtra Board for the particular grade and particular subject and In the next session we will discuss about Is 1 a Prime Number. 

Learn Subtracting Integers

In the previous post we have discussed about Learn Adding Integers and In today's session we are going to discuss about Learn Subtracting Integers. The set of positive and negative numbers excluding decimals and fractions is known as integers. Any positive or any negative number can be included in the integers. (know more about Subtracting Integers, here)
For example: -22, -44, -57, -62, 0, 19, 55, 84, 106, 121, and 171;
The numbers shown above are all the integer numbers. The number ‘0’ is also an integer number.
Let’s discuss the types of integers which are shown below:

1.   Positive integer,

2.   Negative integer,

Let’s discuss the steps for subtracting integers;
We have to follow some of the steps for subtracting integers, the steps are shown below:
Step 1: Firstly we will see all the given numbers, all the given number should be positive or negative integer number for subtracting integers number.
Step 2: In the case of subtracting integers the fraction numbers and decimal numbers are not included in the integer numbers.
Step 3: At last subtract all the given positive and negative integers.
For example: Subtract the number, if the numbers are (-14, -18)?
Solution: If we subtract any integer number then we have to follow all the above steps:
Given, (-14, -18)
If we subtract then we get:
 = -14 - (-18) = -14 + 18 = 4;
For example: when one integer is positive and the value of positive is 115 and one integer is negative and the value of negative integer is -184 then we have to subtract both the integers.
Solution: Given,
Positive integer = 115;
And negative integer = -184;
On subtracting both the number we get:
= 115 - (-184) = 115 + 184 = 299
We get positive integer.
Now we will discuss Inflection Point – A point defines on a curve at which the sign of curvature changes is known as Inflection Point. The Inflection Point may also be stationary points but they are not local maxima and local minima.
To get more information then follow CBSE Board Syllabus.

Learn Adding Integers

In the previous post we have discussed about How to Divide Mixed Numbers and In today's session we are going to discuss about Learn Adding Integers. Let us first talk about the integers. Integers are the numbers which extends from negative integers to positive integer. Here we also observe that every integer has the successor and the predecessor. We can get the successor of any integer by adding 1 to the previous integer and the predecessor can be attained by subtracting 1 from the given integer. Now let us learn about the logics of adding integers.  When we have to add the two given integers, we need to follow certain rules of addition.  When the addition of two integers is to be done, we say that the following rules of addition apply:  (know more about Integer, here)
1.      If both the integers are positive integers, then we will add the two numerical values and the sum of the two integers is a positive integer. Eg : +3 + 6 = + 9
2.      If both the integers are negative integers, then we will add the two numerical values and the sum of the two integers is a negative integer.  Eg: -5 – 4 = -9
3.      If one of the integers is a positive integer and the other is a negative integer, then we will find the difference of the two numerical values and place the sign of the number which has the larger magnitude. Thus by finding the difference of the two integers we will  get the sum of the two integers with the different signs. Eg : -9 + 4 = -5 and  +9 + ( -5) = +4 Ans
 To learn about the Arithmetic Mean, we say that  the concept and the real life applications of the Arithmetic mean can be learned by the help of online math tutors which are available every time. We can also take the help of CBSE Board Previous Year Question Papers to understand the pattern of the previous year question papers.

How to Divide Mixed Numbers

In the previous session we discuss about Multiplying Mixed Numbers and now today we will discuss about How to Divide Mixed Numbers. We know that the mixed fractions are the numbers which are formed by the combination of whole number and the proper fraction. Now we will learn about how to divide mixed numbers.  Let us first take a mixed number divided by the whole number. In this situation, we will first convert the mixed fraction to improper fraction. Now to divide the improper fraction by the whole number, we will first convert the whole number to its reciprocal and then multiply the reciprocal to the improper fraction and get the quotient. Let us take the example as follows:  2 ¼ divided by 3
On converting 2 ¼ into mixed fraction, we get 9 / 4 and the reciprocal of 3 is 1/ 3.
 Now we proceed  by multiplying  9/4 by 1/3 , we get :  ( 9/ 4 ) * ( 1/3 )  = 9 / 12  = 3 / 4
 So we say that when 2 ¼ is divided by 3, we get  3 /4 Ans.
If we have a mixed fraction divided by a mixed fraction, we will convert both the mixed fractions   to improper fractions and then we write it in the form of:
 Dividend   divided by divisor = quotient
So we will convert the above expression by changing the divisor as its reciprocal and changing the  sign of division to multiplication. So it can be expressed as:
  Dividend *  ( reverse of divisor ) = quotient
 Once if the quotient is calculated, we check that if the is improper fraction, then we will express in the form of a mixed fraction, which will be the result of division.
We will learn about how to solve the Absolute Value Equations by visiting online math tutor. We can know about CBSE syllabus by visiting the site of CBSE and collecting the details.

Multiplying Mixed Numbers

By mixed number, we mean the number which is formed by the combination of the whole number and the improper fraction number.  We will learn about multiplying mixed numbers.  Multiplication means repetitive addition. So we say that  if the  fraction 1 ¼  is multiplied by 2, we say  it as two times addition of the fraction  number and it is mathematically expressed as  follows :
1 ¼ + 1 ¼  = 2  + ¼ + ¼  = 2  and 2/4. We can also write it as  2 ½ , by converting it into the lowest form.  So we say   that the whole numbers are added separately and the fractions are added separately. But it is not possible when we multiply a mixed fraction number with another mixed fraction number.

 In case we need to multiply two mixed fraction numbers, then we will first convert the mixed number into the improper number. For this, first the denominator is multiplied by the whole part of the number and then the numerator is added to it.  Once the two improper fraction numbers are   to be multiplied, we say that numerator is multiplied by the numerator and the denominator is multiplied by the denominator.  The result is the product of the two numbers. Now we will convert into the lowest form and then we check if the product is in the proper fraction or improper fraction. Thus we convert the result into mixed fraction, if the resultant fraction is improper; else the fraction is the resultant fraction.
 In order to learn more about the Difference of Cubes, which is the part of math grade 8 can be found online to get the tips about the subject.  Central   education board includes many such interesting topics in the curriculum of math to make the study of mathematics interesting. In the next session we will discuss about How to Divide Mixed Numbers. 

Dividing Integers

 In today's session we are going to discuss about Dividing Integers. Integers are the numbers which consist of the series of all the positive numbers and it extends in the positive and the negative direction. So the list of the numbers is uncountable and the numbers are infinite in number. So we say it extends from positive infinite to negative infinite number.   We know that we can perform all the mathematical operations on the integers. When we want to learn Dividing Integers, we say that what will be the result when one of the integers is divisible by another integer. First we say that the  closure property  does not hold true for the  integers, it means that  if one of the integer is divided by another integer, then we say that  the result is not necessary an integer. Now we also say that if any integer is divided by 1, then we say that the result is also the same integer.
It can be shown as follows: -5 / 1 = -5
Also 9 / 1 = 9
Thus if we have any integer a, then a / 1 = a is the answer.
 Also remember that if the positive integer is divided by the positive integer, then the result is also a positive number. In the same way if we divide any positive number by a negative number, then we say that the result is a negative number.  We come across the third situation when we have a negative number divided by a negative number, then we get the result as a positive number.  So we conclude:
 Positive  / positive  = positive
Positive  / negative  = negative
Negative / Positive = negative
Negative / negative  = Positive
In order to learn how to find Average Weight, we can visit online tutor math. We also have ICSE Textbooks For Class 12 available on web link and in next session we will discuss about Multiplying Mixed Numbers.

Line of Best Fit

A line which passes through the center of group of data points that points are plotted on a scatter plot is known as line of best fit. Scatter plots are used to describe the results of assembly data on two variables and line of best fit is used to calculate whether these two variables are correlated or not. There are many methods for determining the line of best fit:
Line of Best Fit is a mathematical tool which is said to be the least squares method. It is also used in the regression analysis, in the statistical calculation it is an input key such as the sum of squares.
Now we will see line of best fit or least square method:
The lines of best fit are used to display the relationship between two variables:
We need to follow some steps for finding the line of best fit or in least square method, the steps are shown below:
Step 1: For finding the line of best fit first we find the mean of the ‘x’ values and the mean of ‘y’ values.
Step 2: Then after we put the sum of the squares of the x – values in expression.
Step 3: Then after putting the sum of the squares of the x – values we multiply it by its corresponding y – values.
Step 4: After that we find the slope of the line.
And the formula for finding the slope of the line is given as:

   m = ∑ UV – (∑U) (∑V)
                           n
          ∑U² – (∑U²)
                     N
Where, ‘n’ represents the total number of data points and ‘m’ is the slope of the line.
Step 5: Now put the y – intercept of the line with the help of formula:

        b = y’ – mx’;
where, the coordinates y’ and x’ both are the median of the x – and y – coordinates of the data points respectively.
Step 6: At last we use the slope and y – intercept and we get the equation of the line.
z score calculator is a mathematical tool which makes the calculation easy and fast, those who don’t know anything can also use it very easily it is also given in ICSE class 9 books and in the next session we will discuss about Dividing Integers.

algebra calculator online

Earlier we discussed multiplying polynomials worksheet and Angle Sum of a Triangle. In this post we will talk about Algebra calculator online. Algebra Calculator Online guides us to understand the concepts related to algebra in grade 4. It includes the introduction to the topic of algebra which makes the child aware of the use of algebra in day to day life.  It also helps us to learn the concepts of algebraic expressions and the meaning of the variables and the constants.
We are able to understand, how to express the statements in form of the mathematical algebraic expressions and which word will be represented by which expression. We also need to understand the use of different mathematical operators in the algebraic expressions. If we have a statement: five added to three times a number gives 10. Now here we have unknown number which is to be calculated using this expression. Let us say that the number is x. Now if we need to write three times of any number, it means 3 * x. Further, if we again look at the statement,  it says that 5 added to three times a number. So we are going to add ( + ) 5 to 3*x. Thus the expression will be written as follows:
 3x + 5 = 10,
In order to find the value of x, we will solve the given expression and we get:
3x = 10 – 5,
Or 3x = 5,
So we can get the value of x by dividing both sides of the equation by 3
So, x = 5 /3.
To find the Previous Year Question Papers For Accountancy Of Tamilnadu Board,  we can visit board.edurite.com. It will help us to understand the pattern of the question paper which has come in the consecutive years. For 4th grade math syllabus studnets can visit different educational portals.

multiplying polynomials worksheet

By the word polynomial, we mean an algebraic expression with two or more terms. We will not miss recalling here the definition of algebraic expression or in simpler words what an algebraic expression means. An algebraic expression is a relationship between the constants & variables bound together with the help of different mathematical operations. The expression is a group of terms related to each other by the operations of addition & subtraction, whereas the terms themselves are formed by the bond of multiplication & division of the constants & variables. By working out multiplying polynomial worksheet students can score high grades. Get more detail here.
To multiply the polynomials (also read Dividing Polynomials), there may be a binomial or a trinomial or even a polynomial on one side & one of these on the other side as well. You can also play multiplying polynomials worksheet online to improve your skills.
We must remember that while multiplying the polynomials, we keep one of the polynomials intact & of the other polynomial, each of the term; as many as may be ; is multiplied by the polynomial which is intact turn by turn. Then each multiplication relation is opened using the distributive property. Thereafter, the like terms are combined & finally the product is obtained.
Let us try to understand it with the help of an example here .
Let the two polynomials to be multiplied be ( 3x + 8y – 2 ) and ( x – 2y + 6 )
We can keep any of the two polynomials intact, let us take ( 3x + 8y – 2 )  multiply it by each of the terms of the other polynomial , i.e. , ( x – 2y + 6 ) . So , we get
                X * ( 3x + 8y – 2 ) +8y * ( 3x + 8y – 2 ) – 2 * ( 3x + 8y – 2 )
                =  3x>2 + 8xy -2x + 24xy + 64y>2 – 16y – 6x - 16y + 4
                = 3x>2 + 32xy - 8x + 64y>2 – 32y + 4

 In upcoming posts we will discuss about algebra calculator online and Area of a Triangle. Visit our website for information on chemistry syllabus for class 12 Maharashtra board

Solving by Substitution Method

Algebra 1 Help : In the algebra there are several system of equations that have the several variable so values of these variables are solved by Substitution method. When there are several equations in the system then these are solved using some predefined steps of substitution method to solve algebra linear equations that are as follows :
( a ) There are 1 variable for one equation as x ,y,z means if there are three variable given in an equation then there are also three equations to find the value of these variables .
( b ) For solving the missing variable substitute the expression into the other equation .
( c ) When find the value of a variable that find into the step (b) then put it into the first equation and find the answer .
( d ) Cross check the solution .
The above steps are using to find the values of the variable in the given example :
-p +q = 1
2 p+q = -2
step no ( a ) : Find one equation for one variable there are two variable p and q
-p+q = 1
-p+p+q = 1+p (add the +p for both side of equation to find the one variable )
q = 1+p or q = p+1 .
step no ( b ) : For solving the missing variable substitute the expression into the other equation as
2 p+q = -2
put the value of q by the step no ( a ) into this equation
2 p+(1+p) = -2
2 p+p+1 = -2
3 p+1 = -2
Solve the value of p by subtracting the 1 from both side of equation
3 p+1–1 = -2–1
3p = -3
Divide the both side of equation by 3
3p/3 = -3/3
p = -1
Step no ( c ) : Find the value of q by putting the value of p into one of the equation
q = p+1
q = -1+1
q = 0
step no ( d ) : Cross check the answer
put both the values into each equation
-p+q = 1 2p+q = -2
-(-1)+0 = 1 2(-1)+0 = -2
1 = 1 -2 = -2


In upcoming posts we will discuss about multiplying polynomials worksheet and Exterior Angle of a Triangle. Visit our website for information on Maharashtra higher secondary board syllabus