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