Variables and Expressions Examples

In the previous post we have discussed about Subtraction of Fractions Calculator and In today's session we are going to discuss about Variables and Expressions Examples. When we study about the Algebra, the basic units of algebra are the constants and the variables. The equations are basically formed by the combination of  Variables And Expressions. Different terms, which we observe are combined with the help of the mathematical operators + and -.
To study about Variables And Expressions Examples, let us look at the following statement:
If two times of any number is added to 4, the result is 16.
In order to solve the given statement, we start as follows. Let us consider the variable x as the unknown number. Now when we talk about the two times of the unknown number, it simply means that the variable x  is multiplied by the number 2.
Further  we have that a number 4 is added to it, so the two terms will be 2x and 4, which we will be adding by the operator +. Thus the equation so formed by the statement will be as follows :
2x + 4 = 16
 Here we have the expression 2x + 4, where the terms of the equation are 2x and 4.
The value of x will be calculated by  solving the given equation. Thus we will get :
2x + 4 = 16
We will take 4 to another side of the equation and it will change from + 4 to – 4. So we get the equation as :
2x = 16 – 4
Or 2x= 12
 Now we observe that the left side of the equation is 2 * x, so we will take 2 to another side of the equation  by replacing the  multiplication with the relation of division. Thus we get :
X = 12 / 2
Or we write  x = 6 is the solution for the given equation.

 There  are different Properties Of Real Numbers like closure property, associative property, Commutative Property, Identity Property etc.  Icse Sample Papers 2013 are also available online.

Subtraction of Fractions Calculator

In the previous post we have discussed about Square Root Property and In today's session we are going to discuss about Subtraction of Fractions Calculator. Generally when we talking about the calculator then first thing came in our mind is that it is a kind of device that usually performs arithmetical calculation on numbers. Normally a simple calculator can perform multiply, divide, add and subtract percent related calculation and so on. If we talking about more advance calculator then they can also perform exponent, root and log related calculation to solve real world problem. Here we are going held a discussion on the topic of Subtracting Fractions Calculator.

It is also a kind of calculator that can perform the subtraction between two fractional values. To understand the concept of fractional calculator we need to understand the concept of fractional numbers and arithmetical operation that is subtraction. Fractional values are kind of number that shows two integer value in the ration form that is in the form of numerator and denominator. Suppose m and n are two integers then they can be represented as m / n. Here we need to perform subtraction between these fractional values. Subtraction can be define as a basic arithmetical operation that perform the reduction In value from another value. Now we can describe the process of Subtracting Fractions Calculator.

I ) For performing subtraction between fractional value first we need to calculate HCF of denominator values of both fractional values.

II ) After that divide the Calculated HCF value by each denominator value individually.

III) After performing above given step multiply the each result with their numerator value.

IV ) In last perform the subtraction between the obtained value and if required then simplify them.

The above given steps can easily describes the functionality of Subtracting Fractions Calculator.

In chemistry the concept of Ribonucleic Acid can be describe as a biologically molecule which is made up of long chain of nucleotide units. The Indian certificate of secondary education board provides previous years sample papers which is known as icse 2013 question papers.

Square Root Property

In mathematics, we will solve the square using different method. Here we will see Square Root Property and also see how to solve square root. Square root can be defined as a number in mathematics that is the multiplication of that same no twice, as (s) could be the square root of (t) like :

[s2 = t]

[√t = s]

Square root is represented by the symbol √r and √ is said to be radical sign.

In order to solve square root we need to follow some of the steps which are mention below:

Step 1:- To solve square root first we have to divide the digit which has to be square root into pairs, from the decimal point.

Step 2:- Then we have to draw the line over the pair of the digits.

Step 3:- Then calculate largest number such that the square root is same to or less than the next term pair.

Step 4:- Then we have to set the number over left side and also above the next digit pair.

Step 5:- Now we have to square a number and then subtract that number from the next digit pair.

Step 6:- Then after spread the bracket present in left side and then multiply the last number by 2, than put that number on left of the difference we have just find and leave the empty decimal place next to it. (know more about Square Root, here)

Step 7:- Now put the next term down and right to the difference.

Step 8:- Now we have to calculate the largest number to fill the blank space such that the number is times the number already exists, and should be less then the current difference.

Step 9:- Now we have to subtract the number just found.

Step 10:- And then we have to repeat all steps untill we get the result.

Using these properties we can easily solve the square root.

Reverse Osmosis System can be ideal for such applications as spot performance. From icse books download we get more information about reverse osmosis system and In the next session we will discuss about 

Subtraction of Fractions Calculator. 

rational expressions applications

In the previous post we have discussed about Fibonacci Numbers and In today's session we are going to discuss about rational expressions applications. Rational expressions applications defines the uses of rational expressions in different area of mathematics. A rational expression is expressed as the ratio of polynomial equations as:
p > 2 + q / p – q > 2. These kind of expressions are known as relational expression. There are several formulas that having the rational expression and for solving it multiply both the side of equation with the LCD that is used for eliminate the denominators of the expression.
We can define it by a simple example as if there is an equation that express a line (-2 , 4) and have the slope 3 / 2 that is written by a rational expression (y – 4) / ( x + 2) = 3 / 2.
Now we cam solve it as (y – 4) / (x + 2) = 3 / 2
Multiply both the side of expression with the LCD (x + 2) as;
(x + 2) (y – 4) / (x + 2) = (x + 2) 3 / 2.
In this step solve all the calculations as y – 4 = 3 x / (2 + 3);
Now it will be more simplified as y = 3 x / (2 + 3 + 4)
Y = 3 x/ (2 + 7) , this expression gives a line equation for particular coordinates. (know more about Rational function, here)
There are numerous expression in mathematics as relation between rate, time and distance is also define by d / t = r where d is the distance, t is time taken to cover that distance and r describe the rate of speed.
Valence Electron Configuration is studied in atomic physics and quantum chemistry that define the configuration of electrons.
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Fibonacci Numbers

In the previous post we have discussed about Ratios and Proportions and In today's session we are going to discuss about Fibonacci Numbers. 

Fibonacci Numbers are describe as the sequencing of numbers that follow the linear recurrence rule. We can also explained it by a simple expression as if Xn is a function then according to the linear recurrence rule (Xn)  where value of n is from 1 to infinity.

This will be expressed as  Xn = x n-1 + x n -2 + x n-3 ….

In the above expression if the value of n is 1 or 2 then X1 = X2 = 1 and in case of X0 is is equal to one.

When we present the Fibonacci numbers for the values of n = 1 , 2 and so on then it will show as 1,1 ,2 ,3 ,5 , 8 ,13 , 21 ,34 …. So on.

We can define some of the problems that are defined by the Fibonacci numbers series as there is a problem stated as one male and one female those are born on first January and if all the months having the equal number of days then find the number of pairs that are produce after the birth of first pair in next two months and when a pair have the age of two months then it produce another pair and this pair also generate the another pair after two months and no pair dies.

So we have to find the number of pairs after the period of one year?

So these kind of problems are solved by Fibonacci numbers.

For solving the problems like Subtracting Fractions With Unlike Denominators, need to make the denominators of both the fractions same and for this we have to calculate the LCM that is stated as least common multiple and then we calculate the answer of the given problem. (know more about Fibonacci Numbers, here)

Cbse Board Papers are organized by the central board of secondary education (CBSE board) in month of march of every year for the students.

Ratios and Proportions

A ratio that is used to show the relation between two or more values. For example: if there are 12 pencils and 17 pens then we can write the ratio as: 12:17; In other word for every 12 pencils there are 17 pens. If any equation written in the form of P / Q = R / S, here both the ratios are equal are said to be proportion. For example (5 / 9) = (20 / 32). Let's see how find the Ratios and Proportions? Steps for ratio and proportions are shown below:
Step1: First we have two values for which we have to find the relation.
Step2: Then we find the relation in both the values.
Step3: Let we have two proportion sets, these two ratios are equal to each other. In one ratio, the quantities of two proportions do not fulfill, so we use cross multiplication and solve the equation and fulfill the quantities. There are different ways to find the ratios and proportions.
If 60 books for 32 students that can be represented in the ratio as 60:32. Now set the second ratio for another larger group of students, assume that the numbers of books move in the numerator and the numbers of students move in the denominator. Here we don’t know the total number of students. (know more about Ratios and Proportions, here)
Here assume the number of students be ‘U’. The total number of students is 42, and then the ratios of students are U / 42. Now we set these ratios according to the definition of ratio and proportion. So the ratio is:
=> (60 / 32)= U / 42,
Now find these ratios with the help of cross multiplication:
When we cross multiply these ratios we get:
⇒(60) (42) = (32) (U), Now solve these values for ‘U’.
⇒2520 = 32 U, here we find the value of ‘U’.
⇒32 U = 2520
⇒U = 2520 / 32
⇒U = 78.75;
After solving we get the value of U = 78.75;
There are 78.75 books for 42 students.

Surface Area of a Cylinder Formula is given as:
Surface area of cylinder = 2 * pi * r² + 2 * pi * r * h. We get new information about all grades syllabus in cbse syllabus 2013 and In the next session we will discuss about Fibonacci Numbers. 

  

Greatest Integer Function

In the previous post we have discussed about How to Deal with Ordered Pair Problems and In today's session we are going to discuss about Greatest Integer Function. 

Greatest Integer Function gives the highest integer number that is lies among the several numbers. We can also simplify the statement as ,it will give the highest number and all other number are lesser or equal to the given number. Sometimes we call the floor function of integer numbers. It will be expressed by a big bracket as[ ].

We can explain it is the process of finding number that have less than and equal value among the given number for a given integer value. So according to the definition of greatest integer function that is stated for the integer number will provide the number equal to the given number. When we find the greatest integer and when we find for any non integer number then in that case it will give only the integer part of that number and remove the decimal part. (know more about Greatest Integer Function, here)

We define it by some examples as, Find the greatest integer function of 7?

Solution: [7] = 7.

Explanation: As the given number is an integer number, hence the closest integer number to the left of the given number is the same number.

Find the greatest integer function of 4.7?

Solution: [4.7] = 4

Explanation: As the closest integer number to the left of the given number on the number line is 4.

 Find the greatest integer function of -3.4?

Solution: [-3.4] = -4,

Explanation: As the closest integer number to the left of the -3.4 is -4

According to Van Der Waals Equation, it states for composition of fluid that made by the particles that have a non zero volume and also for a pair wise inter particle force that is an attractive force .

Cbse Sample Papers 2013 provided by the central board of secondary education to the students for help them in preparation of examination.

How to Deal with Ordered Pair Problems

Ordered pair in mathematics can be considerd as a set of mathematical objects. Ordered pair is a part of graph concept that helps in plotting the points at certain pixel position. In mathematics, when we discuss about the ordered pair of graph then we can say that a pair of two values that are written inside a parenthesis. Generally, ordered pairs are written in a particular order like (x , y). Here x and y are considered as an objects of ordered pairs where x can be consider as a first entry and b as second entry of order pair. (want to Learn more about Ordered Pair, click here),

The value of ordered pair can be represented as pixel position on a graph where the value of x variable can be plotted on x-axis and value of y can be plotted on y-axis of the graph.

To understand the concept of ordered pairs or to solve the ordered pair problem we need to understand the property of order pair that are describe below:

Suppose we have two ordered pairs that is (x1,y1 ) and ( x2, y2 ).

By following the ordered pair definition we can say that the ordered pair (x1,y1) and (x2, y2).are equal to each other when the value of x1 = x2 and y1 = y2. on the other side of ordered pair  the collection of all  first entry of ordered pairs are considered in s[] and collection of second entries are considered in y[].

Then multiplications of entries of multiple ordered pairs are known as Cartesian product. Generally the concept of ordered pair deals with the real number that can easily be plotted on the graph and various calculation can be performed very easily and in simpler manner. In study of graph, sometime we have to face the question How to Make a Bar Graph. In board examination, cbse syllabus provide the complete syllabus to protect the student from any Inconvenience. 

Ratio

Sometimes ,comparison is needed among different things and for that purpose we have several kind of methods. In which ratio is one that is define the relationship among the given things. Ratio stated as the relationship between two or more than two values. As if in a bucket there are six mangoes and three oranges than the ratio is describe as 6 : 3 that is simplify as 2 : 1. It will be expressed as in the bucket ratio of mangoes and oranges, 2 is to 1.

If there are two numbers that are p and q then it is expressed as p : q then p is called as antecedent and q is stated as consequent. So a ratio depict as the relative size between two or more values. (Know more about Ratio in broad manner, here,)

Ratio have the same concept as fraction and we can show the ratio in the fraction form as p : q have the fraction form as p / q.

There is one other type of ratio that is known as the percentage ratio. It is achieved by dividing the number with the total value and multiplied it with 100 ,it gives percentage and we can put these percentage in the form of ratio . Ratio is represented as x % : Y% or x : y because x % is expressed as x / 100 and y % is y / 100 then their ratio is x / 100 : y / 100 and as we stated above ratio can be describe by the fraction as x / 100 / y / 100 that is equal to x / y that is also depict as x : y.

How to Make a Histogram helps the students to understand the different ways of making histogram and define it into simple way.

CBSE math Syllabus that is provided by the cbse board gives all the information to the students that is related with the theme of subject that help them to understand what kinds of topics will come into the respective class and In the next session we will discuss about How to Deal with Ordered Pair Problems

. 

Define Least Common Denominator

In the previous post we have discussed about What are Rational numbers

and In today's session we are going to discuss about Least Common Denominator,  We all generally deal with the addition and the subtraction of two or more fractions while studying the basic math and the primary step which we have to perform to carry out such types of the additions and the subtractions of the different fractions is to find out the least common denominator of the two or more number of the fractions. So in this article we will study about the least common denominator and we will also see the method to calculate it. The lowest common denominator is generally denoted by LCD in the context of the math.

So first let us start with the definition of the least common denominator. The lowest common denominator in the theory of the basic mathematics can be called as the common multiple which is the smallest, of two or more number of the denominators when considered for any of the set or the group of the fractions. We can also modulate our definition of the lowest common denominator in another way and say that it is the smallest of those types of the integers which are positive and which are denoting the different multiples of any number of the denominators of the fractions.

Now let us take some of the simple examples to understand the concept of the lowest common denominator more precisely. Suppose we have to calculate the lowest common denominator of the two fractions 7/9 and 4/13. So the maximum of the common factors of the 2 denominators 13 and 9 is 1 only. So after multiplying 13 and 9 we obtain 117 and then we divide it by 1 to obtain 117 as the lowest common denominator.

In order to get more help on the topics: Least Common Denominator, Interpolation Formula and maharashtra board syllabus, you can visit various Online educational portals.

What are Rational numbers

We have different types of number in mathematics and all of the plays a very significant role in many areas like science, physics, engineering, aeronautics and many more. They are natural numbers, whole numbers, real, rational, irrational, prime numbers, integers, complex numbers, etc.
But today we are going to discuss about a very important question: what are rational numbers, almost everybody uses this number, but do we know it?
So, the answer to the question: what are rational numbers, is, rational numbers are those numbers which can be written in the form of a fraction or a quotient like a/b, where a and b are the integers and b is not equal to zero.(want to Learn more about Rational numbers, click here),
The question: what are rational numbers, also shares one important point, which is: the decimal expansion of the rational numbers always either terminates itself after some finite sequence of digits or it repeats some finite sequence of digits again and again. For example: 1.33333…, 2.54, 1/10, etc.
There is another type of number which is totally opposite of what a rational number is, that number is an irrational number, which cannot be written in the form of a quotient or a simple fraction like a/b because the decimal expansion of an irrational number continues forever without repeating some finite sequence of digits over and again.
Rational numbers are of course dense in nature as we know that in between every two integers there exists many rational numbers.
But if you see according to Cantor’s proof, as we know that the real numbers cannot be counted or uncountable but rational number are countable and real number line is the mixture of rational numbers and irrational numbers, so they say that almost all the real numbers are irrational in nature.
In order to get help in the topics: what are rational numbers, area of a square formula and 2010 cbse board papers of political science, you can just visit various online educational sites and In the next session we will discuss about Define Least Common Denominator.
       

Comparing Fractions and Decimals

Let us first study about fractions and decimals. Fraction numbers are the numbers which can be expressed in the form of numerator / denominator. Also if we look at the decimal number, it is the combination of the whole number and its decimal part. In order to learn about comparing fractions and decimals, we will either convert the decimal to fraction and fraction to decimals. Let us write the two numbers one in the decimal form and the other in the fraction. So we say that if the numbers are 1.25 and 4 / 10. Let us first convert  1.25 in the  fraction by removing the decimal. So we will write 1.25 as 125 / 100. Now we take the fraction 4/10, it can be written as (4 * 10) / ( 10 * 10) =40 / 100
  Now we observe that the two fractions are with the same denominator. So we conclude that the smaller numerator represent the smaller fraction. SO here 125 > 40, thus we say that  1.25 > 4/10.  In case we have the fractions like ¾ to be compared by  3.25, we will write ¾ as ( 3 * 25 ) / ( 4 * 25 )
= 75 / 100
On another hand we have 3.25 as  325 / 100
 Thus we observe that the two numbers are now with the equal denominator. So we say that the smaller numerator represent the smaller number. Thus here 75 / 100  < 325 / 100
 So we can say ¾  < 3.25

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Converting Fractions to Decimals

In the previous post we have discussed about How to Convert Decimals to Fractions and In today's session we are going to discuss about Converting Fractions to Decimals. We know that the fractions are written in the form of numerator  / denominator. In case we have the denominator as the power of 10, we say that the fraction is a decimal fraction. On other hand we say that the fraction is a vulgar fraction. Let us learn about Converting Fractions to Decimals. We will first talk about the fractions which have the denominators as 10, 100, 1000, 10000 . . . . etc. Now we will check that how many zeroes appear in the denominator and then we will remove the denominator and place the decimal point at the same number of places as equal to the number of zeroes. So if we have 123 / 10, we will write it as 12.3 as the denominator has only 1 zero. On the other hand, if we have the fraction as 3546 /100, here the denominator has 2 zeroes, so it will be written as  34.56 , (know more about Fraction, here
 In a vulgar fraction, we will multiply the numerator and the denominator with the number such that the vulgar fraction changes into the decimal fraction. Let us take the fraction 3/5. Now we make the denominator 5 to the decimal number. For this we will multiply the numerator and the denominator by 2. Thus we get: ( 3 * 2) / ( 5 * 2)
= 6 / 10
 Now it has changed to the decimal fraction so it can be written as decimal number as  0.6 Ans

  We can make use of Inequality Calculator to learn more about the rules of inequality and how to solve the linear inequalities.  We can also down load cbse sample papers from the CBSE website to learn more about the  syllabus , sample of questions and take the guidance for the upcoming examinations.

How to Convert Decimals to Fractions

In the previous post we have discussed about How to Convert Fractions to Decimals and In today's session we are going to discuss about How to Convert Decimals to Fractions.  Today we will be learning how to convert decimals to fractions, but before converting we need to have good knowledge of fraction and decimal, if we talk about fraction, it contains two part numerator and denominator, the upper one is called as numerator and lower one is called as denominator.  If we have a number such as 2/5 then 2 is the numerator and 5 is the denominator. If we talk about decimal then things written in left of decimal are considered as whole numbers and the things written in right side considered as fraction. Now our task is to convert the decimal number to fraction, for that we need to follow some simple steps given below,
Step 1: take the decimal value and write it as it is, then count the number of digit right side to the decimal point.
Step2: if there are 2 digits then remove the decimal and divide the number by 100, if there are 3 digits then by 1000 and so on…
Step 3: after the above step the number will be in fractional form, we just need to simplify the fraction.
If we follow above three steps then we can convert any number to fraction.
If we have a number .45 and we have to convert it into fraction then we just need to divide it by hundred as there are only two digit after the decimal so our number will now look like 45/100, we can simplify it as 9/20, this is the required conversion, in this way we can convert decimal to fraction.
Uniform Distribution is used to calculate the mean of the population. cbse board sample papers for class 12 are from the best sample papers available in India, which also include mathematic topics like decimal conversion, fraction and uniform distribution.

How to Convert Fractions to Decimals

In the mathematics any number which is written in the form of ‘i/j’ is known as fraction.
As we know that the numerator and denominator is present in a fraction, and the upper number of a given fraction is known as numerator and the lower part of a fraction is known as denominator. If in any fraction the numerator value always greater than the denominator value, these types of fractions is known as improper fraction and the fraction which has numerator value smaller than the denominator value; this type of fraction is known as proper fraction
For example:     15 and 8
                         60       24
Now we see how to convert fractions to decimals.
We will see some of the steps for converting the fraction to decimal number so that we can easily converted the value:
Step1: For converting the fraction value to the decimal value first we take any fraction number.
Step2: If we have improper fraction, then the numerator value greater than denominator value.
Step3: If we divide the numerator value by the denominator value then we get the decimal number.
Suppose we have any mixed number 75/20.
For convert the fraction numbers to decimal number we have to follow all the above following steps:
Step1: First write the fraction number:
        75/20,
Now we see that the given number is in the improper from:
= 75,
    20 
Now we divide the denominator value by the numerator value.
On dividing 75 by 20 we get
⇨75 = 3.75.
   20  
 After solving this value we get a decimal value 3.75;
Suppose the decimal number is 8.50, convert it into fractions:
The decimal number is:
8.50 we assume 1 in the denominator so that we easily find its fractional value.
= 8.50,
     1
So avoid the point by putting zero in the denominator part of the given fraction.
= 850,
   100
So the number is in fraction form.
Let we have quadratic equation and we put the equation in quadratic equation calculator then we can easily get the answer within a second and if you want more about quadratic then follow the Maharashtra state education board.

how to multiply fractions

In the previous section we have discussed about how to add fractions and In today's session we are going to discuss about how to multiply fractions, All mathematical operators can be performed on the fraction numbers. We will learn about how to multiply fractions. For multiplying the fraction numbers, we say that in order to multiply the fraction numbers, we say that a fraction number is expressed in the form of a / b, then we say that the if we have two fraction numbers, say a1/b1 and a2/b2, then we say that the product of two fraction numbers can be calculated in the form, such that the numerators of both the fraction numbers are multiplied and the denominators of both the fractions are subtracted. So we get the fraction such that the result appears as follows:
    ( a1 * a2 ) / ( b1 * b2 )
 Now let us look at the following example: If we have two fractions such that a1/b1 = 2/5 and a2 / b2 = 10/15. Then we say that the product of the two numbers is ( a1/b1 ) * ( a2/b2 ) and its result will be :
( a1/b1 ) * ( a2/b2 ) = ( 2/5 ) * ( 10 / 15 )
 = ( 2 * 10 ) / ( 5 * 15 )
= 20 / 75
 Now we will divide both the numerators and the denominators by 5 and we get :
= ( 20 ÷ 5 ) / ( 75 ÷ 5 )
= 4 / 15
 So we observe that the product of the two numbers  2/5 and 10 /15  is  4 / 15.
  The product of the fractions is converted into their lowest form to get the result of multiplication in the standard form.

  To learn about the algebra 1, we can clear our problems related to its online. We can also get the cbse class 11 syllabus online which can guide us to learn about the different contents of the syllabus.

how to add fractions

Adding fractions is very easy. Before learning how to add fractions, we need to revise like & unlike fractions. We will quickly recall here that that a fraction has two parts, a numerator & a denominator. The fractions with same denominators are called like fractions; while the fractions with different denominators are called unlike fractions.

Now, when we have to add fractions, we must always remember that the fractions can be added or even subtracted; only when they are likewise., they have same denominators. If in any case, the denominators are different, we first make them same.

We can convert unlike fractions into like or in simple words, make the denominators of fractions same by finding the LCM of the denominators of the fractions to be added & then getting the equivalent fractions with such denominator, as is the LCM. Then, we continue addition of fractions by adding only the numerators of the addendent fractions. It is worth mentioning here that the denominators of the fractions are not added, rather it is written only once after being the LCM of denominators. It is always advisable to change the answer fraction to its mixed form; in case it is in improper fraction.

We will see some examples here.

To add 2/7 & 3/5 , we observe that the fractions are unlike. So, we will find the LCM of the denominators, 7 & 5 which is 35. Now, we will change the addendents to their equivalent forms with denominator 35 & we get, 2/7=(2*5)/(7*5)=10/35.

 Also, 3/5=(3*7)/(5*7)=21/35

Now, adding these two fractions, we get 2/7+3/5=10/35+21/35 =(10+21)/35=31/35

In another example, 7/5+3/6+8/15. Here, the LCM of 5,6,15 is 30.

So, the fractions will be written as:

7/5=(7*6)/(5*6) =42/30

3/6=(3*5)/(6*5)=15/30

8/15=(8*2)/(15*2)=16/30

Adding these, we get 7/5+3/6+8/15 = (42+15+16)/30 = 73/30.

Since 73/30 is improper fraction, we’ll convert it to mixed fraction & the final sum of the given fractions is 2 13/30.

You can get Homework help & also class 8 cbse syllabus online and In the next session we will discuss about how to multiply fractions.

adding and subtracting integers worksheets

In previous blog we talked about adding decimal calculator, in this post we will focus on adding and subtracting integers worksheets. While studying about the Adding and Subtracting Integers Worksheets, we simply need to understand the concept of Adding and Subtracting Integers, which is quite different from the addition and subtraction of the two numbers.
If we have two integers, whom we need to add or subtract, we need to first check, if the two integers are positive integers or the negative integers. There exist the series of rules for the addition and the subtraction of the integers. Let us first look at the addition of the two integers:
1.      If the two integers are positive, then the simple addition will be performed, and the result is a positive number. Eg : + 3 + 4 = + 7
2.      In case the two integers are to be added and the two numbers are negative numbers, then we will perform the addition of the two digits and the result will be a negative number.  – 2 + ( -4 ) = -6
3.      In case we are adding one positive and one negative number, then we will find the difference of the two digits and the sign of the larger number will be the sign of the resultant number.  +4 + ( -2 ) = +2 and   -4 + ( +2 ) = -2
Now if we subtract the two digits, which are integers, then simply we need to change the sign of the number to be subtracted and then it becomes the simple sum of addition and all the rules prevailing for addition will be applied on it. So if the problem is subtract  4 from -3, it is written as
-3 -4 and the result is  = -7 Ans.
  Visit Online tutoring portals to learn Area under Curve. Also to know more about School Of Secondary Education Board Andhra Pradesh, visit different sites related to it.

adding decimal calculator

We know that a decimal number is a number with a decimal or a point. This decimal divides the decimal number into two parts , a decimal part & a whole part . While the whole part shows the things in complete , the decimal part shows the same as a part of the whole. Now that we know decimals are numbers & also that we can do any mathematical operation on numbers; so we can add , subtract , multiply or even divide decimal numbers as well .
Let us learn how to add decimal numbers or what is adding decimal calculator.
While learning to add simple numbers, we learnt that each digit of a number has its place & for adding different numbers , the digits of all the addendents must be written at their proper places ; one under the other .
Similarly, we have to do while adding the decimal numbers. In decimal numbers also, each digit has an assigned place & the digits of each number representing a particular place must be written one under the other vertically. By this, we mean that to add decimal numbers, the digits at tens place of each number should be written vertically one under the other & those at ones place & similarly at tenth, at hundredth place & so on for all the places. This would finally result in the decimal of each of the decimal numbers being written in a line, one under the other.
Example : 234.67 + 32.098 + 1875.9 + 5.65
We will write these decimal numbers vertically taking care of the places as follows:
   234.67
     32.098
1875.9
 +    5.650
 2148.318
Thus, the sum is 2148.318

Next blog will be focused on adding and subtracting integers worksheets, algebra problem solver & even Tamilnadu Board Sociology Sample Paper online.

Steps in problem solving

There are several problems that are faced by us in day today life .These steps to problem solving helps the student of grade V to understand the problem in very efficient manner . These problems are look very complex initially so there are basically some Standard Form Steps to problem solving in math that are as follows:
Step no (1): Problem understanding - First states the problem in your own words then find the main problem or thing you want to solve .
Then find the all unknown variable into the given problem and check the other information ypu need to find the solution for main problem.
Step no (2): Make a plan to solve the problem – There are some steps or strategies that helps in making a plan :
First of all check the pattern of the problem then research for the other problems that are solved before having the same pattern .After getting the all results then make the tables and diagram according to the given problem and at last make the suitable expression for the problem that have the same pattern as before solved problems
Step no (3) : act according to the plan – After making a useful plan implement according to the plan means perform the necessary actions and computations that are helping us in solving problem .when getting the answer check them that these are according to the expected answer or not and if these are not according to them then apply other plan for problem solving .Maintain the record for each and every calculations .
Step no (4) : Back track :Check the Result by putting in the original problem and find another method to cross check the answer and also find the other related problem that are in more general form by solve with the existing technique or method .


In upcoming posts we will discuss about adding decimal calculator. Visit our website for information on CBSE class 12 chemistry previous years question papers

Tools to solve problems

Hi friends, In today's math tutor session, we will discuss about Tools to solve problems. Problem solving is a key skill And it is one which make a great difference in our career and now problems are at the center of many people. The problems you may be face large or small, easy or complicated to solve. A main part of every manager is to solve problems. Confidence comes from having a good problem with very quickly and effectively and gets sometimes painful consequence.
There are four basic steps in problem solving are as follow for the Grade V of Andhra Pradesh state board:
1.    Defining the problem
2.    Generating alternatives
3.    Evaluating and selecting alternatives
4.    implementing solution
Problem solving is a mental process consists of larger problem process which includes problem finding and problem shaping.
Problem is defined as a state of desire for the reaching of definite goal.
Problem solving has two major factor: mathematical problem solving and personal problem solving.
Tools to solve problems are beneficial as
It is helpful to quickly determine the root cause of a problem.
It is simple and easy to learn and apply.
We have to use the tool solving problem in five ways technique.
Problem solving such as root cause analysis and cause and effect analysis.
Problem solving tools techniques is a course to provide participants with an understanding of basic problem solving tools and used to find root cause.
A problem solving toolbox and the knowledge is necessary to use the tools for the root cause analysis and improvement of process in their own organization. Problem solving process is four step are
Simplex which involves eight stage process that is problem finding, fact finding, defining the problem, idea finding, selecting and evaluating, planning, selling the idea.
Appreciating Inquiry is a unique positive approach by helping you to solve problems.
Soft system methodology is helping you to understand complex problems.


In next post we will talk on Steps in problem solving. For more information on factoring trinomials, you can visit our website

Tools to record observations

Hi friends, In today's Math Problem Solver session we will discuss about Tools to record observations. When we do some experiments and get some observations from those experiments are recorded, these observations are used in further experiments and also in the same experiment to evaluate the results. These tools are helpful for students of grade V of Andhra Pradesh board in mathematical problems solving. There are many tools to record observations which are useful to provide the previous result when needed, rules for recording the observations are as follows:
Peel off notes: In this record structure observations are recorded in the form of labels and these records have the date – time stamp and whenever there is any need for any observation it will be easily extracted from the notes.
Clip board chart: In this type of recording tool there is a sheet that is partitioned for each group of experiment and for every single experiment all the related observations are write into the corresponding section. At the end of the time that would be a week or month all the observations are placed into the permanent individual card that are specific to each experiment.
Sticky notes: This is very similar to the peel off notes but difference is that after completion of time it will be replaced by the new sticky notes.
Binder notes: In this type of record structure for every experiment there is three or more ring binder and all the observations are placed into the sheets that is related with the experiment and in this there is no need to put the record in different sheets but put them only one time with their time and date stamp .
Computer files : In this record structure first of all in computer maintain the different files for each experiment and transfer each observation directly from the book into the computer file .

In upcoming posts we will discuss about Tools to solve problems. Visit our website for information on Z Score Table

Problem solving strategies

Problem solving strategies are defined as steps to solve the problem or define the way of problem solving. In Problem solving strategies we discuss the process of solving the large problems that have steps, we first break the large problem into some small solvable problems and if the problem is complex then subdivided each part of problem into less complex solvable part.
Define all the variables that are given into the problem as well as all the functions (also play functions and relations worksheet) that are defined into the problem and modulate that part or functions according to the need.
This problem solving strategies helps the students of grade V of AP state intermediate board to understand the way that how a complex problem is solved using different type of strategies.
If we talk about the word problem solving strategies then it will be describe as:
(1) First of all write the problem in your own words that helps to understand the problem in more effective way and consider all the variables and the functions that are applied on these variables.
(2) After the step mentioned above we draw appropriate diagram according to the given problem and finds the answer based on the diagram.
(3) Make the record or list for all the calculation that is done to solve the problem and calculate the answer is other strategy to solve the problem
(4) Another strategy is Predict the answer of the given problem and When get the answer according to the calculation then check it with the predict answer.
(5) Divide and conquer the problem means first divide the problem into small parts and then solve these parts and again combine them to get the answer.
(6) Other strategy is to find the problems that have the same pattern and solved before then follow the pattern to solve the problem.

In next post we will talk on Tools to record observations. For more information on Geometric Mean, you can visit our website

Mathematical Reasoning

Mathematical reasoning definition is describe as solve the problem without knowing that what is to be done and when you know how to solve math problems then it is not consider as mathematical reasoning .
Mathematical reasoning are containing the problems that are not in routine and they are not solved by using any procedure these problems are solved by making own strategies and these are not based on the single strategy but based on the variety of strategies.
It should be noted then these are not follow any procedure if you stuck any where then you need to do something to solve the problem occur at that time.
There are some mathematical reasoning examples that helps the student of grade V to understand the way how to solve the problems of mathematical reasoning are as follows:
Example (1): Write the numbers that have 11 tens, 8 ones and 2 hundreds?
Example (2) :If Jon have 23 chocolates and he put equal number of chocolates in two bags and after putting seven chocolates are left then how many chocolates he put into each bag ?
These problems are needed only of little bit attention to solve. These problems are considered as mathematical reasoning problems.
These types of problems are helping the students to make their mathematical concept strong as well as math homework help the student to save their extra time that is spend in problem solving as for example If we want to multiple the number 36 * 17 then it will solved in more easy way as add 4 to 36 that is equal to 40 (36 + 4) and add 3 in 17 to make it 20 as (17 + 3) and multiply them that is much easier then multiply 36 * 17 and answer for multiplication 40 * 20 = 800 and subtract 4 and 3 means 7 from 800 that is 793 that is the actual answer for 36 * 17 .

In upcoming posts we will discuss about Problem solving strategies. Visit our website for information on CBSE class 12 chemistry previous years question papers

Mathematics in daily life

Free Math Help : Math has some specific definition according to that definition it is a science that helps in structuring, ordering and relating the things with each other.
In other words it helps people in counting, describing and measuring the things that have very much importance in our life. So use of mathematics in daily life is very vital that helps us in counting the things. Can you imagine your life without measuring or counting the things or other materials, no we never expect our life without use mathematics our daily life so there are many things in our life that can never be assumed without math so we take some of very interesting examples that help students of grade V of Andhra Pradesh board to understand the use of math.
When life starts we count the number of days after birth of a child, and then count number of months and then count number of years, so without math it is not possible. There are many examples in our life like traveling to some place or money management or playing any game like playing football or making any recipe by measuring the weight of ingredients or making new friends or increase the number of employee in the organization or finding the distance between two places that unintentionally use the math in calculation .
Math is universal means it starts when the human being is born, it was invented by the human being for day to day calculations and it is not related with a specific region it is for all and also same for all .It helps us in taking the decisions and other important work that belong to our daily routine life.

In next post we will talk on Mathematical Reasoning. For more information on Factoring Polynomials, you can visit our website

Possible outcomes and making predictions

Hi Friends, In today's tutoring session we will focus on Possible outcomes and making predictions. Possible Outcome of an event or making predictions in any event are relatively similar terms, as in both the cases one has to look at the likelihood or relative frequency for something to happen, Predicting what will happen is a valuable real thinking skill of any person which helps him get closer to the possibility of an event.
While concluding about the possible outcomes one must also take care about how he/she is making predictions in them and this ways the objective of getting closer to the reality of the event can be achieved, generally these type of problems are practiced with grade V students.
Now, let us take few examples with which we can be closer to the in predicting the Probability of Occurrence of an Event.
1. If an individual has a choice of picking 3 Shirts, 5 Jeans and 4 Shoes, predict how many different outfits one can be in (assuming nothing can be picked more than once).
In such case we can see that the possible number will be= 3*5*4.
2. If a day, has to be chosen from the month of September ( 30 days ) having 3 in the date, what is the possibility of that day to occur ?, this can be easily seen that possibility is 4/ 30 ( 3, 13, 23 and 30 ).
Have you ever thought that in your day to day life you come across so many things which run on the principle of prediction, for instance say weather forecast, Stock markets, the environment etc.? The generation and analysis of data is becoming extremely prevalent in today’s world, where data is generated at the occurring of every event and thus making it extremely important to use this data properly to do, the proper prediction of any particular event.

In upcoming posts we will discuss about Mathematics in daily life. Visit our website for information on 12th biology syllabus Maharashtra board

Mean and median in Maths

Hello friends today we are going to learn some topics of Statistics included in Grade V of Karnataka state board. To understand about statistics we have to learn about two important terms which are Mean and median. Mean, Median the two kinds of most common averages and are used very commonly in Statistics.
Definition of Mean: Mean means average where addition of all numbers is done and then we divide it by total amount of the numbers .
Example1:
Find the Mean: 13, 52, 2, 13
sum is: 80
Divide 80 by 4: 20
'Mean'  = 20
Definition of Median: It is the middle value from the list of the numbers arranged in the numerical order. After arranging list into increasing order we have to check the numbers of the list, if it is odd the median is the middle number in the list .If Total of list is even then median is equal to sum of the middle two numbers divided by two
Examples for calculating Median
Example 1:8, 2, 43, 16, 14 (Odd Numbers)
Line up numbers in increasing Order: 2, 8, 14, 16, 43
Median : 14 (The number in the middle)
Example 2:
Find  Median : 8, 2, 43, 16, 14, 6 (Even amount of numbers)
Line up : 2,6,8,14,16,43(Increasing Order)
Add the 2 middle numbers and divide by 2:- 14, 8=(14+8)/2=22/2=11
The Median is 11.
Solved Problem:
Find the mean, median of the following numbers:
12, 17, 12, 13, 12, 15, 13, 20, 14
Mean =(12 + 17 + 12 + 13 + 12 + 15 + 13 + 20 + 14) ÷ 9 = 14.2
Median=12, 12, 12, 13, 13, 14, 15, 17, 20 = 13
Hope you understood about Mean and Median with the help of Explained Examples.

In next post we will talk on Possible outcomes and making predictions. For more information on Poisson Distribution, you can visit our website

grade V

Elapsed time is the time between the start time and end time. Elapsed time in 10am to 2pm is 4 hours as the time present in between the start time 10 am and end time 2pm is 4 hours. Elapsed time is calculated by counting the number of hours within the start time and end time. While calculating the elapsed time it is always important to notice the time unit whether it is morning (am) or evening (pm).AM means anti- meridiem and PM means post-meridiem which is nothing but 12:00 A.M. and 12:00 P.M. respectively.
A.M is the part of the day that starts immediately after mid night which is morning and P.M is the part of the day that starts immediately after mid day and that is afternoon. A.M. and P.M. are generally used in twelve hour clock, in order to avoid confusion many use a 24 hour clock in which 1 P.M is referred to as 13^th hour and so on till the 24^th hour of the day. Here are a few examples to show elapsed time clearly:

S.NO	START TIME	END TIME	ELAPSED TIME
1	06.00 PM	8.30 PM	2 HOURS 30 MINUTES
2	04.00 AM	10.30 AM	6 HOURS 30 MINUTES
3	03.00 PM	12.00 AM	9 HOURS

Temperature is a property through which heat is measured. A body is said to be at low temperature if it is cold. It is measured in degrees Celsius and Fahrenheit’s body is said to be at a high temperature if it is hot. Heat always flows from a hot body to a cold body. When a hot metal is placed in cold water the heat from the hot metal flows into the water and the water becomes hot and the metal becomes cold after some time this is because of flow of heat from the metal to the water which is nothing but transfer of energy. As heat is a form of energy it flows from a hot body to a cold body (also read Newtons law of cooling formula). The concept of temperature is used very often in our daily life. We measure the weather condition through degrees of temperature and also temperature of our body is again an important concept which we see in a daily life. The normal temperature of human body is considered to 98.6 degrees Celsius, if the temperature is above or even 100 degrees Celsius then it means that the person is suffering from fever and high temperature occurs only when someone suffers any diseased condition. Water forms ice when it is at zero degrees Celsius, when ice is heated (which means that the temperature of ice is increased) then, it forms water. Fahrenheit and Celsius are the scales used to measure temperature. Heat is an energy that transfers itself from one body to another. It is a form of kinetic energy in an object or a substance. Even though temperature and heat are almost the same they are not the same .the difference between temperature and heat is temperature is form of internal energy that is present in a system while heat is form of energy that is transferred from one body to another. Heat flows but temperature does not flow it remains in the same body. Temperature is measured using a thermometer or a calorimeter. The Kelvin scale is a scale used to measure temperature in physics. When it is adjusted to zero degrees Kelvin then is called as absolute zero in physics. Math Problems based on conversion of one unit of temperature to another are given in physics and chemistry. K = °C +273 this is the formula used for kelvin.98.6 °F = 37.0°C = 310 K where F is Fahrenheit’s is Celsius or centigrade and K is Kelvin.

In upcoming posts we will discuss about Mean and median in Maths. Visit our website for information on 12th biology syllabus Maharashtra board

Math Blog on Probability and Statistics

Hello students, As a Tutor, I am going to discuss about Probability and Statistics. In mathematics, an average of a statistical data is value representation of entire data. Statistics deals with the collection, presentation, analysis and interpretation of numerical data. In other sense, statistics means data, the word data means information or set of given set in numerical figures in which we study mean, median and mode that are calculated on the set of data.
Some limitation of statistics
1.      Statistics deals with group and does not deal with individuals.
2.      Statistical laws are not precise. They are accurate on average only.
Now, we will discuss about Probability. Probability shows the uncertainty of occurrence of an event. Probability is used in many fields like :- commerce, science, whether forecasting etc.
Rule for probability: in mathematically, we have
Probability of an event A i.e. P(A) =a/b
Where a =number of favorable to the occurrence of A
b = total number of possible sample and
a-b = number of unfavorable to the occurrence of A.
We also notice that
P(A) =P( inverse of A) =(a/b)+(a-b)/a = 1 i.e. P(A) +P(not A) =1
Now, we take some examples for solving problem on probability.
Example 1:- a die is thrown once. Describe the sample space (s).1, 2, 3, 4, 5, 6
1.      What is the probability that the number ‘1’ turns up?
2.      What is the probability an odd number turns up?

Solution (1) :- the sample space : 1,2,3,4,5, 6
Since there are 6 equal parts likely number of probability of getting 1 is:
P(1) = number of events/total number of samples =1/6
Solution (2) :- let A=(an odd number) =1,3,5 so x(A) = 3
Probability of getting odd numbers= x(A)/x(s) =3/6 =1/6
                                                                                                 

In next post we will talk on grade V. For more information on biology syllabus for class 10 ICSE, you can visit our website

grade V

In this section we all are going to discuss about geometry help and lines of symmetry which are usually studied in grade V. Here I am going to tell you the best way of understanding these topics.Now let us start with basics about geometry:
Geometry is on the whole about the points, lines, angles, areas, volumes etc. And to learn it we should keep some points in our mind. A point is represented as a dot in a plane, a line is described as the collection of points, a line does not have any end point, a line segment is a part of line that has two end points, a ray is defined as a line which starts from a point and extends in a direction forever, when two rays start from same point then they form an angle between them, plane can be defined as a flat surface that extends forever. Triangle, circle, quadrilateral, polygons etc. are the examples of geometrical shapes.
Now let us talk in detail about Lines of symmetry. When an image or a figure is folded from the middle and if the half part is completely symmetric to the other half part or in other words one half part is mirror image of the other part then that figure or image is said to be symmetric. And when you unfold that figure or image you will see a line of crease, that line is known as line of symmetry. Let’s see lines of symmetry of some shapes.
Lines of symmetry of triangles:
In a triangle we can have 3, 1 or 0 number of lines of symmetry.
                          
Equilateral triangle ( having all sides and angles equal )
It has 3 lines of symmetry.
                     
Isosceles triangle ( having two sides and angles equal )
It has 1 line of symmetry
                
Scalene triangle ( having no sides and angles equal )
It has no lines of symmetry

Lines of symmetry of quadrilaterals:
There are many types of quadrilaterals

                 
Square ( having all sides and angles equal and also all angles are 90 degrees )
It has 4 lines of symmetry.
         
             
Rectangle ( having opposite sides equal and all angles are 90 degrees )
It has 2 lines of symmetry.

            
Irregular Quadrilateral
It has no lines of symmetry

                  
Kite
It has 1 line of symmetry.

                     
Rhombus ( having all sides equal in length )
It has 2 lines of symmetry.

Lines of symmetry of regular polygons:
In a regular polygon we have all sides and angles equal to each other.

                                       
Regular Pentagon ( having 5 sides )
It has 5 lines of symmetry

                 
Regular Hexagon ( having 6 sides )
It has 6 lines of symmetry

               
Regular Heptagon ( having 7 sides )
It has 7 lines of symmetry

                  
Regular Octagon ( having 8 sides )
It has 8 lines of symmetry

Lines of symmetry of circles:
A circle has infinite number of lines of symmetry and the lines of symmetry must be go through the radius of circle.

              

In upcoming posts we will discuss about Probability and Statistics. Visit our website for information on syllabus of economics for ICSE class 12