roman numeral calculator

Roman numerals are kind of writing a number in numeric system. Roman numerals were introduced by the ancient roman mathematician. They use a various alphabetic combination to representing any number value by using Latin alphabet. Students who are belongs to initial grades are very well aware from the concept of roman numerals. In the below we show you some of the example that representing value of one to ten in the roman numerals forms. Let’s see below:

Like 1 = I, 2 = II, 3 = III, 4 = IV, 5 = V, 6 = VI, 7 = VII, 8 = VIII, 9 = IX, 10 = X

In the above mention roman number pattern helps students to more deeply understanding the concept of Roman numerals. In the section discussion begins from the topic of roman numeral calculator. Before understanding the concept of roman numerals calculator we need to understand the some of the basic symbols that popularly used for performing various operations with roman numerals. Let’s see below:

'(V)' Here this symbol contains a value equal to 5, In same aspect symbol X equal to 10. Like other variables are L = 50, C = 100, D = 500, M = 1000. The above given symbols are most basic roman numerals that helps in performing mathematical calculation. Roman numeral calculator is the calculator that performs the fundamental operation like addition, subtraction, increment, decrement, multiplication, division and so on. They can also able to convert the Arabian numerals into roman numerals. (know more about roman numeral , here)

The basic theme behind using roman numeral calculator is that user can perform their mathematical operations very easily. The roman numbers should be placed from left hand to right hand order.

The Specific Heat Formula is used for calculating amount of heat per unit of mass to increase the temperature of material. To show the excellent performance in cbse board examination, various website provide free download cbse books for students.

Roman Numbers

In the previous post we have discussed about multiplication of whole numbers
 and In today's session we are going to discuss about Roman Numbers. Roman numbers are number representation system which uses a combination of letters to represent any numerical value. Roman numbers are the numbers which discovered from the ancient roman period. Roman numbers are the combination of Latin alphabets which is popularly used for to signify the values. Roman numerals are special kind of number representing system which has an additive system of letter popularly used for base value numbers. Roman numbers or values are not directly positioned and they do not have any symbol for  representing a value of zero. (know more about Roman Numbers, here)

In the below we show some of the symbol that help us in forming other roman values:

Symbol => I    V    X    L       C          D      M

 Value    =>1    5    10   50    100    500  1000

The roman numbers can be formed by adding symbol together that will generate a new value. Now we show some of basic combination of roman numbers from one to ten that are given below:

Number =>            1    2    3    4    5    6    7    8      9   10  

Roman no. =>        I    II   III    IV   V   VI  VII  VIII  IX    X

Now we show some of pattern that helps you in understanding the concept of Roman Numbers:

Suppose we want to represent a number 40 in the form Roman numeral now we need to process this thing step by step. Let’s show you below:

 As given that value of 50 = L

Then we need required 40 then = 50 – 10 = 40

It means that                                 = L – X = XL

In the same aspect we want to represent value of 60 then

As given that value of 50 = L

Then we need required 60 then = 50 + 10 = 60

It means that                                 =  L + X = LX

In mathematics, the Surface Area of Rectangular Prism can be describe by using the concept of rectangle that are given below:

 2 * Length * Width  + 2 * (Length + Width )* Height

For 10th board examination, cbse board provides cbse class 10 sample papers for exam preparation.

multiplication of whole numbers

In the previous post we have discussed about display and In today's session we are going to discuss about multiplication of whole numbers. Whole number can be defined as all the number greater than equal to zero. In the whole number fraction number and negative number are not involved. For example: 0, 10, 21, 30, 45, 500, 61, 704, 8025, 901254 and so on are all are included in whole number. And also decimal numbers are not included in case of whole number. Now we will see how to perform multiplication of whole numbers. We need to follow some steps to the multiplication of whole number. The steps are shown below:
Step 1: To the multiplication of whole number first of all we have to take two or more than two values.
Step 2: Then multiply one term to the whole value of the other term.
Step 3: Apply these procedure till the last value.
Step 4: And if we have three values then first we have to multiply two values than the result we get is multiplied by the next value to get the required result. (know more about Whole number, here)
Step5: If we apply the above procedure carefully then we get the result.
Suppose we have two values 150 and 20, then we have to multiply both the values.
Solution: To perform the multiplication over the given values first clear that the given values are whole number or not. So here the given numbers are 150 and 20. According to the definition of whole number the given number follow the property of whole number. Now write the number in the multiplication form:
⇨ 150 * 20, if we multiply the number 0 to the next whole digit then we get 0, so we can write it as:
150
  20
000,
Then we apply same procedure to the next digit. On multiplying we get:
150
  20
  000,
300 X
3000
So, the multiplication of two numbers we get is 3000. This is how we can perform multiplication over the whole number. Now we will see the Vertex of a Parabola, as we know that no vertices are present in a parabola because it has curve shape. To get more information about these then prefer online tutorial of icse syllabus for class 8.

display

When we observe that many collinear points are joined together to form a line, this line goes endlessly in both the directions and has no fixed endpoints. So we say that the line extends endlessly in both the directions and so it does not have any fixed length. We say that the pair of lines, when intersect each other, so that they  meet each other at only one point, then we say that the two lines are intersecting Also we  say the meeting point of these two intersecting lines as the point of intersection.
Now we will learn what is a Perpendicular Line?
 If we have a pair of intersecting lines such that the angles so formed at the point of intersection of the two lines is 90 degrees then we say that the pair of lines are Perpendicular Lines
If we look at the + sign, it shows that the two lines are perpendicular. The English alphabets: L, T, H F and E are formed by joining two or more perpendicular lines.
Also we know that if the two angles which are supplementary to each other are joined as the adjacent angles, then the pair of such angles, formed the  pair of perpendicular lines  by their uncommon arms.
In on a straight line a perpendicular line is drawn, we say that two angles of 90 degrees is formed. So we say that a perpendicular line drawn on the straight line divides the line into two equal angles of 90 degrees each.
Also if we look around us in our daily life examples, we say that the edge of the wall, edge of the table and many such objects forms a pair of perpendicular lines.

 In Order To Get Help on How to Find the Slope of a Line, How to Find Slope of a Line visit Tutorvista.com

Learn Whole Number

In the previous post we have discussed about Adding and Subtracting Integers and In today's session we are going to discuss about Whole Number,  By Whole Number, we mean the numbers which start from 0 and the series goes on increasing by adding 1 to the number. This series goes endlessly up to infinite. Thus we conclude that the series of the whole numbers include the numbers 0, 1, 2, 3, 4, . . . .  up to infinite. Here we observe that every number has the successor in the series of the whole numbers and every number has the predecessor except the number 0. As 0 is the smallest number in this series. 
Let us now check how the series of the natural numbers differ from the series of the whole numbers. The ordinary answer we have is that the series of the natural numbers start with the number 1 and the series of the whole numbers start with the number zero. But we could observe the main difference between the two series of the numbers which is as follows :
The natural numbers are the counting numbers, it means we use the series of the natural numbers when we need to do the counting of any objects, persons etc.  But the whole numbers are used with the vector units, it means that  when ever we need to measure certain units such as  length, weight, temperature, speed etc, these measuring units can not be started with 1.  So  we use whole numbers in such cases. We conclude by saying that the whole numbers are the measuring numbers.
To understand about the polynomial factoring calculator, and to practice more about the related topic we can take the online help of math tutor and the online worksheets available on different tutorials of math. We  also have cbse books available online  for different grades to understand more about the  contents and the topics covered in different grades.

Adding and Subtracting Integers

In the previous post we have discussed about List Prime Numbers and In today's session we are going to discuss about Adding and Subtracting Integers, Set of positive and negative numbers is known as integers except fraction and decimal numbers. For example: -3, -2, -5, -6, 0, 2, 8, 10, 12, 17, 20 and so on.

In the above examples all the numbers are in integer form. The number 0 is also an integer number. There are two types of integer which are positive and negative integer. All the numbers which are greater than zero is said to be as positive integer. For example: 3, 4, 7, 9, 11, 15, 17, 18, 21, 50, 502 and so on all are the positive integers.

And all the numbers which are less than zero is said to be negative integers. For example: -3, -6, -7, -11, -13, -15, -16, -18, -21, -50, -504 and so on all are the negative integers. Now we see some steps of Adding and Subtracting Integers. First we see how to add integer number. To add integer’s numbers we have to follow some of the steps:

Step1: To add two integers’ numbers first of all we see the numbers; all numbers should be positive or negative number.

Step2: There should be no fractions values.

Step3: Now add all the given positive and negative integers.

Let’s see how to subtract integers. Now we see some steps for subtracting integers;

To subtract the integers we need to follow some steps:

Step 1: To subtract integers first of all we see all the given numbers, all the given number should be positive or negative integer number.

Step 2: Fraction numbers and decimal numbers cannot be included in the integer numbers.

Step 3: Subtract all the given positive and negative integers.

For example: Subtract the number, if the numbers are (-14, -18)?

Solution: when we subtract any integer number we have to follow all the above steps:

Given, (-13, -17), If we subtract -14 - (-18) = -14 + 18 = 4

Let’s see inverse function calculator, as we know that it is online tool which is used to convert the domain of a function to the range and range of a function to the domain. Before going the examination hall go through the cbse class 12 sample papers. It is very helpful for exam point of view and you can get it from here.

List Prime Numbers

In the previous post we have discussed about Even Prime Numbers and In today's session we are going to discuss about List Prime Numbers. In mathematics we deal with many types of numbers, it is because without numbers mathematics is nothing. Here we are going to discuss the list of prime numbers. But before doing that, let’s take a look on the prime numbers. Prime numbers are the numbers that are divisible by one (1) or the number itself. (know more about Prime Numbers, here)

The list prime numbers are given below:-
2      3      5      7     11     13     17     19     23     29
31     37     41     43     47     53     59     61     67     71
 They are the special type of natural and positive numbers. Prime number has only two divisors, first one is number 1 and second one is the number itself. We study the prime numbers under the elementary math. Prime number has one special property I. e. all prime numbers are odd but 2 is only prime number that is even. The smallest prime number is 2 and largest prime number is
m₃₉= 2^13,466,917-1.
We can also calculate the prime numbers but this calculation is for very short range.   The method is defined below:-
Include 2 but cut of all numbers that is divisible 2.
Include 3 because it is the prime number and cut of all numbers that is divisible by 3 such as 6, 9, 12....
Include 5 because it is the prime number and cut of all numbers that is divisible by 5 such as 10, 15, 20......
Include 7 because it is the prime number and cut of all numbers that is divisible by 7 such as 14, 21, 28......
Like this we can include 11, 13, 17, 19 and many numbers as a prime numbers and exclude those numbers that are divisible by the above numbers.
Tree Diagram contains a root node that is further classified into his child nodes, this type of diagram is used for decision making and valuation. When we have to study for any topic in detail then we use this.
We have many ICSE textbooks that are for different classes, it includes 9th, 10th etc. standard classes.  

Even Prime Numbers

In the previous post we have discussed about adding decimals and In today's session we are going to discuss about Even Prime Numbers. A number which is divided by itself and one only that number is known as prime number, prime numbers doesn’t generate any remainder on division by 2. So by the definition we can say that only 2 numbers is the even prime number and rest all are the odd prime numbers. All the number except 2 is divided by 2 so it violates the definition of prime number. So rest all are not even prime numbers.
If we have some digits and the sum of all the numbers digit is multiple of 3 then we can say that the number can be divided by 3 and the number zero and 1 are not considered as the prime numbers. Except the number zero and one, all the number is either prime or a composite number. The number which is always greater than 1 and that number is not prime number is known as composite number.
When we prove the number that the number is prime or not we have to follow some of the steps:
Step1: firstly we have to divide any number by 2 if you get a whole number then the number is not a prime number and if you don’t get a whole number then again divide the number by the prime number.
The even prime number is unique number i.e.2. Rest all are odd prime numbers. (know more about Prime number, here)
The even numbers n = 2m that number are divisible by 1, 2, m, and 2m.
Now we see some of the examples for finding the prime numbers.
For example: check whether the number 5, 7, 14, 17, 21, 31 are prime or not?
Solution: we know that the numbers which are divisible by 1 and itself is known as prime numbers.
So the number 5, 7, 17, and 31 are divisible by 1 and itself. So these numbers are prime numbers. Rests all the number is divisible by 2. So these numbers are not prime numbers.
Multiple regressions are used to know about the correlation between the dependent and independent variables. CBSE computer science syllabus covers all technical papers and issues that help the students for their growth.          

adding decimals

In the previous post we have discussed about how to add fractions and In today's session we are going to discuss about adding decimals. In mathematics, decimal is defined as a system of the numbers and arithmetic based on the number ten, tenth parts, and powers of ten. Decimal is also known as a fraction number whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal. It is also defined the number which contains a decimal point.
                                   2 4 5.6 7 8
Here ‘.’ is the decimal point.
There are three types of decimal number:
1. Exact decimal number: it means that it has exact values after the decimal point just as 0.234.
2. Recurring decimal number: it means that that it has repeated values after the decimal point and goes forever over and over again just as 0.1232323232323232……..
3. Other decimal number: Sometimes recurring decimals are written with a bar over the digits which are repeated, or with dots over the first and last digits that are repeated just as 4.253654856…..
Now let’s discuss how to add the decimal numbers:
There are three steps for the addition of decimal numbers:
Step1: Line all the number in such a way that every number and decimal point should be one under another.
Step2: If the number is in shorter length then put the number of zeros to it.
Step3: Then add in the normal addition manner; make sure to put the decimal point in the answer.
Example:
Add the decimal number 3.426 +4.23=?
Solution:
Step1: Line all the number in such a way that every number and decimal point should be one under another.
i.e.                     3. 4 2 6
                     +    4. 2 3
Step2: If the number is in shorter length then put the number of zeros to it.
i.e.                     3. 4 2 6
                     +    4. 2 3 0
Step3: Then add in the normal addition manner; make sure to put the decimal point in the answer.
 i.e.                     3. 4 2 6
                     +    4. 2 3 0
                           7.  6 5 6
At last adding decimals and Frequency Table are well explained in west Bengal board of higher secondary education.

how to add fractions

In mathematics, fraction is defined as ratio of numerator to the denominator. It is in the form of X/Y where X i.e. the upper part denotes the numerator and Y i.e. the lower part denotes the denominator. The ratio of fraction is in the form of two integers. It can also be written as X ÷ Y.
Now let’s discuss how to add fractions:
There are two types of addition which are done in the fraction:
1. Adding the fractions having the same denominator.
2. Adding the fractions having the different denominator.
First we will discuss how to add when there is same denominator. It is very simple, just you have to follow some basic steps:
Step1: You must see that the denominator of the fraction must be same.
Step2: simply add the numerator i.e. the upper part of the fraction and put the answer above the denominator.
Step3: Solve the fraction.
Second we will discuss how to add when there is different denominator. It is very simple, just you have to follow some basic steps:
Step1: You must see that the denominator of the fraction must be different.
Step2: In this step, make the both denominator same by simply multiplying the numerator and denominator with the same number. This step is very important to solve the fraction of different denominator.
Step3: now just simplify the fractions.
In the above steps you have to multiply the numerator and denominator with the same amount, so that the value of fraction remains the same.
Example:
Add the given fractions ½ + ½ and ½ + ¼ ?
Answer:
 To solve :½ + ½ = ?
Step1:In this problem the denominator of the fraction is same.
Step2: So just add the numerator part and put the answer over the denominator.
                        i.e. ½ + ½ = 2/2
                                         = 1
 To solve: ½ + ¼ = ?
Step1: In this problem the denominator of the fraction is different.
Step2: multiply ½ with 2/2, in order to get the denominator same i.e. 2/4.
Step3: 2/4 + ¼ = ¾.
 Last how to add fractions and Line Plot are well discussed in Karnataka secondary education board.

Adding Integers

In the previous section we have discussed about how to multiply fractions and In today's session we are going to discuss about Adding Integers, When we talk about integers, we say that integers are the series of all positive and negative integers, with zero as the middle number.  The series of integers is endless and extends from minus infinite to positive infinite. We will look at Adding Integers, and how the result of addition of two integers can be attained.  Let us first look at the rules of adding two integer numbers:
a)      If we have two integers a and b such that both the integers are positive integers then we will simply add the digits and get the sum of the two numbers along with the positive sign. Now we see the following example for such sum of integers: +4 + ( + 5 ) = +9
b)      If we have two integers a and b such that  one of the integers is a  positive integers and the second number is a negative number, then we will simply find the difference of the two digits  and get the sum of the two numbers along with the sign of the number which has a greater absolute value. If the negative number has greater magnitude, then we say that sign will be negative and if the positive number has a greater magnitude then we have the result as a positive number.  Now we see the following example for such sum of integers: +4 + ( -7 ) = -3 and  -4 + ( + 7 ) = + 3
c)      If we have two integers a and b such that both the integers are negative integers then we will simply add the  magnitude of the two digits and get the sum of the two numbers along with the negative sign. Now we see the following example  for  such sum of integers : -4 + ( - 5 ) = -9

We will learn about Integration by Parts in class 11 CBSE syllabus of mathematics.

how to multiply fractions

Fractions are the numbers which can be expressed in the form of a/ b, where a and b are the whole numbers and b <> 0. We can perform all the mathematical and the logical operations on the fraction numbers. The mathematical operations involve addition, subtraction, multiplication and division of the two or more fraction numbers. On another hand we say that the logical operation means the comparison of two or more fraction numbers. Logical operations can help us to arrange the series of the fraction numbers in the ascending or descending order.  To learn about How to Multiply Fractions, we say that we will multiply the numerator with the numerator and the denominator is multiplied with the denominator. The new fraction which we get after the multiplication of the numerator with the numerator and the denominator with the denominator, we get the product of the two fraction numbers. We will convert the product of the two fraction numbers in its standard form, so for this we will divide both the numerator and the denominator with the H.C.F of the two numbers.
Once we get the fraction in its lowest form, we will check if we have got the resultant fraction in the proper fraction or improper fraction.  In case the resultant fraction is in the standard form and in the form of the proper fraction, we say that this is the final result. In case the result is in the form of the improper fraction, we say that we will be expressed in the form of mixed fraction.
To learn about the topic of Standard Deviation in statistics, which is covered in the Syllabus for Class 11th Cbse, we will visit the site of any of the math online tutorimg and get the guidance regarding the different method of solving the value and In the next session we will discuss about Adding Integers.

math tutor

We visit the Math Tutor, to learn about the Algebraic Expression, where we can learn how to perform on the algebraic expressions, which can be addition, subtraction, multiplication and division.  Thus let us see how to work with the addition of the algebraic expression. If the two algebraic terms are like terms, then we say that the coefficient of the two terms can be added, else we cannot add them (for detail study click here) . Let us look at the following examples: 3x + 4y + 2x – y
 Here we have two types of terms, one with the variables x and the with the variable y. So we say that the terms with the variable x will be added together and the coefficients of the terms with variable y will be added separately. Thus we get :
3x + 2x + 4y – y
= 5x + 3y Ans
 In the same way we will perform the subtraction in the algebraic expressions. So for subtraction too, we will first bring together the like terms and then get the result for the given algebraic expression.
 Now we will learn the operation of multiplication, which can be performed on the algebraic expressions. For this let us look at a monomial multiplied to a monomial.
Eg : 3x>2 *  4 x>4
 Here we will multiply the coefficients of both the monomial and the powers of the variables are added up when the two terms are multiplied. So we observe here that the constant values 3 and 4 are multiplied to get 3 * 4 = 12.  Similarly we add the powers of x to get x>6
= 12 * x>6 is the product of two expressions.

To learn about the Logic Tamilnadu Board Sample Paper, we need to look at the different types of the papers available online and understand their patterns.

column multiplication

Column multiplication can be done for solving the multiplication problems (read more on multiplication) which are  for the larger numbers. In order to learn column multiplication, we put the first number to  be multiplied in  one row and the number with which we need to multiply in another row. Now we will start picking one row after another from the ones place and each number of the row  of the multiplicand is multiplied with the multiplier. In case the product is greater than 9, then we will carry over the digit of the tens place and thus we get the result.
Let learn it with the help of an example :
If we have the problem : 3402 * 4, then we say that the multiplicand is 3402 and the multiplier is 4. The two numbers are placed under the  place values and so it looks as follows :
   Thousands           hundreds         tens         ones
        3                          4                   0              2

                                                      X                4

  12                                16             0              8
 Here each digit starting from the ones place is  multiplied by the  number 4, so we get 4 * 2 = 8 ,  4 * 0 = 0 ,  4 * 4 = 16 , 4 * 3 = 12
 Now in hundreds and in thousands place, we observe that the result is 16 and 12, which is in two digits, so we will carry over the digit “1 “ from 16 to the thousands place and thus the result will appear as follows :
   Thousands           hundreds         tens         ones
        3                          4                   0              2

                                                      X                4                                                                                                                                      

    13                         6                     0            8
In this way we will get the product of the two numbers by column method.
 To learn about  Area of a Circle Formula we have the online books and content available. AP secondary school education board  also has a good content for mathematics learning. In upcoming posts we will discuss about math tutor and How to perform Unit Conversions.

Mathematical Reasoning

In math online tutoring, Mathematical reasoning is technique of problem solving without knowing about what will be done for solving the problem, if you know about the methods of solving the problems then it will not be defined as mathematical reasoning.
Mathematical reasoning has problems that does not occur in daily life and they are not solved by using any procedure or method but these types of problems are solved by making some strategies that is not defined anywhere and also these are not based on the single rule or perception but have variety of strategies for problem solving.
These problems do not follow any procedure or rule and if you are stuck anywhere at any time because of some problem then you have to do something to solve the problem without following any rules and regulations occur at that time.
Examples (from central board of secondary education) of problems related to reasoning are:
Like write the numbers that are made from 11 tens, 8 ones and 2 hundreds?
Like If Jon has 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 are some problems that are needed little bit attention by the solver to solve and because of this; problems are known as mathematical reasoning problems.
We can take an example for multiplying the number 36 * 17, it will be solved as by multiplying them but for solving this problem in minimum time add 4 to 36 that is equal to 40 and add 3 in 17 to make it 20 and multiply them that is much easier than the multiplication of 36 * 17. So answer for multiplication of 40 * 20 = 800 then subtract 7 (4+3) from 800 that is equal to 793, is the answer.


In upcoming posts we will discuss about column multiplication and Elapsed time problems in Grade IV. Visit our website for information on how to do trigonometry

Steps in problem solving

While math problem solving, the concept of the different operators must be clear to the person and it must also be known that which operator should be used to get the solution to the given problem.
 We find that the Steps in problem solving should be known and must be clear to the person who is involved in solving the problem.  Different word problems have different solutions. While solving the problem, we should first try to understand what the meaning of the problem is and what the requirement of the solution is. Once the problem is clear, we take care that which operator will be used to get the solution to the given problem.
If we remember certain key words, and for what purpose these words are used, we will easily be able to get the solution to the given problem. So we will look at different words and for which mathematical operator these words are mean for.
Let us start with the “+“operator that we have earlier studied in CBSE. If the problem has the  word ADD, Sum, Total, IN ALL, MORE, increased by, Added to , then these words are used to represent the Addition operator of the  given problem. On another hand, if we have the following words in the word problems “REDUCED”, “SUBTRACTED”, “DECREASED BY”, “LESS”, “DIFFERENCE”, then it is clear that  in the given problem we need to find the  difference of the  two numbers.
 Now we look at the multiplication and division. In case we have the value of unit object and we need to find the value of more than one object, we will multiply the given numbers. More over we say multiplication is used for repetitive addition. On another hand to divide or distribute the object equally we write divide.


In upcoming posts we will discuss about Mathematical Reasoning and Numbers and Operations. Visit our website for information on probability worksheets

Problem solving strategies

Math problem solver have the steps to solve the problem. It is the way of defining the problem. In Problem solving strategies we discuss the process of solving large problems that have some techniques that are called as problem solving techniques. In first step large problem is broken into small solvable problems.
If the problem is more complex and difficult then it will be subdivided into less complex solvable part. After breaking the large problem into the small solvable problem define all the variables of the problem and also all the functions and If there is any need of change then that part or functions must be modulated .
The problem solving strategies from Gujarat board can be described as:
(a) Write the problem in your own words to understand the problem in more effective way and List all the variables and the function of the problem that are applied on these variables.
(b) After then according to the first strategy make the appropriate diagram according to the given problem and find the answer based on the diagram.
(c) Other strategy to solve the problem is to make the record or list for all the calculation that is done to solve the problem and calculate the answer.
(d)Predict the answer of the given problem is another strategy and when we get the answer according to the calculation then check the predicted answer.
(e) First divide the problem into small parts and then solve these parts that is known as Divide and conquer the problem and again combine them to get the answer.
(f) Find the problems that have the same pattern as solved previously and follow that pattern to solve the problem.


In upcoming posts we will discuss about Steps in problem solving and Parallel lines, perpendicular lines, geometry. Visit our website for information on rational expressions calculator

interpret data

Hello students, in this section we are going to discuss the Interpret data taken from Maharashtra state board books. Interpret data is the means of analyzing the data. The interpretation of data depends on the several factors. Such as: -
-On variable: - A variable is an element in the data set. Variables value may vary in different conditions.
-Types of variables: - Qualitative means non numerical quality
Quantitative means numerical that may be discrete and continuous.
Tables and graph data: - We store the data in the tables and represent that data by the help of the graphs.
If we talk about the simple meaning of the interpretation, then it is a process of giving some meaning to the symbols of the formal language. Interpretation is the step by step process from top to bottom to assigning the meaning of those things which cannot be easily read by the human beings. Generally in these days various interpretation tools have developed to make the interpretation of data easy.
The data interpretation uses the statistics approaches to analyze some meaningful facts from the research facts. It is not necessary that two different researchers interpret the same type of data on the same way. A interpret result may be anything means a number, a average of two or more number.
The other meaning of the interpretation is: - explanation of the symbols, to take the significance of the formal language.
So it is noted that to understand the interpret data in probability we have to follow some kind of steps.
It means the steps that comes in analyzing of the data are also comes in interpret of data. The interpret data in probability is also done on the same way that we studied above.

In upcoming posts we will discuss about Problem solving strategies and Symmetry of geometric figures. Visit our website for information on list of rational numbers

Probability and Statistics

Hello students in this section we are going to discuss those things that have very much importance in mathematics they are Probability and Statistics taken from CBSE question papers. Let’s discuss them one by one. Probability deals with those things that are not sure, in simply one word in Uncertainty. Name of probability also suggests the same thing. Probability is not only used in mathematics but it is everywhere even in our daily to daily life. Like most probably it will rain tomorrow.
Probability uses three types of models so that we can easily understand the concept; they are independence, sample space and Venn diagram. Let’s see the simple example of probability; if we toss a coin then there will be two conditions either Head or Tail. Probability includes some basic terms that should be familiar by everyone who want to know more about the probability. The terms are: - experiment, random experiment, trial, event, equality likely events and many more. Get detail here.
Now come to the statistics, simply the statistics is used to summarize the data by applying the following process: -
By data collection methods → organizing the data → Analysis the data → Interpretation the data, after this process data is summarized and used for decision making, and the one who do all activities called the statistician. Statistics is not the one topic; it is a whole subject that covers so many topics within it. The most common topics is measure of central tendency, the central tendency includes mean, median and mode. Mean is the average of numbers, median is the middle number of a line segment and mode is the number that occurs most often in number series. In the next session we are going to discuss Collect, Grade III.

In upcoming posts we will discuss about interpret data and Numbers in Grade IV. Visit our website for information on rational numbers worksheet

record

Data recording in Karnataka board syllabus is the way of collecting the data that means data collection is done by recording the data in a way that anyone can easily extract the data from the record. (also read Data Set Example)
Data is recorded by many ways that is defined as follows:
Records are of many types as if we talk about the records for documentation then these are business records or medical records or service records or public records etc.
Some records that have associated with the computers then these are like files or data base that contain all the data that is stored into the computers.
There are also some types of records that are known as the digital records as compact disk also known as the CD or other as USB etc
These records are very useful when we need some data that is previously described and it is used after some time .It is also used for analyze the data means when there is need to comparison among the data then records are very useful for getting the data because data is stored in the records and easily deduced from the records (more details here).
When we talk about the any prediction based on the data then we may use the records in probability finding.
This is define as if there is a record that have the data related to business growth then for doing the comparison between two or more years growth of the business we use the record to gaining the data of respective year and also doing some future prediction based on recorded data .
So records are very useful entity to define all the happenings that are previously happened and also helps in doing the future prediction that are based on that recorded data.

In upcoming posts we will discuss about Probability and Statistics and Whole numbers- read, write, count. Visit our website for information on rational and irrational numbers worksheets

Collect

ICSE syllabus for class 3 maths : Before doing an experiment or for making some decision that are based on some previous data there will be of collect and represent the data .This is the only way through which one can easily, efficiently makes the effective plan or strategies that are totally base on the previously stored data .Before storing the data it should be keep in mind that how data is collected and also from where data is collected.
Data should be collected correctly as well as from the true resource that have the timeliness that means when data is needed by someone it can be easily retrieved by them and after collection of the data it should be organized according to some keys .
After all the collection and organization of the data there will be next very important concept of representing the data. It is the only concept through which the user can understand the previously recorded data and makes some decision on that .Collect and represent data in probability are also helpful that means there data are used to making the future strategies as well as helps in comparison of the data among several years for the same period of time .
There are several Data Collection Methods and various type of data representation like image processing, Global positioning system .Collection probability also the important concept that is based on the collection of data .The main motive behind display the data is to understand the available data and deriving the meaning and also extract the useful in conclusion .The collected data can be stored in the in many ways like:
Statistical tables
or by rank order
or by frequency order .
These forms are useful in statistical analysis of the data .Initially all the data collect in scattered form but later it organize and change into the numerical facts .

In upcoming posts we will discuss about record and Place value whole numbers. Visit our website for information on distributive probability worksheet

Results of probability experiments

Probability Help : As we well know that the probability of an event lies between zero to one. So whenever we are asked that Results of probability experiments then it will always be between zero and one. If we toss a coin then possible outcome can be head or a tail as we know that probability of any event is the ratio of number of samples by number of event. So total number of event will be two and if we have to find the probability of getting a head then it will be ½. As you can see that the probability is between zero and one. As we know that results of probability experiments will always be between zero and one. Probability result will vary greatly when we perform some big experiments, because in big experiments it is very difficult to predict the result. For example if we are throwing two dies and we have to find the probability that the sum of dies will be 7. For more on this topic click here.
Then our first task is to make the samples where the sum of dies will be 7. So samples can be 1,66,15,22,53,44,3 these are the possibilities of getting a sum as 7. And number of event will be 6*6 = 36, so probability of the event will be 6/36. We can simplify 6/36 as 1/6. This is the probability for the given experiment. We can also see that if the experiment is big the probability will always be lesser. The predication of result is depending on number of samples and total number of event. Whenever we are asked to calculate the probability our first task is to calculate the number of events. And after finding the number of event we should go for number of samples. And in this way we can predict the result. In the next session we are going to discuss Grade III of school education Karnataka, Predict future events.

In upcoming posts we will discuss about Collect and Solve Decimals. Visit our website for information on distributive property worksheets

Possible outcomes for simple events

Probability from Karnataka board syllabus of any event is the ratio of number of samples to the number of event. Possible outcomes for simple events can be predicated easily if we are tossing a coin then the possible outcomes can be head or a tail. If we are throwing a die then number of possible outcome can be 6. Because if we are rolling a die we can get the number as 1,2, 3,4,5,6. Possible outcomes of simple events can be predicted easily but it depend upon case to case, if we are choosing a card from the deck of 52 cards then can be very difficult to predict the outcome because there can be 52 outcomes. So every time it is not simple to predict the outcome. If we have to choose a particular card from the deck of 52 cards then it can be a easy task if we have to chose an ace, then there are four aces in the 52 cards so it can be a little easier task. If we have to choose a black card from the deck of 52 cards then it will be a very easier task because there are 26 black cards available there. So probability will be 26/52, that will be equal to ½. Now we will see a simple example in which we will determine the number of samples of an event. Also you can read about Probability Distribution Function to improve your skills.
Example: find the possible outcome if a die is rolled on the surface?
Solution: As we know that a die consists of six faces, and every face contains a number in between one to six. So when we roll the die the outcome can be one,two,three,four ,five and six. So the total number of outcome will be six.
In this way we can determine the possible outcomes for simple events.


In upcoming posts we will discuss about Results of probability experiments and Multiplication/division - inverse relationship. Visit our website for information on probability of exactly one event

Describing events

Hello students, in this session we are going to discuss the describing events topic of mathematics, but before start it you should be familiar with the term events. Events means occurrence, that type of occurrence that observed by any party. Event may anything like ceremony, competition, meetings, festival, media event, party, sporting event and corporate event or Independent Events. And event may be in science, mathematics, technology and in many more fields.
Now the question arise that how to describe the events. To describing the events, we should know the first, the types of events. Describing events (more on events) means telling about the event such as: -
How it happened and how it will happen.
When it happened and when it will happen.
More precisely what happened, when happened, where happened, what were the tools, success-ed or not. And to describing event, we should know the some events object and attributes, like event name, event starting date, event completed date, host name, services, success and many more.
And technically, events may be following types: -
-Complementary events: - These types of event occurs when only one type of event occurs and the other one do not.
-Dependent events: - In this type of event, two events are dependent to each other, if one event's result affects the other event's result.
-Independent event: - Independent event are the events in which the existence of other event does not affect the other event's existence.
-Mutually exclusive events: - Those types of two or more events that do not occur at the same time.

I hope whatever information I gave above will give a brief introduction about the procedure of describing events.
Gujarat board Grade III students can learn something valuable from this information.

In upcoming posts we will discuss about Possible outcomes for simple events and Fractions. Visit our website for information on trigonometry worksheets

Models for multiplication

Hello students, In ICSE syllabus for class 3 maths we multiply various numbers which are also repeated in 4th grade math. To multiply the numbers we follow some models so that we can easily multiply. Models are the easy representation of anything. Now I am going to show you some models for multiplication.
Skip counting: - In this model like we have numbers 1 2 3 4 5 6 7 8 9 10 11 12 and so on and we want 2's table than we can skip one number and we can take next number and apply this process as many time, then we will get 2 4 6 8 10 12 and so on...
Repeated Addition: - In this we can add repeated numbers, by doing this we will also get the same result. For example in this row 7 8 4 6 3 7 4 3 4 7 6 3 4 6 3, 7 is appearing at three times. If we add the 7 + 7 + 7 than we get 21 and if we multiply the 7 from 3 times ( because 7 is appearing in that row at 3 times ) 7 * 3 = 21. So both will produce same result.
Sets : - In this model like we have 3 sets and every set contain the 7 elements than the multiplication result will be 3 * 7 = 21.
Combination : - In this model, we make a combination of similar elements and then multiply them.
Arrays : - In this we multiply the numbers row and column wise.
Scale model : - Generally used in image type objects. More understand by graphically.
Models simplifies the process of multiplication.

I hope the information about the multiplication models will make sense to Grade III students.

In upcoming posts we will discuss about Describing events and Percents problems in mathematics. Visit our website for information on worksheets on rational numbers

Division problems

Math's subject is a collection of various types of operations. These operations are used on the number systems. In the Grade III, Grade 4 and also in 5th grade math of Karnataka state board books we study the most popular operations like addition, subtraction, division and multiplication. 

Division problems is a mathematical operation that divides the number into two different portions. The operation of division can be represented by the ÷ symbol. The division operation ÷ generally known as obelus.

For example 4 divided by 2 is 2, because when four is divided into two portions , each part has two equal numbers. Any number divided by one is equal to the actual given number. We can divide the number by the zero then result will be zero. So, in the mathematics division by zero is not allowed. In the multiplication when two numbers are multiplied to each other then result will be equal or greater then the actual given number. But in the division process the result will be equal or less then the given numbers. In the simple meaning we can say that division is the inverse operation of the multiplication operation. For performing the division operation on the given numbers, it is necessary to be familiar with the table of different numbers. In the below example we show you the process of dividing the numbers with the help of described steps. Improve you division skills by reading this.

Example: Solve the given problems of division 325 / 10?

Solution: The above given situation is the division situation of two numbers. Here the number to be divided into is known as dividend of division that is 325 and the number which divides the dividend are known as divisor that is 10.

step 1:arrange the numbers: 10 ) 325 (

step 2: In the above 10 is a two digit number so we need to take two digit number of dividend for division. The result will be write on the right hand side of dividend.

10 ) 325 ( 32.5

     - 30

    _______

         25

       -20

    _______

         50          (note: here by putting decimal point into answer we can add one

         50                      zero with the reminder )

     ________

               0

In upcoming posts we will discuss about Models for multiplication and Addition and subtraction. Visit our website for information on probability worksheets

0 and 1 in multiplication/division

In  grade III of ICSE board, while learning about the whole numbers and its properties, we cannot omit the role of 0 and 1 in multiplication division, we are going to learn how 0 and 1 in multiplication and addition work.
0 and 1 in multiplication: When 0 and 1 are multiplied with  any natural number, then they produce the following output:
If 0 is multiplied with any number say n, then the result is always zero . i.e. 0 * n = 0.
 On another hand, If 1 is multiplied with any number say n, then the result is always the number itself i.e. n * n = n.
 Thus we get the following results: 23* 1 = 23  and  23 * 0 = 0
                                                                145 * 1 = 145 and 136 * 0 = 0

 Now let us see the effect of these numbers on division:
We say that if there exist a natural number n, then following division properties work:
If 0 is divided by  any number say n, then the result is always zero . i.e. 0 / n = 0 and if  any number is divided by zero, then we get the result as “ no answer “.
If any number n is divided by 1, the result is the number itself and if 1 is divided by any number , then the result we get is the multiplicative inverse of that number, so we say n / 1 = n and 1 / n is the multiplicative inverse of the number n
We have the following examples to illustrate it : ( 0 / 5 ) = 0, ( 0 / 57 ) = 0
This property of 1 makes the number 1 as the “multiplicative Identity” and the property of zero is said as “power of zero”.

In upcoming posts we will discuss about Division problems and Multiplication and division situations. Visit our website for information on Perimeter of a Rectangle Formula

Multiplication problems

Hi Friends! in this online math tutor free session we will discuss about multiplication problems. Problems of multiplication are defined as the process of adding same number n times means when a number is added multiple times then this large process is short by using the multiplication. There are some multiplication problems and properties of multiplication that are useful for grade III students that are as follows:
As if there are addition of six for five times then (6 + 6 + 6 + 6 + 6) is equal to (6 * 5) that is equal to 30 and we easily understand that is a short method then the addition.
If there are problem related with finding the number of things in the equal groups means if there are four group of students and each have 9 students then total students are find by the help of multiplication as total number of students = 4 * 9 = 36 students.
If there are problems related to the arrays that means if there are number of rows 5 and number of columns in each row are 5 then find the number of total columns in the table.
This is also one type of multiplication problem and it is solved as:
Total number of columns = no of rows * no of columns in single row
Total number of columns = 5 * 5 = 25.
There are also some problems that related with the comparison means if the one object's value is n times to the other then this is also solved by the multiplication as understand by an example if Ana have
9 $ and Jenny have 4 times more than Ana then how many rupees Jenny have ?
So the total money of Jenny = 4 * money Of Ana
= 4 * 9
= 36 $
So by the multiplication we can easily find such types of question in very short period of time.

In upcoming posts we will discuss about 0 and 1 in multiplication/division and Negative numbers. Visit our website for information on CBSE 10th science syllabus

Estimation in addition and subtraction

Hi Friends! In today's online math tutoring free session we will talk about Estimation in addition and subtraction. In the mathematical language, estimation refers to calculating the value that is near to the actual value. It means that estimation value is a guess value of the real calculated value. It is usually performed by thought or sometime calculation involved in it. Suppose Jennifer buys some product from market and she thought that she will have to pay near $100. The process of estimation can also be executed in the mathematics. In the mathematics estimation processes are usually performed with the operations like addition and subtraction fractions. This topic helps the students of Grade III to understand the concept of estimation in addition and estimation in subtraction.
Estimation in addition: It is quick way to estimate the total of two or more numbers by rounding each number. After that we add these rounded numbers. This obtained solution is not an exact answer but close enough to the actual value for some purpose. To perform the estimation we need to remember two things:
a) First perform the rounding operation with the given numbers
b) After that add the rounded numbers
In the given example we show you the process of estimation with addition:
Example: Add the given numbers 356 and 678?
Solution: In the first step we round off the numbers 356 into 400 and 678 into 700
Then in second step we add the rounded values of the numbers
400 + 700 = 1100
If we add the actual value the solution will be
356 + 678 = 1034
Estimation of subtraction: It is quick and easier way to estimate the difference value of two numbers by rounding the numbers. The solution would not be exact value but close enough to the actual value for some purpose.
In estimation of subtraction we need to focus on two things:
a) Round off the each given term that will be subtracted.
b) After that perform the subtraction of the rounded numbers.


In upcoming posts we will discuss about Multiplication problems and Positive numbers. Visit our website for information on biology syllabus for class 10 ICSE

Inverse relationship of multiplication and division

Inverse relationship of multiplication and division helps the student of grade III . It is important to know that multiplication and division are the inverse processes. This means when a number is multiplied with other then the answer of it divide by any one of the number in the expression gives the other number in the expression it is understand by an example and you can play Rational Numbers Multiplicative Inverse Worksheets also. In the Inverse relationship of multiplication it is shows as if an expression 4 * 5 = 20 then inverse relationship is
20 / 4 = 5 ;
20 / 5 = 4 .Theses expression shows the relationship that are inverse in the way that when multiply 4 with 5 then it gives 20 and 20 is divided by 4 or 5 then it gives the other number in the given expression as 5 or 4 respectively .
When we talk about the Inverse relationship of division it is also shown as above Inverse relationship of multiplication as if an rational expressions 21 / 3 = 7 then it shows the inverse relationship as by multiplying the result with the divisor of the given expression as
3 * 7 = 21 or
7 * 3 = 21 .These expression shows the inverse relationship of division as when 21 is divided by the 3 it gives the answer 7 and according to the inverse relationship when 7 is multiplied with 3 or 3 is multiplied with 7 it gives the 21 that is the dividend .
So by these examples we easily understand the inverse relationship of multiplication and division . So these properties of multiplication and division are helpful in calculation where in three number only two are known and other one is unknown then by this user can easily find the answer .In the next session we are going to discuss 0 and 1in multiplication 0r division.

In upcoming posts we will discuss about Estimation in addition and subtraction and Factors and products. Visit our website for information on syllabus of economics for ICSE class 12

Multiplication facts/tables

In online tutoring for free for Grade III, we will be learning about the Multiplication tables and Multiplication facts
 Let us first learn what multiplication is. Multiplication means repeated addition. Multiplication is represented by  a sign “ * “. Now we see that when we write 3 * 5, it means 5 is added 3 times and it can be expressed as 5 + 5 + 5 = 15
 Also we have 3 * 5 = 15. To make the process of multiplication easier, the multiplication tables are formed, which are learned orally by the tiny tots in smaller grades
We express the table of any number n as
N * 1 = n
N *  2  = 2 times n
N * 3 = 3 times n
N  * 4  = 4 times n
And it … proceeds till
N * 10 = 10 times n
Now following the above rule we write a table of 3 as:
3 * 1 = 3
3 * 2 = 6
 3 * 3 = 9
 3 * 4 = 12
3 * 5 = 15
 3 * 6 = 18
 3 * 7 = 21
3 * 8 = 24
 3 * 9 = 27
 3 * 10 = 30
Now we look at the multiplication fact: (get more detail here)
We must remember that if we write  3 * 4  or we write 4 * 3 it will produce the same result.
 Thus for any division fact , there exist 2 multiplication facts. Let us try it  with some example:
 If we are given a division fact 30 / 5 = 6 what are the two multiplication facts for it:
 The above division expression can be written as :
5 * 6 = 30 , which means that 6 added 5 times gives 30.
or we will write 6 * 5 = 30, which means  5 added 6 times gives 30.

In upcoming posts we will discuss about Inverse relationship of multiplication and division and Equivalent fractions. Visit our website for information on ICSE syllabus for class 3 maths

Unit cost

In Grade III, Today as online tutors we are going to  learn about Unit cost of any article. Let us first define unit cost: Unit Cost of any article is the cost of the object in one  unit, this unit varies from object to object. If we are going to buy vegetables, it represents 1 Kg, if we are buying milk, then unit represents 1 liter, on another hand if we talk about buying clothes one unit represents 1 meter.  In this math homework help unit we will learn that if the cost of more than 1 unit ( say n units ) is given and we need to find the cost of 1 unit then what procedure is to be followed.  We will simply divide the total cost by the  number of units i.e. n
It will be more clear with the following examples:
If the cost of 2 kg apples is  250 $, then what is the cost of  a unit Apples?
 Here we are given the cost of  2 kg apples = 250 $
 We observe that the value of n = 2
 So to find the cost of 1 kg apples we will simply divide the total cost of the apples=
   = 250 $ / 2
Or = 125 $
 The same rule works for  larger numbers. Let us try another example: (for more details refer this)
If 15 kg of sugar cost 300 $, find the cost of  a unit of sugar?
 Here we observe that cost of 15 kg sugar is given as = 300 $
 So we have n = 15, thus in order to find the cost of 1 kg ( unit )  of sugar, we need to divide the total cost of the  sugar by 15
 So  unit cost of sugar = 300 / 15
= 20 $ Ans.

In upcoming posts we will discuss about Multiplication facts/tables and Multiplication facts and tables. Visit our website for information on 12th Biology Maharashtra board syllabus

Odd and even numbers

 Hi Friends! In this online tutor free session we will discuss about Odd and Even Numbers
 Odd and even numbers- Therse are the properties of the numbers.
Even Numbers: Even numbers are those numbers which are divided by 2 or numbers whose ones place value digit is 2 , 4 , 6 , 8 , 0
Examples are 2 , 4 , 6 , 8 , 10, 12, 14, 16 , 18 (Know History of even numbers here)
Odd Numbers: These numbers are those which end with 1 , 3 , 5 , 7 , 9
Properties of Odd and Even Numbers:
Addition:
Odd+Even =Odd
Even+Even=Even
Odd+Odd=Even
Subtraction:
Odd-Even=odd
Multiplication:
Even *odd=even
Even*even=Even
Odd*odd=Odd
Examples to Learn about Odd and Even Numbers:
Example: Check 12 is odd/Even Number?
 Answer: Even- because it ends with two
Example: Check 23 is odd/Even Number?
 Answer: Odd-Because it ends with 3
Example: Check 52 is odd/Even Number?
 Answer: Even- because it ends with two
Example: Check 91 is odd/Even Number?
 Answer: Odd
Example: Check 33 is odd/Even Number?
 Answer: Odd
Example: Check 82 is odd/Even Number?
 Answer: Even- because it ends with two
Example: Check 11 is odd/Even Number?
 Answer: Odd
Example: Check 4435 is odd/Even Number?
 Answer: Odd
Example: Check 6768 is odd/Even Number?
 Answer: Even
Example: Check 8998 is odd/Even Number?
 Answer: Even
Example: Check 21313 is odd/Even Number?
 Answer: Odd
Example: Check 344 is odd/Even Number?
 Answer: Even
Properties of Odd Even Numbers Examples
Example 1: Check the result of 22 + 42=? Whether it is Eve/Odd?
Solu: 64 -Even
Example 2: Check the result of 43 + 19=? Whether it is Eve/Odd?
Solu:  62 -Even

 For more on even and odd numbers visit here

Example 3: Check the result of  67 - 13=? Whether it is Eve/Odd?
Solu: 54 -Even
Example 4: Check the result of  72 - 12=? Whether it is Eve/Odd?
Solu: 60 -Even
Example 5: Check the result of 3 * 6=? Whether it is Eve/Odd?
Solu:  18 -Even
Example 6: Check the result of  7 * 11=? Whether it is Eve/Odd?
Solu:  77 -Odd
Example 7: Check the result of 16 * 7=? Whether it is Eve/Odd?
Solu:  112 -Even
Example 8: Check the result of 5 * 9=? Whether it is Eve/Odd?
Solu: 45-Odd


In upcoming posts we will discuss about Unit cost and Associative property of multiplication. Visit our website for information on 12th physics syllabus Maharashtra board

Addition and subtraction

Addition and Subtraction (also repeated in 4th grade math)
Addition:Adding two numbers by arranging them in equal place values is called as Addition
Studens till Grade III learn about this concept Clearly
Addition of Single digit numbers :Add the same place value digits with each other and if sum is greater than 9 then carry forward it to next place value digit
Examples: 2+3=?
Answer: 5
Examples: 6+9=?
Answer: 15
Examples: 1+4=?
Answer: 5
Examples: 5 + 3=?
Answer: 8
Examples: 2+8=?
Answer: 10
Examples: 9+4=?
Answer: 13
Addition of two digit numbers :
Examples: 73+11=?
Answer: 84
Examples: 12+53=?
Answer: 65
Examples: 18+49=?
Answer: 67
Examples: 16+82=?
Answer: 98
Examples: 55+34=?
Answer: 89
Examples: 66+33=?
Answer: 99
Examples: 89+71=?
Answer: 160
Examples: 31+51=?
Answer: 82
Examples: 06+10=?
Answer: 16
Examples: 25+26=?
Answer: 51
Examples: 60+83=?
Answer: 143
Examples: 83+57=?
Answer: 140
Examples: 97+60=?
Answer: 157
Examples: 23+34=?
Answer: 57
Examples: 63+42=?
Answer: 105
Examples: 98+29=?
Answer: 127
Examples: 78+77=?
Answer: 155
Examples: 29+77=?
Answer: 106
Examples: 30+99=?
Answer: 129
Examples: 10+20=?
Answer: 30
Examples: 37+21=?
Answer: 58
Examples: 29+39=?
Answer: 68
Examples: 43+21=?
Answer: 64
Examples: 22+70=?
Answer: 92
Examples: 72+31=?
Answer: 103
Examples: 42+61=?
Answer: 103
Examples: 90+20=?
Answer: 110
Subtraction: The number which is subtracted is called as subtrend
Subtraction of single digit number: (also read how to subtract integers)
Examples: 9-2=?
Answer: 7

Examples: 3-2=?
Answer: 1
Examples: 8-1=?
Answer: 7
Examples: 9-4=?
Answer: 5
Examples: 4-2=?
Answer: 2
Examples: 6- 1=?
Answer: 5
Examples:  5- 3=?
Answer: 2
Examples: 8- 3=?
Answer: 5
Subtraction of two digit numbers :Arrange the place value digits and if one digit is smaller than subtrend then we have to carry from the nect place value digit
Examples: 72-21=?
Answer: 51
Examples: 33-10=?
Answer: 23
Examples: 89-13=?
Answer: 76
Examples: 56-32=?
Answer: 24
Examples: 61- 11=?
Answer: 50


Examples: 38- 18=?
Answer: 20

Examples: 42- 38=?
Answer: 4
Examples: 79-35=?
Answer: 54
Examples: 75-60=?
Answer: 15
Examples: 39-17=?
Answer: 22
 Examples: 88-48=?
Answer: 40
Examples: 59-52=?
Answer: 7
Examples: 70-35=?
Answer: 35
Examples: 44-39=?
Answer: 5
Examples: 78-67=?
Answer: 11
Examples: 61-15=?
Answer: 46
 Examples: 56-42=?
Answer: 14
Examples: 43-16=?
Answer: 27
Examples: 88- 55=?
Answer: 33

Examples: 67-21=?
Answer: 46

Examples: 47-32=?
Answer: 15

Examples: 99- 42=?
Answer: 57

Examples: 55-36=?
Answer: 19

In upcoming posts we will discuss about Odd and even numbers and Rounding numbers. Visit our website for information on Tamilnadu Board Statistics Sample Papers

Fractions and decimals

Fractions and decimals for grade III

What is a decimal number? Decimal numbers are basically the type of the fraction numbers. Decimals numbers always have the fraction form. It’s not needed to write always them in the form of fraction. This is the point of understanding that 0.2 can be written as 2/10 or 1/5. 0.7 can be written as 7/10. The numbers after the decimal point decides that what power of 10 would be followed by the fraction in the denominator.

There are a few examples to understand the relation between Fractions and decimals (also use decimal to fraction calculator).

Example 1: write down 0.009 in the fraction form.
Solution: 0.009 = 9/1000
In the problem there are three numbers after the decimal point so in denominator 10 follows the power of three.

Example 2: write the fraction to decimal form of the given number 783/10000.
Solution: 783/10000 = 0.0783
This is the decimal representation of the fraction 783/10000. Here four zeroes in the denominator denote four digits after the decimal point. In the given problem only three digits are present so to make them four one additional zero is added at the left side.

Addition of decimal numbers (more on decimal number) can be easily performed as column addition. Following example would help better to understand the addition of the decimal numbers.

Example 3: Add the following decimal numbers.
           4 . 6
        + 8 . 9
Solution: Addition of the decimal numbers is the same as the column addition. It can be performed as follows
            4 . 6
        + 8 . 9 = 13  .  5
Step 1: on adding he digits of the first column from the right side the total is 9 + 6 = 15. Write down 5 and 1 would become carry for the next column.
Step 2: now add the digits of the second column with carry 4 + 8 + 1 = 13. The decimal will be at the same place as in the problem. 13.5 is the answer.


In upcoming posts we will discuss about Addition and subtraction and mode. Visit our website for information on Tamilnadu Board Sociology Sample Papers

Add subtract simple fractions

Adding and Subtracting Fractions having same denominator is much easier than the different denominator. We just need to add or subtract the numerator and write down the answer with the same denominator.

Here are some examples to add simple fractions, subtract simple fractions and how to multiply fractions for grade III.

Example 1: Calculate the addition of the fraction given below
                  (1/7) + (2/7) + (6/7) = ?
Solution: in the above problem denominator of all the three fractions are same so addition of these fractions can be done easily as
                 (1/7) + (2/7) + (6/7) = 9/7
We need to just add the numerators i.e 1 + 2 + 6 = 9
Example 2: Calculate the subtraction of the fractions given below
  (7/5) – (3/5) =?
Solution: This is the simple subtraction of fractions and can be solved as
  (7/5) – (3/5) = 4/5
Here we just need to subtract the numerator values i.e. 7 – 3 = 4 and denominator would become the same as in the problem.
To add/ subtract the fractions (read more fractions here) having different denominators can be difficult from the examples above shown. In this type of problems we have to make denominators the same so that they will look like the above problems. This is only the additional step for the fractions having different denominators.
To find the same denominator for all the fractions it is needed to calculate their LCM i.e. least common denominator. There are two methods to find out least common denominator.
• First method is that write some multiples of the denominators until we get the least common denominator.
• By second method LCD can be calculated via writing each denominator as a product of it’s prime factors.

Both will be clear after solving the following example.

Example 3: Calculate the addition of the following fractions
                  (8/5) – (3/15) = ?
Solution:  Here both denominators are different. Thus to make them same on writing the multiple of both denominators; 5 (5, 10, 15, 20, 25…) and 15 (15, 30, 45, 60…). Here the number we are looking for is 15 because it’s the least common denominator.
Thus the solution of the problem
(8/5) – (3/15) = (8*3/5*3) – (3*1/15*1)
            = (24/15) – (3/15)
            = 21/15
It can further be simplified because it’s divisible by 3 i.e. 7/5.

In upcoming posts we will discuss about Fractions and decimals and Estimation in multiplication/division. Visit our website for information on Tamilnadu Board Political Science Sample Papers