How to use Least Common Multiple Calculator

In the previous post we have discussed about How to use Geometric Mean Calculator and In today's session we are going to discuss about How to use Least Common Multiple Calculator. To understand about the least common multiple calculator, we must first understand the meaning of the multiples. If we write the multiples of a number 5, we say that the numbers 5, 10, 15, 20, 25, 30, 35 . . . . are all the multiples of 5. It simply shows that the numbers which are completely divisible by the given number is it’s multiple.  So we say that the number 10, 15, 20 . . .  are completely divisible by 5, so they are the multiples of 5.  Now to learn about the least common multiples of the given two or more numbers, we say that the common multiples of the factors of the given numbers can be picked and then they are multiplied to get the desired number. Here if we need to find the least common multiple of the given numbers says 25 and 45, we will first write the prime factors of the two numbers and then we will pick the common factors and find their product to get the least common multiple of the given numbers. So we proceed by writing the factors of  25 and 45 as follows :
25 = 5 * 5 * 1
45 = 3 * 3 * 5 * 1
 Here we find the common factors of the two numbers as 5 and 1, so we get the least common multiple of 25 and 45 as 5 * 1 = 5 Ans. (know more about Least common multiple, here)
To understand more about least common multiple calculator, the online help is always available to practice on the required worksheets.
  We can learn about How to Find Circumference of the circle by the online math tutor, which is always available on the internet.  To know about the West Bengal Board Syllabus, we can visit its website and know the contents of the curriculum that are being covered in the syllabus.

How to use Geometric Mean Calculator

In the previous post we have discussed about Operations With Integers and In today's session we are going to discuss about How to use Geometric Mean Calculator. In mathematics whenever we study about series then geometric progression is one of the most complicated series. If a, b, c are in geometric progression then b/a = c/a =r here  r is called a common difference and its value will be same for all the elements of geometric progression.
If the value of a =2 , b=4 ,c=8 ,then according to geometric progression b/a = 4/2 , c/a = 8/4
now we get common difference r = 2 . If we have to extend the terms in geometric progression then we have to multiply last term by common difference. As in the above example 8 is last term and if we multiply it by common difference two then we will get 16 that will be the next term of the series.
If we have two numbers a and b and we are asked to calculate the geometric mean then it will be
G= √ab here G is called geometric mean for all the elements. Now we  will see the How we calculate the geometric mean. Suppose we have a two numbers first number a= 2 and another number is b= 8 and these numbers are in G.P then geometric mean will be G=√2*8 = √16 = 4 , in this way we get the geometric mean G= 4. If we talk about geometric mean calculator then it always ask for two values, the values should be in geometric progression, firstly it will multiply two value then it will calculate square root. In this way we can calculate the geometric mean of any two numbers with the help of geometric mean calculator.
Boolean algebra is one of the most important topics in CBSE syllabus so If we want score good marks you should go through Boolean algebra and would read the cbse class 12 sample papers.

Operations With Integers

Integers are endless series of numbers which start from minus infinite and goes up to plus infinite, such that every number in the series has its successor and each number has its predecessor. We will learn that how to perform   Operations with Integers. In order to perform the operations with integers, we say that all the mathematical and the logical operators can be performed on the integers. By logical operations, we mean that we can compare the two integers and arrange the series of integers in ascending or descending order. We know that all the positive integers are greater than 0 and all the negative integers are less than zero. So we come to the conclusion that  if we draw a number line , zero lies in the middle and the more we move towards right the positive number goes on increasing and the more we move towards left, the negative numbers goes on decreasing. So to compare the two numbers we say that the number on the right of the number line is always greater than the number on the left side.  Now we look at the mathematical operations on integers. We can add, subtract, multiply and divide the integers. We say that the integers satisfy the closure property for the addition, subtraction and multiplication operation. But the closure property does not hold true for the division operation. It means that when two integers are added the result is an integer, if two integers are subtracted or multiplied the result is an integer but division of two integers is not an integer every time.
  We can take the guidelines from Free Online Tutoring to understand the topics which we find difficult to solve otherwise. We also have CBSE Sample Papers online to learn about the  concepts of the question papers which have come in the past years for different subjects and In the next session we will discuss about How to use Geometric Mean Calculator.

How to Find The Area of a Circle

In today session we are going to discuss how to find the area of circle. The area of circle can be obtained by the following ways.
1: If we know the radius of the circle.
If the radius r is given then the area of the circle can be calculated by the using the method
   Area of circle = pi*r²
Where r is the radius of the circle and (pi) is the constant having fixed value 3.142 or 22/7
We can also understand how to find the area of circle in the CBSE Books for Class 8.
 2: If we know the diameter d of the circle
If diameter d is given then the area of the circle can be calculated by the using the method
     Area of the circle = pi * d²/4
Where d is the diameter of the circle and (pi) is the constant having fixed value 3.142 or 22/7
This topic is also important to find the confidence interval.
3: if we know the circumference of the circle
If circumference c is given then the area of the circle can be calculated by the using the method
             Area of the circle = c²/4*pi
Where c is the circumference of the circle and (pi) is the constant having value 3.142 or 22/7.
At the end of the above method to determine the area of the circle .there is an another way to find the area of the circle
By using the method of area of sector of the circle = (pi*R²*angle) / 360
Where r is the radius of the circle and (pi) is the constant having fixed value 3.142 or 22/7
For the area of whole circle angle must be equal to 360 degree. Therefore the area of the circle will be = (pi*R²*360) / 360 it implies that
Area of the circle = pi*R²   

Volume of a Sphere

Previously we have discussed about add radicals calculator and In today's session we are going to discuss about Volume of a sphere, It is a three dimensional surface in which every point on the given surface is equidistance from a point.

Now we will see the formula for finding the volume of sphere, the formula for finding the volume of a sphere is:

        Volume = 4 ⊼r3, Where r represents a radius of a sphere.

                        3

Some condition of sphere is also realized that the volume of a sphere is exactly two thirds of the volume of its circumscribed cylinder, which is known as smallest cylinder which can contain the sphere. If we want to find the radius of a sphere using the above formula:

           r = 3√3v, where v denotes the volume of a sphere.

                     4⊼

And the value of ⊼ is 3.14;

If we want to find the volume of a sphere using diameter then we use the formula

        Volume = 4 ⊼ (d/2)3,

                        3  

Sphere is an object in the three dimensional space. Its shape is just like as a round ball.  And the maximum distance through the sphere is known as diameter of the sphere. Diameter is twice the radius of the sphere.

Now we see how to find the volume of the sphere using diameter, with the help of example.

Example: - Find the Volume of a Sphere where its diameter is 30 inches.

Solution: we know that the volume of a sphere is

                Volume = 4 ⊼r3

                                3

Here we have to find the radius of a sphere with the help of diameter.

We know that the radius is half of the diameter.

        r = diameter

                  2

So putting the diameter value in formula

        r = 30

               2

        r = 15;

And the value of ⊼ is 3.14

So putting all the values in the formula

Volume = 4 ⊼r3

                3

             = 4 * 3.14 * (15)3

                 3

            = 4 * 3.14 * 3375

                3

           = 42390

                  3

             = 14130 inch3

We get the volume of a sphere using the diameter is 14130 inch3.

Multiplication Worksheets is very important concept of mathematics, it is also available in cbse class 8 books.

add radicals calculator

In our last post we talked about online math tutor, in this post we will focus on add radicals calculator. We have Add Radicals Calculator, which will help us to understand and learn about the operations on radicals. Radicals mean the numbers with the powers in the form of fractions. These fractions can be ½, 3/2, 2/5 etc. Let us consider the following addition of radicals.
Root ( 3 ) + root (3 ) = 2 root ( 3)
 We say that only similar radicals are added. It means that the radials with the same radicands are added.  So if we have the problem: 3* root (2) - 2* root ( 3 )  + 5 * root ( 3 )  - root ( 2) + 5
Here we will join together the radicands with root 2 one side and the radicands with root 3 on another side of the expression. Thus we get the following result:
= 2 * root ( 2) +  3 * root ( 3)  + 5
 Here we observe that the whole number 5 is not the part of any radical so it will neither be added to root ( 2) nor to root ( 3). So we get 5 as the separate number and it is not summed up to any of the radicals. On another hand the radicals which are similar, their coefficients are added up or their difference is calculated to get the result.
 Let us take another example:  root ( 18 ) + root ( 8 )
 = root ( 3 * 3 * 2 ) + root ( 2 * 2 * 2 )
   = 3 * root ( 2) + 2 * root ( 2)
 =  5 * root ( 2) Ans.

  We can always use Algebra Help, online to learn about the problems related to Algebra. Tamilnadu Board Statistics Sample Papers are also available to get time to time help on the curriculum.

online math tutor

Online math tutor can help us to learn about the integers and its properties.  If we talk about the integers, we say that the integers are the series of the positive and negative numbers which also has a number zero as the middle number.  Now we also observe that the online math tutor can be used to learn about the properties of the integers. All the integers satisfy the following properties:
Closure property:   Closure property holds true for the addition, subtraction and multiplication, but does not holds true for the division. It means that if two integer numbers are added then the resultant number is also an integer. Similarly by closure property of subtraction, we mean that if  we have two numbers, then the difference between the two numbers is also an integer and the product of the two integers is also an integer but the quotient of two integers is not necessary an integer every time.
Commutative property of integers also holds true for addition and multiplication, it means that if we have any two integers a and b, then by commutative property of addition and multiplication, we mean:  a + b = b + a
Similarly we have a * b = b * a
Associative property of integers also holds true for the addition and multiplication  :  It means that if a, b, and c are any integers, then  by associative property of integers, we mean that if the order of addition or multiplication is changed the result remains same . Mathematically we mean:
( a + b )  + c = a + ( b + c )
( a * b )  * c = a * ( b * c )

 We can use online help to understand about Area of a Regular Polygon, which is the part of syllabus of school of secondary education Andhra Pradesh. In next post we will talk about add radicals calculator