Wednesday 22 August 2012

multiplication table

In the previous post we have discussed about Positive and Negative Number and In today's session we are going to discuss about multiplication table. In mathematics, the concept of multiplication table plays an important role for solving various calculative terms in real world. If we want to define multiplication table in mathematics then it can be describe as a table that shows the multiplication of number in various algebraic systems. The concept of multiplication table first introduced by the great arithmetical mathematician Mr. John leslie in his book “the philosophy of arithmetic” in 1820. The basic concept behind the multiplication table is that to remove the process of adding a vast amount of values by overlapping the concept of multiplication. Through the multiplication table user can easily calculated complex values in a quick and easier manner.


Here in this section we are going to discuss about the multiplication table chart which demonstrates the multiplication table in the form of chart. It means to say that chart is a pictorial representation of a multiplication table in the form of rows and columns. The concept of multiplication table gets very useful when it shows in the form of chart. It is easy to represent multiplication table by taking (x + 1)2 rows and column in chart. Here value of x is equal to the value that is used for representing a table from 1 to x. It means if we take a value of x as 12 then chart contains (12 + 1 )2 = 169 rows in a chart. One more thing we need to remember one thing that first row should be empty. (know more about multiplication table, here)

We can easily access this chart by follow the given rules:
I ) First pick any value from top side
II) Then pick another value from left side.
III) After that start from left number to right side up to the top number line.
IV) Then we can see that there is right value we obtained.

Representative Elements is a elementary table that represent organized elements with their properties. Students who are appearing in national talent search examination then ntse sample papers help them to perform well.

Positive and Negative Number

Numbers are of different types that are real numbers which is a superset of all types of numbers. it consists of different types of numbers that are natural numbers, whole numbers, rational numbers, positive and negative numbers. Here, we will spark our knowledge on positive and negative numbers. Positive number is defined as the numbers which are positive in nature and plus sign is considered for them represented as ‘+’. And negative numbers are defined as the numbers which are negative in nature and recognized by minus sign represented as ‘-‘.

Different mathematical operations can be easily performed over positive and negative numbers. These mathematical operations are addition, subtraction, multiplication and division. When a positive number is added with a positive number it provides a positive output but when a negative number is added with a positive number it performs subtraction and the result may be positive and negative.

Similarly when a positive number is subtracted from a negative number then subtraction is performed and result may be positive and negative but when a negative number is subtracted from a negative number then addition is performed and the result is obtained as negative. Multiplication of two positive and two negative numbers are positive and if opposite symbols are multiplied then the result obtained is negative. Relative standard deviation is defined as the absolute value of coefficient of variation. It can also be expressed in the terms of percentage.

For comparing the data of any two persons or any two events we used to calculate average of the data, standard deviation, and relative standard deviation. Then, the data is compared with average of each data. Cbse is defined as the Central Board Of Secondary Education. Cbse syllabus is considered all over India. It conducts examinations all over India and includes thousands of schools and In the next session we will discuss about multiplication table. 

Monday 13 August 2012

How to Cross Multiply

Mathematics is a subject through which we can solve the real world problems by using several various mathematical concepts. Arithmetical mathematics can be considered as a part of mathematics which is a collection of various elementary concepts to solve problems. In fundamental mathematics, we usually start with number system. Fractional numbers are the part of number system which represents two integer values in the form of denominator and numerator. Suppose we have two numbers ‘n’ and ‘d’ then they can be represented in fraction form as n / d.
When we want to perform arithmetic operations between two or more fractional numbers like multiplication, comparison, finding greater fraction and so on then we required to use another concept to solve the problem, which is popularly known as cross multiplication. In this situation a question arises in our mind that How To Cross Multiply between fractional numbers.
Cross multiply is a mathematical trick or skill which is used to minimize the calculative part of performing multiplication between fractional numbers. The basic reason behind using this concept is that it generates the result in a quick and easier manner. When we want to perform various operations between fractional numbers we need to remember some points that are given below:
I ) In this phase we need to perform multiplication between numerator of first fraction to the denominator of other fraction and right down the answer one side.
II) After first phase multiply the denominator of first fraction to the numerator of second fraction and right down the result on other side. (know more about Cross Multiply, here)
Through the use of cross multiply we can easily minimize the fraction into their lowest term then we easily perform multiplication between them.
In chemistry, the nucleus of any atom is made by two things which named as Protons and Neutrons. The cbse syllabus and cbse sample paper for class x helps the students to make their board preparation very well.