Monday 25 June 2012

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.

Friday 22 June 2012

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.

Friday 15 June 2012

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= 213,466,917-1.
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.  

Wednesday 13 June 2012

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.          

Thursday 7 June 2012

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.