Is 1 a Prime Number

In the previous post we have discussed about Convert Percent to Fraction and In today's session we are going to discuss about Is 1 a Prime Number. Let us first learn what are prime numbers? The numbers which have only two factors, 1 and itself are called prime numbers. Now another question arises that is 1 a prime number?
If we start looking at the series of the natural numbers and separate the series of the prime and the composite numbers, we find that the number 2 has the factors 1 and 2, so it is a prime number. Next number we have is 3, which has the factors 3 and 1, thus 3 is also prime number. Moving on to 4, we say that factors of 4 are 1, 2 and 4. So 4 is a composite number.  Similarly we go on checking the series of natural numbers and come to the conclusion that 2, 3, 5, 7, 11, 13, 17. . . . are the series of prime numbers and 4, 6, 8, 9, 10. . .  are all composite.  (know more about Prime number , here)
We also must know that 2 is the smallest prime number. Now what about the number 1? We say that the number 1 is neither a prime number nor a composite number. Yes we say that the number 1 has the factor 1 and itself (which is again 1).  But it is a special number, which neither belong to the series of the prime numbers nor to the series of the composite numbers. So the answer to the question that is 1 a prime number is a big NO. Thus we say that 1 is a special number and it does not belong to the family of prime numbers.
To learn about what is a Polynomial, we can visit online math tutor and understand the concept of doing different mathematical operations on the polynomials. To know about the curriculum of math grade 10 for Gujarat board, we can visit the website of the board and collect the required information.

Convert Percent to Fraction

Word percent mean out of 100. Thus when the number 25 % is written, it indicates 25 out of 100. Now let us look at the method to convert Percent to Fraction. If any percentage is given, we will first write it in the form of the fraction, which will represent the number as the numerator and the digit 100 as the denominator. Now we will look into the   number, which has turned in the form of a / b. This value of a and b are the whole numbers where we have b <> 0.  Now the fraction so formed is in the lowest form or not. If not, we will convert the fraction in the lowest form. (know more about Fraction , here)
For this, we will find the HCF of both the numerators and the denominators. In case we get the HCF as 1, it indicates that the fraction so attained is in the lowest form else we will proceed to convert it in the lowest form. For this both the numerator and the denominator are divided by the hcf of the given number. If we have the percentage as 35 %, we will write this percentage as 35 / 100. Now we observe that the HCF of 35 and 100 is 5. So we will divide both the numerator and the denominator by 5 and we get:
35 / 100 = 7 / 20,  which is the required fraction number.
Here if we have to learn about the Temperature Conversion Formula, we will visit online math tutor, where we will learn about the method of converting the Celsius temperature to Kelvin or to Fahrenheit degree.   To know about the curriculum of Maharashtra State Board of Secondary and Higher Secondary Education, we will visit the website of the Maharashtra Board for the particular grade and particular subject and In the next session we will discuss about Is 1 a Prime Number. 

Learn Subtracting Integers

In the previous post we have discussed about Learn Adding Integers and In today's session we are going to discuss about Learn Subtracting Integers. The set of positive and negative numbers excluding decimals and fractions is known as integers. Any positive or any negative number can be included in the integers. (know more about Subtracting Integers, here)
For example: -22, -44, -57, -62, 0, 19, 55, 84, 106, 121, and 171;
The numbers shown above are all the integer numbers. The number ‘0’ is also an integer number.
Let’s discuss the types of integers which are shown below:

1.   Positive integer,

2.   Negative integer,

Let’s discuss the steps for subtracting integers;
We have to follow some of the steps for subtracting integers, the steps are shown below:
Step 1: Firstly we will see all the given numbers, all the given number should be positive or negative integer number for subtracting integers number.
Step 2: In the case of subtracting integers the fraction numbers and decimal numbers are not included in the integer numbers.
Step 3: At last subtract all the given positive and negative integers.
For example: Subtract the number, if the numbers are (-14, -18)?
Solution: If we subtract any integer number then we have to follow all the above steps:
Given, (-14, -18)
If we subtract then we get:
 = -14 - (-18) = -14 + 18 = 4;
For example: when one integer is positive and the value of positive is 115 and one integer is negative and the value of negative integer is -184 then we have to subtract both the integers.
Solution: Given,
Positive integer = 115;
And negative integer = -184;
On subtracting both the number we get:
= 115 - (-184) = 115 + 184 = 299
We get positive integer.
Now we will discuss Inflection Point – A point defines on a curve at which the sign of curvature changes is known as Inflection Point. The Inflection Point may also be stationary points but they are not local maxima and local minima.
To get more information then follow CBSE Board Syllabus.

Learn Adding Integers

In the previous post we have discussed about How to Divide Mixed Numbers and In today's session we are going to discuss about Learn Adding Integers. Let us first talk about the integers. Integers are the numbers which extends from negative integers to positive integer. Here we also observe that every integer has the successor and the predecessor. We can get the successor of any integer by adding 1 to the previous integer and the predecessor can be attained by subtracting 1 from the given integer. Now let us learn about the logics of adding integers.  When we have to add the two given integers, we need to follow certain rules of addition.  When the addition of two integers is to be done, we say that the following rules of addition apply:  (know more about Integer, here)
1.      If both the integers are positive integers, then we will add the two numerical values and the sum of the two integers is a positive integer. Eg : +3 + 6 = + 9
2.      If both the integers are negative integers, then we will add the two numerical values and the sum of the two integers is a negative integer.  Eg: -5 – 4 = -9
3.      If one of the integers is a positive integer and the other is a negative integer, then we will find the difference of the two numerical values and place the sign of the number which has the larger magnitude. Thus by finding the difference of the two integers we will  get the sum of the two integers with the different signs. Eg : -9 + 4 = -5 and  +9 + ( -5) = +4 Ans
 To learn about the Arithmetic Mean, we say that  the concept and the real life applications of the Arithmetic mean can be learned by the help of online math tutors which are available every time. We can also take the help of CBSE Board Previous Year Question Papers to understand the pattern of the previous year question papers.

How to Divide Mixed Numbers

In the previous session we discuss about Multiplying Mixed Numbers and now today we will discuss about How to Divide Mixed Numbers. We know that the mixed fractions are the numbers which are formed by the combination of whole number and the proper fraction. Now we will learn about how to divide mixed numbers.  Let us first take a mixed number divided by the whole number. In this situation, we will first convert the mixed fraction to improper fraction. Now to divide the improper fraction by the whole number, we will first convert the whole number to its reciprocal and then multiply the reciprocal to the improper fraction and get the quotient. Let us take the example as follows:  2 ¼ divided by 3
On converting 2 ¼ into mixed fraction, we get 9 / 4 and the reciprocal of 3 is 1/ 3.
 Now we proceed  by multiplying  9/4 by 1/3 , we get :  ( 9/ 4 ) * ( 1/3 )  = 9 / 12  = 3 / 4
 So we say that when 2 ¼ is divided by 3, we get  3 /4 Ans.
If we have a mixed fraction divided by a mixed fraction, we will convert both the mixed fractions   to improper fractions and then we write it in the form of:
 Dividend   divided by divisor = quotient
So we will convert the above expression by changing the divisor as its reciprocal and changing the  sign of division to multiplication. So it can be expressed as:
  Dividend *  ( reverse of divisor ) = quotient
 Once if the quotient is calculated, we check that if the is improper fraction, then we will express in the form of a mixed fraction, which will be the result of division.
We will learn about how to solve the Absolute Value Equations by visiting online math tutor. We can know about CBSE syllabus by visiting the site of CBSE and collecting the details.

Multiplying Mixed Numbers

By mixed number, we mean the number which is formed by the combination of the whole number and the improper fraction number.  We will learn about multiplying mixed numbers.  Multiplication means repetitive addition. So we say that  if the  fraction 1 ¼  is multiplied by 2, we say  it as two times addition of the fraction  number and it is mathematically expressed as  follows :
1 ¼ + 1 ¼  = 2  + ¼ + ¼  = 2  and 2/4. We can also write it as  2 ½ , by converting it into the lowest form.  So we say   that the whole numbers are added separately and the fractions are added separately. But it is not possible when we multiply a mixed fraction number with another mixed fraction number.

 In case we need to multiply two mixed fraction numbers, then we will first convert the mixed number into the improper number. For this, first the denominator is multiplied by the whole part of the number and then the numerator is added to it.  Once the two improper fraction numbers are   to be multiplied, we say that numerator is multiplied by the numerator and the denominator is multiplied by the denominator.  The result is the product of the two numbers. Now we will convert into the lowest form and then we check if the product is in the proper fraction or improper fraction. Thus we convert the result into mixed fraction, if the resultant fraction is improper; else the fraction is the resultant fraction.
 In order to learn more about the Difference of Cubes, which is the part of math grade 8 can be found online to get the tips about the subject.  Central   education board includes many such interesting topics in the curriculum of math to make the study of mathematics interesting. In the next session we will discuss about How to Divide Mixed Numbers. 

Dividing Integers

 In today's session we are going to discuss about Dividing Integers. Integers are the numbers which consist of the series of all the positive numbers and it extends in the positive and the negative direction. So the list of the numbers is uncountable and the numbers are infinite in number. So we say it extends from positive infinite to negative infinite number.   We know that we can perform all the mathematical operations on the integers. When we want to learn Dividing Integers, we say that what will be the result when one of the integers is divisible by another integer. First we say that the  closure property  does not hold true for the  integers, it means that  if one of the integer is divided by another integer, then we say that  the result is not necessary an integer. Now we also say that if any integer is divided by 1, then we say that the result is also the same integer.
It can be shown as follows: -5 / 1 = -5
Also 9 / 1 = 9
Thus if we have any integer a, then a / 1 = a is the answer.
 Also remember that if the positive integer is divided by the positive integer, then the result is also a positive number. In the same way if we divide any positive number by a negative number, then we say that the result is a negative number.  We come across the third situation when we have a negative number divided by a negative number, then we get the result as a positive number.  So we conclude:
 Positive  / positive  = positive
Positive  / negative  = negative
Negative / Positive = negative
Negative / negative  = Positive
In order to learn how to find Average Weight, we can visit online tutor math. We also have ICSE Textbooks For Class 12 available on web link and in next session we will discuss about Multiplying Mixed Numbers.

Line of Best Fit

A line which passes through the center of group of data points that points are plotted on a scatter plot is known as line of best fit. Scatter plots are used to describe the results of assembly data on two variables and line of best fit is used to calculate whether these two variables are correlated or not. There are many methods for determining the line of best fit:
Line of Best Fit is a mathematical tool which is said to be the least squares method. It is also used in the regression analysis, in the statistical calculation it is an input key such as the sum of squares.
Now we will see line of best fit or least square method:
The lines of best fit are used to display the relationship between two variables:
We need to follow some steps for finding the line of best fit or in least square method, the steps are shown below:
Step 1: For finding the line of best fit first we find the mean of the ‘x’ values and the mean of ‘y’ values.
Step 2: Then after we put the sum of the squares of the x – values in expression.
Step 3: Then after putting the sum of the squares of the x – values we multiply it by its corresponding y – values.
Step 4: After that we find the slope of the line.
And the formula for finding the slope of the line is given as:

   m = ∑ UV – (∑U) (∑V)
                           n
          ∑U² – (∑U²)
                     N
Where, ‘n’ represents the total number of data points and ‘m’ is the slope of the line.
Step 5: Now put the y – intercept of the line with the help of formula:

        b = y’ – mx’;
where, the coordinates y’ and x’ both are the median of the x – and y – coordinates of the data points respectively.
Step 6: At last we use the slope and y – intercept and we get the equation of the line.
z score calculator is a mathematical tool which makes the calculation easy and fast, those who don’t know anything can also use it very easily it is also given in ICSE class 9 books and in the next session we will discuss about Dividing Integers.