what is a composite number

Introduction:
What is a composite number is a positive integer which is divisible by other number and by itself. When n>0 is an integer , 1composite number is also having more divisors in operation of arithmetic and l.c.m.

Types of Composite Numbers
A composite number with even number of prime factors can distinguish with composite number with odd number of prime factors in real time applications.

1. Example for semi prime number:
Express the following numbers as product of semi prime numbers 6

Solution:
6 = 2 × 3 (2 and 3 are semi prime numbers)

2. Example for spheric prime number:
Express the following numbers as product of spheric prime numbers 8

solution:
8=2×2×2 ( here 2 is spheric number) This can also help us on percent difference formula

The first 105 composite are
4, 6, 8, 9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48, 49,50,51,52,54,55,56,57,58,60,62,63,64,65,66,68,69,70,72,74,75,76,77,78,80,81,82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95,96,98,99,100,102,104,105,106,108,110,111,112,114,115, 116,117,118,119,120,121,122,123, 124, 125,126,128,129, 130,132,133,134,135,136,138,140.

Above number shown is a composite numbers example all numbers shown above is a divided by two divisors.some of composite numbers which are

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Identity Property of Addition

Introduction of identity property of addition:

In this section let me help you on identity property of addition. Addition and multiplications are two basic arithmetic processes in mathematics. Addition produce a sum of given numbers where as multiplication produce a produce of given numbers. Identity property of addition and multiplication is the process of producing a result as a same number itself. The element used for this identity property is called identity element. This element is different for addition and multiplication.
Identity Property of Addition and Multiplication:

Statement of identity property of addition:

When a number of any type or variable is added with identity element of addition gives the same number or variables as result. An identity element used for addition is 0.

Example: 0 + 7 = 7 and u + 0 =u. This can also help us on variables in science

Statement of identity property of multiplication:

When a number of any type or variable is multiplied with identity element of multiplication gives the same number or variable as result. An identity element used for multiplication is 1.

Example: 7 × 1 = 7 and u × 1 =u

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Note on Meters to Centimeters

Introduction to meters to centimeters:

In this session let me help you on meters and centimeters.The meter is the basic unit in mathematics. The meter is used for calculating the distance. The symbol of meter is ‘m’.

The kilo meter is a unit of distance end to end in a metric system. It is the usually used measurement unit for expressing distances between geographical places in most of the world

One kilometer = 1000 meter

One meter = 1 * 100 centimeters

One kilometer = 1* 100000 centimeters

Examples for Meters to Centimeters:

This can also help us on mixtures

Example 1:

The Scale A 25 millimeter in one hour. The second scale B 8 millimeters in one ground. What is the difference between the Scale A and B?

Solution:

Here scale A and scale B having the speed in unusual units. Here we need to convert the speed in the equal unit and find the difference between Scale A and Scale B.

Scale A = one millimeter = 0.1 centimeter

So 25 millimeter = 25 * 0.1 = 2.5 centimeter

Scale B = 8 millimeter

Difference = 2.5 - 0.8 = 1.7 centimeter

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Factoring Polynomials Calculator

Introduction to learn factor polynomials calculator:

In this let me help you on how to learn factoring polynomials Calculator is used to solve different types of problems. It is a web-based tool designed to solve different problems.Learning factor polynomials through calculators is simple.

Factor polynomials calculator are used to understand the polynomials factorization. Given expression can be factorized by using the greatest common factor. Let us discuss about the learn factor polynomials calculator.

Steps to Learn Factor Polynomials Calculator:

This will also help us on factoring trinomials calculator

The Steps to learn factor polynomials are as follows:

* Given expression can be arranged in the order of powers.

* Expression can be in the form of standard ax2 + bx + c = 0.

* The expression should be factorized.

* Solve the given terms.

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Differential Algebraic Equation

In this section let me help you on differential algebraic equation. keep reading and leave your comments. An equation is the combination of two expressions separated by an equal sign. In the equation the both sides of the equal sign has the same value.

For example,

2 + 18 = 4 * 5

Types of Equations

Fundamentals and types of Equations are :

Transcendental Equations

If f(x) is a polynomial in x, then f(x) = 0 is an algebraic equation.

Example; x7 + 5x - 2 = 0.

If f(x) contains algebraic and non algebraic functions namely exponential, logarithmic, trigonometric and inverse trigonometric functions then f(x) = 0 is called transcendental equation.

Example; x + log x + sin x=0. this will also help us on second order differential equations

Transcendental equations may have no root, exactly one root or more than one root.

Algebraic Equations:

Fundamental theorem on Algebra.

Every algebraic equation of degree n ≥ 1 has a root real or complex.

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what are real numbers

In this section let me help you on what are real numbers with the following introduction.
Introduction

The sets of numbers which every student must remember are:
The set of natural numbers, The set of whole numbers, The set of integers, The set of rational numbers, The set of irrational numbers, Set of Real Numbers, Consecutive integers, Factor, Common factor, Prime numbers, Composite number, Prime factors, Numbers prime to each other, Rule of Divisibility, Fraction, Types of fractions, Simplification of fractions. This can also help us on names of polygons.

Rational Numbers
The rational numbers can be expressed as terminating or recurring decimals.
Decimal fraction has denominator as 10 or a power of 10.
A recurring decimal is denoted by placing dots or a bar over recurring digits.

This is only a brief introduction, keep reading may be in the next lesson let me help you on radius of a circle

Help on Linear Equation

Linear equation represent a straight line and it may be inclined or horizontal. The general format for a linear equation is as follows,

y = mx +b
where,
m = slope of the line (it is a number)

Working of a Linear Graph Solver:

once the enter button is pressed the linear solver accepts the linear equation given by the user and performs the following operations on it.

Step 1: The the given equation is y =ax+c. or x = ay +c.
Step 2: Assume first type y =ax+c. Since the given equation is a function of x, let y =f(x).
Step 3: Therefore f(x) = ax+c.
Step 4: It substitutes various values for ‘x’ and finds the corresponding value of f(x).
Step 5: It tabulates the values as columns x & f(x). The values of x as -2, -1, 0, 1, 2, 3 and for f(x), their corresponding values. will also help on algebra regents.
Step 6: The values in the table are the co-ordinates,
Step 7: It graphs the point and then joins them to give the graph.

This is only the introduction to Linear Equation. Keep reading may be in the next lesson let me help on Trigonometric Function

Help on Substitution Method

In this lesson… let me help you on Substitution Method. Earlier we had learned about types of circle and its importance. Now let me take you through with the introduction to substitution method.

Introduction of Substitution:

The substitution method is also one of the direct parts in algebra. Here we need to substitute the values in one variable. And we need to find the value of another variable.

This also helps us in rules of logarithms.

Example of substitution method:

2x-8y=168.

y=2x.

Solution:

Step1: Here the equation one is 2x-8y=168 and equation two is y=2x.

Step 2: we know that, y value is 2x. So we need to substitute y value is equation one.

Step 3: So, 2x-8(2x) =168.

Step 4:2x-16x=168 (Now we need to find the x value)

Step 5: Therefore, 14x =168.

Step 6: 14 x =168(Now we divide using 14 on both the sides)

Step 7: So the value of x=12.

This was just an introduction to substitution method. Keep reading and may be in the section let me help you with Algebra practice test.

Note on Natural Numbers

In this lesson let me help you understand better on Natural Numbers. First let me help you understand what is all about Natural Numbers.

Definition The name natural number is given for those numbers which come naturally to us. These numbers are all positive integers from 1,2,3,4,5----up to infinity, each succeeding number is greater by its previous number by 1.These numbers are also called counting numbers.

Properties

Algebraic properties

Closure property- For addition and multiplication all natural numbers have closure property. If a and b are two natural numbers, then ( a+ b) and a x b are natural numbers.

Associative property- for all natural numbers like a, b and c a+(b+ c)=(a +b)+c and ax(b x c)=(a x b)x c

Commutatitve property-For all natural numbers (a, b ) a+ b=b+ a and ax b= b x a

Identity property-for every natural number a, a+0=a and ax1=a

Distributive property- Multiplication is done before addition

Example- ax (b +c) = (a x b)+ (a x c)

However, the difference or the ratio of two natural numbers is not always a natural number. For example, 6-4 and 12/4 are natural numbers, but 4-6 and 4/12 are not.

Order

Each natural number corresponds to a position in a sequence. The natural numbers are ordered in an infinite list.

Example: -

1, 2, 3, 4, 5-----that starts at 1, but there is no ending .There is no last natural number.

This is just a brief introduction to natural numbers . Keep reading and leave your comments. May be in the next lesson let me help you go through on types of angels

Exercise on Coefficient of Algebraic Expressions

We just learned about Algebraic Expressions. Now let me hlep you with some sample exercise for you to understand better.
Exercise on Coefficient of Algebraic Expressions:
Following are the sample exercise on coefficient of algebraic expressions. Follow each of them very carfully and try to answer yourself and try to match with the answer which i am giving to you.
1. The coefficient of u in 3u² + 5u is
a) 9
b) 5
c) 3
d) 1
Answer - B) 5

2. Which of the following are like terms?
a) 3x², (2/3) x, ½ x
b) 4xyz², -7xyz, ½ xy
c) 12uv², ¾ v²u, -11v²u
d) None of the above
Answer - c) 12uv², ¾ v²u, -11v²u

1. The sum of 0.2x³ and 5x³ is
a) x³
b) 0.7x³
c) 5.2x³
d) They cannot be added
Answer - c)5.2x³
I hope you enjoyed doing this exercise.. if you still need more exercise on any topic keep reading and leave your comments. In the next lesson.. lets discuss about how to calculate triangle