Roman number

This is a continuous discussion on numeral most commonly used we have already worked on this earlier too it is Roman numeral system. You remember right.... lets work on it with more details.

Hundreds years back Roman Empire had used different symbols for counting numbers which are being used even today. This number system is called Roman numeral number system. Roman numeral number system is formed by using only seven symbols that is given below.

Hindu Arabic Values	1	5	10	50	100	500	1000
Roman Numerals	1	V	X	L	C	D	M

Look at the picture of the clock above, it has roman numerals in it. It is normally used in many clocks worldwide. I have a simple problem which will help you in addition of the roman numbers or numerals.

Addition Rule: When a smaller number is written on the right of a bigger number, the smaller number is added to the bigger number.

Examples: V111 = 5 + 1 + 1+1 = 8

XX11 = 10 + 10 + 1 + 1 = 23

CX X = 100 +10 + 10 = 120

With many more such examples i will come back. Guys practice as much as you can irrespective to any subject and topic. You never know knowledge from study will make wonders....

Also you can follow my blogs for Statistics help online. I hope this was useful.

Angle of Intersection between Curves Solved Problems

After learning on angles, triangles and many more geometrical shapes, i felt we should go to the depth of it i mean lets learn more deep of geometry. Lets Solved example on Angle of Intersection between Curves this is the topic for the day. Look into it below and give me your comments. So lets begin the journey.........


Know what is angle before you start understanding this concept. What is intersecting firstly? Can anybody tell me that?

Well, When two lines meet each other at single point they are said to be intersecting each other. Look below for Solving Angle of Intersection between Curves and work on them.

Find the intersection point of curves 3x + 4y = 18 and 2x - 4y = - 8

Solution:

Let the two curves be 3x + 4y = 18 and 2x - 4y = - 8

Solving above two equations we get,

3x + 4y = 18

2x - 4y = - 8

5x = 10 By adding above equations

x = 10/5 = 2

x = 2

3 ( 2 ) + 4y = 18

6 + 4y = 18

4y = 18 - 6 = 12

y = 12/4

y = 3

Therefore, the intersection point of curves are x = 2 and y = 3.

We will work on more topics and enjoy these concept....

Also you can follow my blogs for online statistics tutor. I hope this was useful.

Help on Surds

Guys, the topic for the day is a bit different compared to that i do everyday. It is called Surds. First i will give you a brief information on what are surds and also discuss on how to add surds. I have explained regarding how to do surds in my previous post, check that once and increase your knowledge on surds.

Definition of Surd:- Surds are numbers which are left in the form of Square root. An irrational root of a positive rational number is called a surd. The reason for leaving them behind as surd is because in decimal form they go on forever and never end.

We leave surds in the form of decimal as they go on continuing or go on forever, this makes it difficult to write.

How to add Surds.

Addition of surds can be done only if the surds are of the same order. The radicals should also be the same.

Example of addition of surds:-

√5+√3=√8

There are many more concepts to be discussed on surds math problems which i will do it in every post coming up. Give me your views on this.

Also you can follow my blogs for free algebra 1 help. I hope this was useful.

Polynomials

We have worked on for monomials in my previous post, today lets work on the introduction of Polynomials. We will learn on how to solve polynomials in my next post. This is a informative topic, and i am sure you will enjoy working on it as well.

Introduction of Polynomials:-

Its an algebraic expression which the variables have only non negative powers using the operations of addition, subtraction, multiplication.

Addition and subtraction of two polynomials mean like terms. Multiplication and division also can be performed.

There are various methods of factorizing a polynomial. They are,

1. Factorization by dividing the expression by the HCF of the terms of

the given expression.

2. Factorization by grouping the terms of the expression.

3. Factorization using identities.

Example of Polynomials are as mentioned below.

P(x) =9x⁵ + 7x⁴ + 2x³ + 6x² + 6x + 1

G(x) =19x + 45

I will work more on this in my next post, watch for more information on polynomials. Give me your feedback on this post as well.

Also you can follow my blogs for Precalculus Problems. I hope this was useful.

Addition and subtraction of monomials

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We been doing additional, subtraction right, today lets try the same on monomials. Lets solve a few problem of addition and subtraction of monomials. Do you remember my last post on monomials? I had given you the definition of a monomials.

Monomials:- In algebra a monomial contains combination of numbers, variable and exponents. For more details on monomials, you can go through my last post, as i have given you the definition of monomials in it. The algebraic terms are separated by add sign or sub sign. Eg:- 4xy, -3y etc...

Now lets use addition and subtraction to solve a monomial problem.

When monomial have the same variable and the same exponent, they are called as like term. Addition and subtraction of monomials are done by combining this like term. Lets look at the example below.
Adding monomials:
Problem 1: Add the given monomials terms by using the steps, (- 4ab) + (6ab)
Solution:
Step 1: Write the given terms for monomials,
(- 4ab) + (6ab)
Step 2: By using the signs we have to add the co-efficient.
2ab
This is the required solution for the addition of monomials.
Subtracting monomials:
Problem 2: Subtract the given monomials terms by using the steps, (- 5a) - (- 3a)
Solution:
Step 1: Write the given terms for monomials,
(- 5a) - (- 3a)
Step 2: By using the signs we have to subtract the co-efficient.
-2a
This covers up addition and subtraction of monomials, in my next post i will give you details on division and multiplication. I would remind you again...Friends, please your comments on this
Also you can follow my blogs for Pre calculus Tutorials. I hope this was useful.

Rational Numbers

We are familiar with the word number, we use it more than a hundred times in our day to day life, lets learn on different types of number that is rational number. Have you heard of the term rational number?

Below you will find the definition of the term rational number and following will be an example of a rational number.

Definition of a Rational number:- Numbers that are expressed in fraction is called as a rational number. Any number which can be expressed as quotient of two integers is called as rational number. The denominator is not equal to zero. Eg:- x/y here y is not equal to zero, it may be equal to 1. Every integers is a rational number.

Let us solve a problem on rational number below.

Problem No1:

Find a rational number between two rational numbers

To obtain the required number, add numerators and denominators as shown below:

Ans:

Here we come to an end of this informative post on rational numbers, i will come up with many more interesting topic in future. Let me know how interesting you found this post. :-)

Solved problem on prime factorization

We been discussing on definitions and examples in most of my posts, today lets do something different. Today lets solve some problems on prime factorization.

1) Solve the prime factorization of 147

Answer:

3x3x7= 3x7²

2) Solve the prime factorization of 60

Answer: 2 × 3 × 5

3) Solve the prime factorization of 147.

Answer: 3 ×7 × 7 = 3 × 7²

^{4) Solve the prime factorization of 78}

^{Answer: 2} × ³ × ¹³

^{5) Solve the prime factorization of 330.}

Answer: 2 × 3 × 5 × 11

We have learn t how to factorize using small numbers and we have a few solved problems on prime factorization. This is a very useful topic for 6th and 7th grade, let me know your comments.