Sphere

Guys how many of you like geometry? Can any body tell me who is the father of geometry? There are many unlimited topics which i have been working on geometry each and every day. This will tell you how important is studying geometry.

Do you know what is the formula to find the circumference of a Sphere this is the topic of the day guys....

To learn the circumference of the sphere, you will have to know the different parts of the circle better. The circumference of a sphere is the space around a circle, now look for the formula to find the circumference of a sphere below.

The formula for circumference of sphere is 2 * π *Radius.

Now will you be able to find the circumference of a sphere if your teachers ask you to do so..Yes, you will be able to but practice more and more.

Also you can follow my blogs for pre algebra. I hope this was useful.

Composite numbers

We work on numbers so far, lets learn what is a composite number. A very easy and a basic mathematics concept and as interesting as we worked on what is a whole number.

What is a Composite number :- Composite number is a positive integer which is divisible by other number and by itself.Composite numbers have factors other than1and itself Except the 25 prime numbers between 1 to 100 all the other numbers are composite numbers.

I have covered up with numbers such as prime numbers, whole numbers and now with composite numbers. Do you have any other topics to be covered let me know that.

I just want to know if my grade 6 math friends need any help in any topics?

Also you can follow my blogs for math practice test. I hope this was useful.

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.