Different kinds of graph

Lets learn kinds of graph below. We have learn t what is a bar graph a few days back.

Look below for the kinds of graph

Kind 1: Pictograph.

Kind 2: Bar graph.

Kind 3: Line graph.

Kind 4: Scatter plot.

These are some important graphs in mathematics, we will learn

Absolute values - Inequation and complex number

The absolute value of an integer is the numerical value of  the integer regardless of its sign .the absolute value of any integer say , a is denoted by |a|.On the number line the absolute value of an integer is regarded as the distance from  a point irrespective of its sign. The absolute value of a integer is always positive .
Some Absolute value examples are |-5| = 15 , |13|= 13.

Complex number

Absolute value inequality
To understand absolute value inequality , we will take few examples.

Example1 : |3x| ≤ 6
To  solve absolute inequality , here  we will use the absolute inequality results
|x|≤ a  =>  -a ≤  x ≤  a

=>  |3x|≤ 6
=>  -6 ≤  3x ≤ 6
=> Divide both sides by 3, we have
=>  -2 ≤  x ≤  2

Absolute value of complex number.

If a , b are two real number , then a number  a+ ib is  called as complex number.

Real and imaginary part of complex number : if z = a+ib  is a complex number , then a is called the real part of z and b is known as the imaginary part  of z . The real part of z is denoted by Re(z) and imaginary part is denoted by Im(Z).

Complex Number

The plane in which we represent a  complex number  geometrically  is known  as complex plane or argand plane or the Gaussian plane The point Z plotted on the argand plane is called the argand diagram.The length of the line segmemt 0z is called the absolute  of  complex number z and is denoted by |z|.thus |z|=√x²+y ²

= √(Re(z))²+(Im(z))²  In the above given figure z = 3+ 3i , so absolute of z , |z| = √3²+3 ²

=√18 = 3√2

Absolute value equations and inequalities

Now let us solve absolute value equations

Example1: Solve absolute value equation|x+ 5|= 4

Solution : For solving absolute value equations we will consider two cases

=> x + 5 = 4 or x + 5  = -4

=> x= -1 or x =-9 ans

Example 2: Solve the absolute inequality |x-2| ≥ 5

Solution : For solving absolute inequality , we will use the result

|x-a|≥ r => x ≤ a-r  or x ≥ a+r

=> |x-2| ≥ 5 => x ≤ 2-5  or x ≥ 2+5

=> X ≤ 3  or x ≥ 7

=> X ∈ ( -∞ , -3] or x ∈ [ 7 ,∞)

The solution set  of absolute inequality  is ( -∞ , -3] ∪ [ 7 ,∞)

Adding Fractions

Hello friends, in today's post we will study the concept of adding fractions. There are two types of fractions: like fractions and unlike fractions and the method for adding both is different. Below are the ways shown:

• Adding fractions with like denominators
• Adding fractions with unlike denominators

While adding like fractions, simple addition is done by adding the numerators alone. On the other when we adding unlike fractions, first we need to find out the lcm and then take a common denominator and then addition should be performed.

For more help, get it from online. You can also avail to free algebra tutoring as well.

Do post your comments.

A learning on Equivalent Fractions

Moving further with fractions learning, let's understand the concept of equivalent fractions in today's post. As mentioned earlier fractions are nothing but rational numbers having a numerator and a denominator. Now let's understand what are equivalent fractions.

Two fractions are equivalent when the values of both are similar after simplification. As for example there are two fractions given: 3/4 and 9/16. Fist step is simplifying fractions: 9/16 = 3/4. Therefore, both the fractions are equivalent fractions. Thus, small or large any fractions can be examined in this way whether they are equivalent fractions or not.

For more help connect to an online tutor and avail your help. Not just fractions but you can avail to geometry tutoring and trigonometry tutoring as well.

Next time, we will learn some other concept of fractions. Till then, enjoy learning this concept. Also do comeback with your feedback.

Learn how to subtract fractions with me

Let's start today's learning with fractions and specifically studying the area of how to subtract fractions. To start with it, we should understand what is a fraction? In simple words, Fraction is a rational number having a numerator and a denominator. As for example: 2/4, 5/8, 8/9 and so on.

Now moving on to subtracting fractions, when the denominators are similar subtraction with fraction is very easy. All you need to do is take the denominator as common and subtract the numerators. But subtracting fractions having different denominators has a slightly different method. At first the LCM of both the denominators has to be found out and then taking a common denominator for both the fractions, the subtraction should be performed.

With mixed fractions, first it has to be converted to an improper fraction and then similar way the fractions should be subtracted. For more help in this topic one can also avail to online help. One can connect with a free math tutor online tutor and learn the subject with one on one conversation.

Next session we will move on at learning some other concepts of fractions. Till then enjoy this session, do practice problems and improve your knowledge over fractions.

Useful math tips

Guys looking at the topic i am sure you have an idea what this post would be of, right. Look for math riddles with answers online, The tips that i share today will help you complete your math project on time.

Firstly you need to understand what you are suppose to do or what is the requirement of the problem. You need to understand what property of mathematics is needed to solve the problem.

Concentrate more on the problem and start working on different methods to solve the problem.

Be a good listener, understand the steps your teacher teaches you in school.

You need to work accordingly as per instructed.

Put your steps clearly and one after the other which will not lead to any confusion to your teacher.

Learn the mathematics symbols carefully such as multiplication, division, greater than, less than sign in math and many more.

Guys these steps are the basics to work on mathematics.

12th grade math topics in geometry

Friends today i want to share a very useful information with you guys, i.e. 12th grade math topics in geometry. I will discuss what are the topics that will tell you the uses of geometry below.

Topics in geometry:-

* Logical reasoning
* Geometric proofs
* Euclidean/non-Euclidean geometries
* Formal/informal proofs
* Conditional statements
* Pythagorean Theorem
* Intersection of a plane with 3-d figures
* Congruence, similarity, triangle inequality theorem
* Properties of quadrilaterals, circles, parallel lines cut by a transversal
* Angles of triangles and polygons
* Basic constructions
* Triangle congruence relationships
* Similarity properties and transformations, trigonometric ratios, Pythagorean triples
* Coordinate geometry
* Special right triangles
* Properties of inscribed/circumscribed polygons of circles
* Rotations, translations, reflections
* Planar cross-sections; perpendicular lines/planes
* Effect of rigid motions on figures, isosceles triangle theorem; polyhedra
* Parabolic functions (vertex, axis of symmetry)
* Compound loci in the coordinate plane

I will come up again with some more interesting topic related to 12th grade algebra questions and answers are you guys ready for it???