Saturday, July 31, 2010
Factor of 32
Problem 1:
Find the factor tree of 32.
Solution:
Given, number 32.
We need to find the factors step by step....
Step 1: Write the number that we need to find the factors
32
Step 2: Then plot two branches and write the number as multiple of other two numbers.
32
/ \
2 16
Step 3: Continue this process until the factors are prime.
32
/ \
2 16
/ \ / \
1 2 2 8
/ \ / \
1 2 2 4
/ \
2 2
2 is prime number. We can’t divide it further.
This is the factor tree of 32. We can also write the factors of 32 by using the factor tree.
Guys look at the problem above and now you guys work on more factor of 40 and i will come back to you guys shortly with another informative topic.
Friday, July 23, 2010
Area of a triangle
Here guys how are you? The topic for the day is area of a triangle. We just learn t how to find the area of a circle. now lets see how to calculate the area of a triangle. Look for the problem below.
Problem No. 1
Find area of the triangle with a base of 4cm and height of 6cm?
Solution:
Area of the triangle(A) = ½ b*h
= [1/2] *4 *6
= [1/2] *24
Area =12cm2
Look at the diagram above which is a perfect example of an equilateral triangle. Work on more area of triangle problems to increase your knowledge on this topic.
Monday, July 19, 2010
Volume of a cube
Definition of cube:- It is a solid figure whose length, width and height are all equal. The side length of cube is called its volume.
The volume of the cube is given by the following formula.
V= a*a*a
V=a3 cubic units.
Here V is the volume of the cube, a is the side or the edge of the cube.
I will have many gk questions in my next post check on those post and improve your knowledge on math...
Friday, July 16, 2010
Circle Properties
I have the definition of circle already discussed with you earlier.
Today i am here to discuss on circle and circle properties. Look below for the properties of circle.
* The arc of a circle contains two points on the circle and all of the points on the circle that lie between those two points.
* Chord is a segment and having end points which is on a circle.
* Diameter of circle: Length of the diameter = 2 × length of the radius.
* Circumference of a Circle: Circumference = 3 × diameter (approx.).
These are the properties of learning circles.
An easy concept right....Well friends i will come back again with some more interesting concept in my next post. Tangent circles would be a good topic right..well watch out for it.......
Monday, July 12, 2010
Mathematics Quiz
Well, do you guys like Quiz, have you tried answering some questions asked in a quiz? This is the best method to increase your knowledge in mathematics. Look for the quiz questions below and start answering them.
Question No 1:-
Determine the pair of ratios which forms a proportion.
A )
B )
C )
D )
Question No. 2:-
Identify the pair of proportions that are equivalent to the ratio
A )
B )
C )
D ) None of the above
Question No.3:-
Out of the options given, check which pair of ratios does not form a proportion.
A )
B )
C )
D )
Question No 4:-
Which ratio is greater -- 21:32 or 73:32?
Above mentioned questions are put up just for you to work on it. Try finding the answers for it. If you are unable to find the answers look for it below. But first try working on it.
Answers:-
Solution 1: - The right answer is Option A
Solution 2: - The right answer is Option A
Solution 3: - The right answer is Option D
Solution 4: - Therefore, 73:32 is greater than 21:32.
Were you able to find answers :-) . Work on it and let me know your views on this post.
Friday, July 9, 2010
Geometrical Objects
Point
A point is the most fundamental object in geometry. It is represented by a dot and named by a capital letter. A point represents position only; it has zero size
Line
A line can be thought of as connected set of infinitely many points. It extends infinitely far in two opposite directions. A line has infinite length, zero width, and zero height. Any two points on the line name it. The symbol ↔written on top of two letters is used to denote that line. A line may also be named by one small letter
Collinear points
Points that are lie on the same line are called collinear points. If there is no line on which all of the points lie, then they are non-collinear points.
Plane
A plane has an infinite set of points forming a connected flat surface extending infinitely far in all directions. A plane has infinite length, width, and zero height (or thickness). It is usually represented in drawings by a four-sided. A single capital letter is used to denote a plane. The word plane is written with the letter so as not to be confused with a point
Postulates:
Postulate 1: A line contains at least two points.
Postulate 2: A plane has at least three non-collinear points with it.
Postulate 3: If we cross through any two points, there is exactly one line.
Postulate 4: If we cross through any three non-collinear points, there is exactly one plane.
Postulate 5: If two points lie in a plane, then the line joining them lies in that plane.
Postulate 6: If two planes intersect with each other, then their intersection is a line.
Keep reading and leave your comments.
Wednesday, July 7, 2010
Simple integers division
In my previous post i gave you the introduction on Integers, and also the need to integers. Today lets learn more on integers. Lets solve a few problems on division integers. This post will help you solve any math problems in seconds. Watch out....
Problem No. 1:-
The given integers are 15 and 3. Find the division of given integers.
Solution:
Integers are 15 and 3
It can be written as,
3 ) 15 (5
15
______
0
______
This division has quotient only.
Ans:5
Problem No.2 with a reminder.
Find the division of the integers 25 and 3.
Solution:
Given integers are 25 and 3.
Then the process is,
3 ) 25 ( 8
24
______
1
______
The quotient is 8 and the remainder is 1.
These were the two different types of division integers out of which one had zero as a reminder and the other is with a reminder one. Go through them and give me your comments on this.
Thursday, July 1, 2010
Integers
Introduction of integers:- Integers are set of positive numbers and negative numbers along with zero. They are also called as directed numbers, Each directed number is descreibed in terms of its numerical value an the direction. These numbers are used whenever opposites are involved.
On the number line, 0 is the origin or the starting point. All the natural numbers are to the right of 0. Have you looked at the number line. Look and observe it.
Need for Integers:- Why do you think integers are used? For example when you measure the height of a tree, it is always taken from ground level or the surface of the earth to its top. Here the ground level may be considered as 0, that is the origin. Same as the number line 0 is the origin(mentioned above). Therefore to measure them we need integers.
To distinguish numbers on the sides of 0(either above or below 0 and to the right and left of 0) opposite signs (+positive and -negative) are used. The positive numbers are mentioned in the right of the origin or zero and the negative numbers are mentioned to the left of the origin or zero.
To understand the concept better look at the image above, this gives you a clear picture on number line. Let me know you comments on this. Was this post useful? Feel free to put your views.