THE BEAUTY OF MATHEMATICS 5

Another photo depicting the use of mathematics in architecture.

12-POINT PUZZLE

Your goal is to connect the dots using 5 straight lines only.

HAPPY HOLIDAYS

A holiday greetings from REALM OF MATHEMATICS

THE BEAUTY OF MATHEMATICS 4

This is the fourth photo depicting the beauty and use of mathematics on famous places.

THE BEAUTY OF MATHEMATICS 3

This is the third photo depicting the beauty and use of mathematics on famous places.

THE BEAUTY OF MATHEMATICS 2

This is the second photo depicting the beauty of mathematics in our surroundings.

THE BEAUTY OF MATHEMATICS 1

This is the first of the series of photos appreciating math in the world.

THE MATHEMATICS OF LIFE

This is the reality of life.

HAPPY 40th ANNIVERSARY RUBIKS CUBE

This day is the 40th anniversary of the Rubik's cube, which was first introduced in Hungary.

LEARN AT MATHEMATICS REALM

This is the extension of the mathematics realm blog. It contains math lessons, tutorials, downloads, etc.

SYMMETRY AND TRANSFORMATION

A work of art depicting symmetry and transformation.

HAPPY HOLIDAYS 2013!

A greetings from Realm of Mathematics and Learn at Mathematics Realm!

BLOG ACTION DAY 2013

I have already registered. COme and join us!

MATH ARTS 4

Another figure being formed by transformation.

MATH QUOTES 1

A very famous quotation about math.

MULTIPLES OF 9 PATTERN

A very simple pattern found on the multiples of 9.

MATH ARTS 3

Another figure being formed from symmetrically rotated and transformed picture of a famous mall in Jakarta.

NUMBER PUZZLE 2

A very simple number puzzle you would definitely like. One is explained well and the other is given for you to try. Good luck!

MATH ARTS 2

This images are created from a symmetrically rotated and transformed picture.

MATH ARTS 1

This is a simple art created by using circles of different sizes and colors.

NUMBER PUZZLE

This is a simple puzzle involving a pattern of numbers. Try to decipher the pattern and find the missing numbers.

BIG NUMBER PUZZLE

This is a simple puzzle of creating the largest possible number using the indicated numbers and symbols

CUBE COUNTING 2

This is the second part of the cube counting series. Just count the number of cubes being used in the figure.

LEARN AT MATHEMATICS REALM

This is an extension of the mathematics realm blog. It provides information, lessons and tutorials on specific topics from different areas of mathematics.

HOLY WEEK 2013

A simple mathematical statement that means a lot.

BIBLICAL NUMBERS

This are the first ten biblical numbers. What do they represent?

CONNECTING DOTS WITH LINES

This is one of the most common math puzzles. It involves connecting dots using a specified number of lines and following some conditions

A MAN IS LIKE A FRACTION

A math quotation to think about.

TRIANGLE COUNT

A simple problem that tests your patience and accuracy in counting.

MATH CLOCK

A clock showing different expressions from different areas of mathematics

MULTIPLYING NUMBERS BY 5

A technique in getting the product of any number and 5

CURVES FORMED FROM STRAIGHT LINES

These are curves approximated by the series of straight lines. You can test your creativity by forming a mathematical artwork using the curves.

HOW TO DIVIDE A SQUARE INTO FOUR EQUAL PARTS

These are some of the ways on how to get four equal parts in a square.

CUBE COUNTING

Count the number of smaller cubes in each figure.

SQUARING NUMBERS NEAR 100 (Case 2)

Second part of two cases. This is the easiest way to square a number near and greater than 100.

SQUARING NUMBERS NEAR 100 (Case 1)

First part of two cases. This is the easiest way to square a number near and less than 100.

MULTIPLYING NUMBERS BY USING LINES

The easiest way of multiplying numbers using parallel and intersecting lines.

THE COIN TRIANGLE PROBLEM

Rearrange the coin in a reversed triangular form.

THE VALUE OF MONEY

The value and limitations of money.

EARTH HOUR 2012!

This is to promote for the Earth Hour 2012 on March 31, 2012. Read more for details...

MATHEMATICAL WAY OF SAYING I LOVE YOU!

A math inequality problem leading to the word i love you!.

THE MISSING COIN PROBLEM

A problem about the missing coin used in daily activities.

THE 3 CATS, 3 MICE PROBLEM

A puzzle is about cats catching mice in a day.

DIGITAL CIRCLISM

See the beauty and use of circles in different artworks. Can you guess who are in the images?

THE SIGNIFICANCE OF 40 DAYS IN THE BIBLE

This is the list of significant events in the Bible that have been done in 40 days.

BASIC MATH QUIZ PART I (Decimals and Integers)

This will test your knowledge about basic concepts in mathematics, specifically on decimals and integers.

Year 2011

Notable dates that makes year 2011 amazing and special.

MATH TALK

A simple conversation of a couple integrating math in the talk.

MULTIPLYING NUMBERS BY 11

This is the fastest and easiest way to multiply numbers by 11.

SQUARING NUMBERS ENDING IN 5

This is the easiest way to square a number ending in 5.You can actually do this in seconds only!

PARALLEL LINES

Comparison between the definition of parallel lines in Euclidean Geometry and in Non-Euclidean Geometry.

MAZES

Aside from the usual form of mazes that we know, there are mazes that are computer generated, which also resemble some common objects or people.

DAYS OF THE MONTHS

This uses body parts to easily remember the exact number of days for every month of the year.

HOW FAR IS A STORM FROM YOU

A basic computation that can easily determine the distance of a storm from your location.

THE BIBLE CODE PUZZLE

A mathematical connection on the words that can be found in the Bible.

July 12, 2012

MULTIPLYING A NUMBER BY 5


There are a lot of shortcuts and techniques in multiplying numbers, you just have to choose what is easy for you. This time, let us try to multiply numbers by 5. 

If a number is multiplied by 5, you could divide the number by 2 then multiply it by 10. This is easier because when a number is multiplied by 10, just simply append zero(0) to the number. This technique is very effective if the number being multiplied by 5 is divisible by 2.

The reason behind this technique is that 5 is the result when 10 is divided by 2 or 10/2 = 5. It means that if you multiply a number by 5, you can multiply it first by 10 then divide it by 2 or you can divide it by two then multiply by 10. The latter is easier. 

Let us use it in the following examples:

    




      The first thing to do is divide the number by 2. That is
      After that, multiply the result by 10 or simply append zero (0) on the result. That is
      Therefore, 


    



      Divide 186 by 2. 

     Multiply the result by 10.
    Therefore,

Now try these:
1. (56)(5)
2. (102)(5)
3. (258)(5)
4. (364)(5)
5. (273)(5)

July 4, 2012

CURVES FORMED FROM STRAIGHT LINES


Series of straight lines could form a curve when the edges are smoothed out. It does not actually form the curve but approximates its form. The curve being formed is usually a parabola - that is why they sometimes call it as a parabolic curve. 

Let us discover how these curves are formed from the straight lines starting with the basics. 

What you need are:
1. paper (you can have a white paper or a colored paper of your choice)
2. pencil, marker or any colored writing material
3. ruler

STEP 1: The basic curve formation starts with two lines intersecting at a point. One is vertical and the other is horizontal. The lines resembles the positive x- and y- axes of the Cartesian plane that bound the first quadrant. 
STEP 2: Put dots or marks on the lines. Make sure that they have equal intervals. You may use the a rule to determine the intervals. Make sure also that there are equal number of dots for the two lines. The dots will be paired so there will be a dot left out if the number of dots are unequal.  
STEP 3: Pair the dots by connecting them using a line. Start with the uppermost dot in the vertical line paired with the leftmost dot in the horizontal line. You may also start with the rightmost dot of the horizontal line paired with the lowermost dot of the horizontal line. Any of these would yield to the same sets of lines. 
STEP 4: Continue with the same process until you paired all of the dots
The final output is this figure. Observe that a curve is approximated by the lines.

You may also use other colors for the set of lines.
You can also try combining the figures formed above like these:   
 You can also form figures like these:
 


The above figures used perpendicular lines. You can make the curve narrower by decreasing the angle being formed by the two lines. 

Aside from the perpendicular lines, you can also use other shapes or polygons like a square or a circle. You can try using a triangle, a pentagon, a hexagon and so on. 
                      
                 
I have tried combining the figures and formed this:
You can be creative in forming figures like this using the curves. Share it here after creating one. Have fun creating your work of art!

Twitter Delicious Facebook Digg Stumbleupon Favorites More

 
$(function() { function highlight(){ $('.user.blog-author').closest('.comment-block') .css('border', '1px solid #0000FF') .css('background','FCFEA5 url("http://www.blogblog.com/1kt/transparent/white80.png")') .css('color', '#444444') .css('font-size', '12px') .css('padding', '10px'); } $(document).bind('ready scroll click', highlight); });