Friday, September 16, 2011

Computer or English Language/mixed numbers or improper fractions

The last two days I have spent trying to put higher Math symbols into my blog easily.
How difficult could this be I thought.  I found a free down lode called Math Type.  
I did not take me much time to learn how to create the equations that I wanted.  Then
the problems began.

How do I get these equations to my blog?

Do I just move them to my desk top, open my 
blog, drag and drop?


If only it was that easy.   Here is where I ran into HTML, SEO, TeXLook.eqp,
Symbol palette, Template palette, Garamond and Times News Roman.  Although,
a couple of these were familiar I felt like I was swimming in a an ocean I had
never learned about.

It is up to us to understand the new technologies, but where do I start.  It was
recommended to me to get a book called "Blogging for Dummies".  For as much
as Math is a language that is easy for me to understand, this language of
computers still gives me a start.  I have great friends that are geeks when it comes
to this stuff.  Soon it will be second nature, but at the moment, like many of
you, I struggle.


But this I can help you with

MIXED NUMBERS TO IMPROPER FRACTIONS

One of the first concepts we learn in fractions, is changing a mixed number into
improper fraction.

          Example:   is read as 2 and ¾ = 2 + ¾
                        
                     The Process is Simple 4 x 2 = 8 and 8 + 3 = 11  therefore 11/4


                     But why!


Here is why. We need to remember that 1 = 4/4, so 2 = 8/4 or 8 ÷ 4 = 2

                    Now 8/4 + 3/4 = 11/4


Lets try another: 6⅔ = what mixed number?

                                           3 x 6 = 18 and 18 + 2 = 20, therefore 20/3

What I cannot stress enough is reading the number; 6⅔ = 6 + ⅔
The reason I mention the last item in bold is this. When the "+" is placed
between the 6 and the ⅔ students seem to think this will change the
process.  But since both of the statements are equal then the process is
the same and the result is the same.

As a matter of fact, when this concept is first introduced, it should be
shown with and without the "+" sign.  My reason is simple.  Soon the
student will be faced with the following:
                              
                        6 – ⅔ = ?

All we have to do is 3 x 6 = 18 and 18 – 2 = 16/3


Instead of adding 2 we subtract 2:  The sign tells us to do.

Now we look forward to Algebra:   x + ½ combine

We know that the x and the ½ cannot be added to make a larger number,
because we do not know what x is.  However, that does not stop us from
rewriting the sum under one denominator using the same simple process
we have used for years.


                   2 ⋄ x = 2x + 1 = 2x + 1/2


The phrase 2x + 1 is now over one denominator, 2.

Now if you were given different values of x, it would change the value of
the phrase

                      x's value                       phrases value
                     0                                      ½
    
                     1                                      3/2

                     7                                     15/2


                   –3                                    –5/2



      Example:   ⅓ – y needs to be combined into one fraction.
                 3 ⋄ (–y) = –3y and –3y + 1/3

Same process, we now have a mixed number, that in Algebra helps us,
and we are not miles out of our comfort zone.  In all cases it is important
that we read what it says, do not stare at it and hope to understand.
     
                  
         

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