All About Numbers

Everyone knows that there are five senses – sight, hearing, touch, taste and smell.  And supposedly, if you watched the movie, there is also the sixth sense.  Well, I think that there should also be a seventh sense – number sense.  It is such an important sense.

What you need to know about numbers.

The classification for the number system.

diagram of number system(1)

Numbers can also be seen as shapes.  They can either be stick, triangle, square or rectangle numbers.

Screen Shot 2016-02-16 at 9.20.14 PM

What about representations?  How can we represent numbers?  Fractions, decimals, integers, rational numbers, irrational numbers, percentages, rates, ratios.  Most of these can be found in everyday life.

Think about this for a moment.  What if we used fractions to represent money?  Or % to represent the quantity of degrees in a temperature?  I think it would be awkward and unhelpful to do these.  The different representations are meant for specific purposes.

Let’s take a look.  It is useful to be able to know how work between the different numerical representations.  Take a look at the table below.

FRACTION*               DECIMAL               PERCENT                 RATIO**                                                                1/4                          0.25                           25%                         1:4                                                                        2/5                          0.4                             40%                        2:5

As you can see, these are all related to each other.  I must point out that a fraction is a comparison of the # of parts to the whole.  So in essence, it is also a type of ratio.  We must be careful to also remember that ratios can compare part to part.  In the instance of a recipe requiring 2 eggs to 3 cups of flour, the ratio of eggs to flour is 2:3.  However, if the total # of parts that make up the recipe is say, 10 parts, then ratio of eggs to the whole recipe becomes 2:10 or 1:5.

It takes more than just being able to convert from one numerical representation to another to have good number sense.

 

 

 

 

 

 

 

 

 

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