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Showing posts with label integer. Show all posts
Showing posts with label integer. Show all posts

Monday, July 18, 2011

Applicable Integers

What are integers? Why are they even important? Words like integer can often times be confusing and frustrating. I have found, especially with this last semester in math class, that it is important to carry a dictionary on hand or be able to research words to learn their definition. Often times when we learn the definition of a word, we realize we already knew what it meant- we just didn't know the "official" name.

Granted, Integer is a basic term- but many people don't know it or don't remember it anymore. So, to make sure we are all on the same page I am going to use Merriam-Webster's definition:

Definition of INTEGER

1: any of the natural numbers, the negatives of these numbers, or zero
2: a complete entity 
So, as we can see here... an integer is basically a whole number or zero (ex. 0,1,2,3, etc). But this also means that integers can be negative as well... -3,-2,-1. If we put these numbers all together we could represent them using a number line.
By using number lines we can quickly visualize the total number of items we have. Say we have 3 dollars. We want to put exactly $3.00 of gas into our car. We put the pump into the car and pull the trigger and two or three seconds later the pump suddenly shows we owe $6.00- we went from one full end of the scale to the other. This is revealed in the following number line.
When you study this number line you can see that a positive $3.00 is shown on one side of the number line and a negative on the opposite. If we were to count all the numbers on this scale we would come up with our absolute value of 6, or in this specific case $6.00 of total gas cost.  We can also see that we had $3.00, but now we are negative $3.00- in other words, we better start digging for change or use a card! 

So, although the words we learned today were very mathematical (integer, absolute value, number line, etc.) there's a good chance most of us knew the basic concept behind these terms. Also we likely  use these concepts repeatedly throughout each day whether consciously or unconsciously, pretty amazing! I will end this post with a cartoon I made for my other math class, I hope you enjoy it!