Wow what a week! It was a stroll down math’s hit parade… number line theory… adding fractions… primes… substituting variables… and the rules for the order of mathematical operations. The fact is we use math everyday but rarely do we think about the fact we are using math! So let’s see how we take our math skills for granted!
The other day I was in NYC. I had $7.50 in my pocket for lunch! It was the end of the week and wife’s snagged my wallet so going to the ATM was out of the question! For anyone who’s never been to New York, filling your belly on $7.50 is not an easy task!
I was in the mood for pizza. I ran into the nearest pizza place and saw that a slice of pizza costs $3.50 and a coke would run me an additional $1.50. Now I know this is going to be a stretch but bear with me… Let’s put some number line theory to work! Let’s look at 0 on the number line as being the dividing mark between contentment and starvation! If I drop into the negative side of the number line I’d go hungry. If I stay on the positive side, I’d walk away with a full belly!
Let’s begin…
Starting at + 7.50 on a number line… let’s do some math. 2 slices of pizza, because one slice wasn’t going to cut it… could be represented by the following the equation:
(2 * -3.50)
Let’s apply that to our number line.
(2 * -3.5) = -7.00 + 7.50 (our starting point) = .50
So we’re still positive… still good! BUT then I need to add the coke in.
.50 + (- 1.50) = -1.00
As you can see I’ve fallen into the negative side of the number line at -1.00. Bill goes hungry.
I know one can say do without the Coke… but I just can’t eat a slice without and icy cold soda!
Let’s look at the menu again!
Ohhh… that calzone looks good at $6.50 for a plain one (I’d have to sacrifice palette for hunger)!
Back to the number line…
(1 * -6.5) = – 6.5 + (7.50) = 1.00
Now we’re talking… still on the positive side. BUT I still need to add in that icy cold Coke (it doesn’t matter… just need one of them to swallow back food with)!
- 6.5 + (- 1.50) = -.50
Poof… I just got blewn that out of the water by .50. I’m running out of options! Let’s see what else is on the menu!
Ahhh… Garlic knots at $2.25. SO maybe I can do a bag of knots, a slice of pizza and that icy cold Coke!
-3.5 + (-2.25) + (-1.5) = -7.25 +7.25 = +.25
Now we’re talking! Still on the positive side of zero… SO I guess I’ve got my lunch! Contentment!
Is my example simple? Yes BUT this is the kind of math that we perform automatically everyday without really putting any effort into it!
Stay tuned for primes and encryption next week!