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Old 08-01-2005, 08:45 PM   #1
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Another Math Trick

This will sound complicated, as I'm going to give it as a formula, but then I'll explain it so it's easier to understand.

For any number (Y), Y x Y will always be 1 greater than the product of (Y - 1) x (Y +1).

Basically, that means that for any number (say, 4), when you square that number (4 x 4 = 16), it will always be 1 more than when you multiply the numbers just before and just after (3 x 5 = 15). This works for EVERY number.

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Old 08-01-2005, 08:48 PM   #2
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Quote:
Originally Posted by AllenMI
This will sound complicated, as I'm going to give it as a formula, but then I'll explain it so it's easier to understand.

For any number (Y), Y x Y will always be 1 greater than the product of (Y - 1) x (Y +1).

Basically, that means that for any number (say, 4), when you square that number (4 x 4 = 16), it will always be 1 more than when you multiply the numbers just before and just after (3 x 5 = 15). This works for EVERY number.
I flunked math.... but I made this work out!! Yippppeeee!! Maybe, I'm getting smarter!
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Old 08-02-2005, 02:41 AM   #3
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We start school in a week. Keep 'em coming!
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Old 08-02-2005, 08:24 AM   #4
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In a week? I think I'd go crazy! TC & Savannah start this Thursday & they have registration today. I can't wait!! It is sort of bitter sweet though, it means my baby girl is growing up on me.
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Old 08-02-2005, 01:26 PM   #5
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Quote:
Originally Posted by crewsk
In a week? I think I'd go crazy! TC & Savannah start this Thursday & they have registration today. I can't wait!! It is sort of bitter sweet though, it means my baby girl is growing up on me.
Boy, you guys start early!

What a waste of all the summer months.
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Old 08-02-2005, 03:14 PM   #6
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They got out in early May but it does seem like the summer just got started.
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Old 08-02-2005, 08:47 PM   #7
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oh man what is it with you people and math ?? don't you know math and i are enemies ? lol
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Old 08-03-2005, 02:57 AM   #8
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Crewsk,

We got out at the end of May, then I taught summer school during June, so I just had July off. I know people out in the "real world" are thinking that is a lot, but believe me, teachers need that time! Plus it isn't all spent loafing. A lot of it is taken up with lesson plans and getting the room ready for the next class. Not to mention the classes I am taking now to get my Master's Degree. I want more time off!!!!!!!!

Barbara
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Old 08-03-2005, 06:25 AM   #9
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I remember it from high school:

X2 - Y2 = (X+Y).( X-Y)
X2 - Y2 = X2 +XY- XY-Y2

If you put 1 for Y
Then X2 -1 = (X+1)(X-1)

It is the same one: X.X = (X+1).(X-1) +1

If Y = 2
Then X2 - 4 = (X+2)(X-2)

So we can say that
For any number (Y), Y x Y will always be 4 greater than the product of (Y - 2) x (Y +2).

Basically, that means that for any number (say, 4), when you square that number (4 x 4 = 16), it will always be 4 more than when you multiply the numbers just before and just after (6 x 2 = 12).


Woooowwww

Note: X2 means square

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Old 08-03-2005, 10:25 AM   #10
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AllenMI, I am SOOO glad you posted this little math trick. I LOVE math! In fact, after I go to college (hopefully to Harvard) I want to be an architect, because it incorporates both math and art. I can't wait!

I took Algebra 1 earlier than the rest of the people in my class because I was so advanced and had such a love for it. It's neat to see how numbers work together. Last year, I took Geometry, and it was pretty cool too. To be able to see the numbers and also the shapes coordinate is awesome. This year I get to go back to the algebra part of the math world and be in Algebra 2! I can't wait!
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