Those Mind Boggling Math Tricks….

I ran across those odd mathematical tricks, today….I was so fascinated, I thought I’d  pull you into my amazement.  I found them on Oddline…link below…

http://oddline.blogspot.com/2008/09/9-mental-math-tricks.html

1. Multiplying by 9, or 99, or 999

Multiplying by 9 is really multiplying by 10-1.

So, 9×9 is just 9x(10-1) which is 9×10-9 which is 90-9 or 81.

Let’s try a harder example: 46×9 = 46×10-46 = 460-46 = 414.

One more example: 68×9 = 680-68 = 612.

To multiply by 99, you multiply by 100-1.

So, 46×99 = 46x(100-1) = 4600-46 = 4554.

Multiplying by 999 is similar to multiplying by 9 and by 99.

38×999 = 38x(1000-1) = 38000-38 = 37962.

2. Multiplying by 11

To multiply a number by 11 you add pairs of numbers next to each other, except for the numbers on the edges.

Let me illustrate:

To multiply 436 by 11 go from right to left.

First write down the 6 then add 6 to its neighbor on the left, 3, to get 9.

Write down 9 to the left of 6.

Then add 4 to 3 to get 7. Write down 7.

Then, write down the leftmost digit, 4.

So, 436×11 = is 4796.

Let’s do another example: 3254×11.

The answer comes from these sums and edge numbers: (3)(3+2)(2+5)(5+4)(4) = 35794.

One more example, this one involving carrying: 4657×11.

Write down the sums and edge numbers: (4)(4+6)(6+5)(5+7)(7).

Going from right to left we write down 7.

Then we notice that 5+7=12.

So we write down 2 and carry the 1.

6+5 = 11, plus the 1 we carried = 12.

So, we write down the 2 and carry the 1.

4+6 = 10, plus the 1 we carried = 11.

So, we write down the 1 and carry the 1.

To the leftmost digit, 4, we add the 1 we carried.

So, 4657×11 = 51227 .

Slaying a dragon…..

Anyone can slay a dragon, he told me, but try waking up every morning and loving the world all over again.

That’s what takes a real hero.

Brian Andreas

Do it with care….

For those who ponder and wonder and wrestle with the idea of what it is they really want, I have an answer that each would wholeheartedly agree with: “HAPPINESS.”

And for those who ponder and wonder and wrestle with exactly what will bring them true happiness, I have an answer that each would wholeheartedly disagree with: “Just do something, do anything, as soon as possible, and do it with care.”

And I’d add, “Trust me.”

Tallyho,
The Universe

Think about it…..

Wars are caused by undefended wealth.
Ernest Hemingway