Exponents

In this blog the numbers are as they are called in the United States. They may be called different names in other countries.

I was watching 'Who Wants To Be A Millionaire ?' and one of the easy questions was: What is thousand times thousand?  The answer of course is one million, in which the contestant knew. She only had to add three zeroes at the end of the number one thousand 1,000,000 making it one million.

If it was a hard question in my case, I would have been using the exponents for example (10^3) x  (10^3) = (10^6) which means the
number 1 followed by 6 zeroes or one million. Yes, you add the exponents to multiply and subtract the exponents  when dividing..

Now for a hard question:  What is a trillion divided by a billion?
In the United States the small scale trillion is the number 1 followed by 12 zeroes.

 A billion is the number 1 followed by 9 zeroes. Can the person actually keep track of all the zeroes when dividing in their head ?  That's going to be hard !

1,000,000,000,000 divided by 1,000,000,000 of course  is easy with pencil and paper and crossing out zeroes making the answer one thousand. However on 'Millionaire' you will not be allowed to use paper and pencil, making figuring exponents in your head the best option.

(10^12) divided by (10^9) when the exponents are subtracted (since we are dividing this time) smaller from the larger, we get the answer (10^3) which is the number one followed by three zeroes or one thousand. So a trillion (small scale) divided by a billion is a thousand.

Now there is a long scale trillion which is the number one followed by 18 zeroes instead of 12 zeroes.Of course on Millionaire they probably would have to state if it's the large scale trillion or the small scale trillion to be fair.

What do the exponents mean ?  Let's find all the combinations of Bingo .No, it is not 75 combinations but;
              (15^5) or ( 15 x 15 x 15 x 15 x 15)
 giving us the answer of: 759,375 combinations and not 75.

I can break down those bingo combinations, like how many odds-evens there are, or how many combinations are all odd, but since most bingo places do not allow a person to choose their own card(s) any more, why bother?

Now for math oddities: 
What is zero in the zero power ? (0^0) is it one or zero ?
No one really knows, so it 's undefined. On old computers they will give an error message, but on new computers Google calculator will give you the answer as one; Even the zero in zero power, it's just the way that Google calculator is programmed . However, (0^0) is never use anyway, so why worry about it?

What is 6 divided by zero ? Is it 6 , 0  or infinity ? Another 
mathematical oddity.

Another oddity the square root of a negative number { -25^ (1/2)} Google calculator will give this result as -5 which is classified as an imagery number. It can  also be written  as, i = -5,.simply because
 -5 x -5 gives us actually a positive 25 (+25) and not a negative 25 (-25).
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