1000k = 1 million
1000m = 1 billion
1000b = 1 trillion
I don't see what's so illogical about that.
Ok...so first let's have the apparent logical sceme of both scales:
Short scale:
(10^3)^(1+
1) million
(10^3)^(1+
2) billion
(10^3)^(1+
3) trillion
(10^3)^(1+
4) quadrillion
(10^3)^(1+
5) quintillion
(10^3)^(1+
6) sextillion
(10^3)^(1+
7) septillion
(10^3)^(1+
8) octillion
(10^3)^(1+
9) nonillion
(10^3)^(1+
10) decillion
(10^3)^(1+
11) undecillion
I hope the terms are correct. If not: Frack it!
Anyway: The same numbers in the short scale:
10^(6*
1) million
10^(6*
1+3) milliard
10^(6*
2) billion
10^(6*
2+3) billiard
10^(6*
3) trillion
10^(6*
3+3) trilliard
10^(6*
4) quadrillion
10^(6*
4+3) quadrilliard
10^(6*
5) quintillion
10^(6*
5+3) quintilliard
10^(6*
6) sextillion
In comparison we can note two things:
1. The whole -ard thing with the adding three factors of 10 seems odd at first glance.
2. The long scale doesn't have to do any silly splitting up of factors as the short scale does. We will see why this is relevant in a second.
So let's do some calculations to testdrive these logics:
Test #1
Let's multiply 10^12 with 10^12. That's a billion in the long scale, a trillion in the short scale.
In the long scale this makes lot's of sense:
(10^6*
2)*(10^6*
2) = (10^6*
4)
A billion times a billion is a quadrillion. Cause two plus two is four.
The short scale looks and feels somewhat differently...
(10^3)^(1+
3)*(10^3)^(1+
3) = (10^3)^(1+
7)
A trillion times a trillion is a septillion. Cause three plus three is seven.
Test #2
You may have found that example unfair, since i did dodge those annoying -ards. So let's have another one. Let's square 10^21!
Long scale:
(10^(6*
3+3))*(10^(6*
3+3)) = (10^6*
7)
A trillard times a trilliard is one septillion. You add up the two half-factors effectively adding one factor.
Every child knows that!
Short scale:
(10^3)^(1+
6)*(10^3)^(1+
6) = (10^3)^(1+
13)
A sextillion times a sextillions is...oh my god...erm...a tredecillion... i guess.
You know, cause six plus six is thirteen and all that...
The short scale: Logical, accessible, practical.
Or maybe not.
But, yeah, i guess if you give a number a sixish name on account of that number being "six plus one times a thousand", you might as well go all out and claim it makes sense.