Krille
Super Moderator
Det har ibland frågats om dvärgiska talsystem och hur de räknar, så att som en tjänst gentemot allmänheten så har jag letat fram en mattelektion i dvärgisk räkning. Det är komikern Tom Lehrer som står vid katedern, eller snarare sitter vid pianot, och med följande lilla sång så visar han att dvärgisk matte är precis som vanlig matte - om man saknar två fingrar.
Uppgiften är en enkel subtraktion, 342 minus 173. På det gamla vanliga sättet så hade man ställt upp det så här:
<pre> 10 10
. <strike>3</strike> <strike>4</strike> 2
- 1 7 3
---------
1 5 9</pre>
Vi hoppar rakt in i övning (vers) 2, där man gör det i bas åtta, det vill säga på dvärgiska, och där ska det alltså se ut så här:
<pre> 8 8
. <strike>3</strike> <strike>4</strike> 2
- 1 7 3
---------
1 4 7</pre>
Ni kan sjunga med om ni vill:
<blockquote><font class="small">Citat Tom Lehrer:</font><hr />
You can't take three from two,
Two is less than three,
So you look at the four in the eights place.
Now that's really four eights,
So you make it three eights,
Regroup, and you change an eight to eight ones
And you add 'em to the two,
And you get one-two base eight,
Which is ten base ten,
And you take away three, that's seven.
Ok?
Now instead of four in the eights place
You've got three,
'Cause you added one,
That is to say, eight, to the two,
But you can't take seven from three,
So you look at the sixty-fours...
Sixty-four? "How did sixty-four get into it?" I hear you cry! Well, sixty-four is eight squared, don't you see? (Well, ya ask a silly question, ya get a silly answer!)
From the three, you then use one
To make eight ones,
You add those ones to the three,
And you get one-three base eight,
Or, in other words,
In base ten you have eleven,
And you take away seven,
And seven from eleven is four!
Now go back to the sixty-fours,
You're left with two,
And you take away one from two,
And that leaves...?
Now, let's not always see the same hands! One, that's right. Whoever got one can stay after the show and clean the erasers.
Hooray for New Math,
New-hoo-hoo Math!
It won't do you a bit of good to review math.
It's so simple,
So very simple,
That only a dwarf can do it![/quote]
Så, hoppas att ni lärde er något.
Uppgiften är en enkel subtraktion, 342 minus 173. På det gamla vanliga sättet så hade man ställt upp det så här:
<pre> 10 10
. <strike>3</strike> <strike>4</strike> 2
- 1 7 3
---------
1 5 9</pre>
Vi hoppar rakt in i övning (vers) 2, där man gör det i bas åtta, det vill säga på dvärgiska, och där ska det alltså se ut så här:
<pre> 8 8
. <strike>3</strike> <strike>4</strike> 2
- 1 7 3
---------
1 4 7</pre>
Ni kan sjunga med om ni vill:
<blockquote><font class="small">Citat Tom Lehrer:</font><hr />
You can't take three from two,
Two is less than three,
So you look at the four in the eights place.
Now that's really four eights,
So you make it three eights,
Regroup, and you change an eight to eight ones
And you add 'em to the two,
And you get one-two base eight,
Which is ten base ten,
And you take away three, that's seven.
Ok?
Now instead of four in the eights place
You've got three,
'Cause you added one,
That is to say, eight, to the two,
But you can't take seven from three,
So you look at the sixty-fours...
Sixty-four? "How did sixty-four get into it?" I hear you cry! Well, sixty-four is eight squared, don't you see? (Well, ya ask a silly question, ya get a silly answer!)
From the three, you then use one
To make eight ones,
You add those ones to the three,
And you get one-three base eight,
Or, in other words,
In base ten you have eleven,
And you take away seven,
And seven from eleven is four!
Now go back to the sixty-fours,
You're left with two,
And you take away one from two,
And that leaves...?
Now, let's not always see the same hands! One, that's right. Whoever got one can stay after the show and clean the erasers.
Hooray for New Math,
New-hoo-hoo Math!
It won't do you a bit of good to review math.
It's so simple,
So very simple,
That only a dwarf can do it![/quote]
Så, hoppas att ni lärde er något.
