Base ten numbersYouTube↗  IA↗(long shot)
Education  498.9K views 174 likes 46 dislikes   20 Feb 2014
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He, Sal! Hallo, Brit!
Voiceover:Hey Sal.
Ich habe das bei einem Garagenverkauf gefunden,
Voiceover:Hello Brit.
und ich weiß, du magst Farben. (Sal:) Ich liebe Farben!
Voiceover:I picked this up at a garage sale and I know you like colors.
(Brit:) Du trägst jeden Tag bunte Hemden,
Voiceover:I love colors.
und ich dachte, du könntest das hier mögen.
Voiceover:You wear colorful shirts everyday and I thought you might like this.
(Sal:) Ich mag das, das ist sehr nett, ja, ich mag es.
Voiceover:I do, this is very kind, I like it.
Also, was willst du damit machen?
So what are you hoping to do with this thing?
(Brit:) Nun, zumindest Zahlen darstellen.
Voiceover:Well, at minimum just maybe represent numbers.
Du weißt schon, Tage zählen.
Voiceover:To count, keep track of numbers? Voiceover:Counting the number of days or...
(Sal:) 1, 2, 3
Voiceover:One, two, three, yeah I can imagine doing that.
Ja, ich kann mir das vorstellen. (Brit:) Gut. Also eine Perle bewegen ist eine Zahl, gut.
Voiceover:Okay, so moving the beads down is a number, right?
Und das sind zehn.
Voiceover:Yeah.
(Sal:) Zehn hier, also vielleicht
Voiceover:There's 10.
20,
Voiceover:10 there, so maybe that would be
30, 40, 50, 60,
20, 30, 40, 50, 60, 70, 80, 90,100.
70, 80,
90, 100. Ja, man könnte 100 Perlen zählen
Yeah, you could count 100 beads to keep track of things.
um Sachen zu zählen. (Brit:) Was, wenn ich bis 105 oder 6 zählen muss?
Voiceover:What if I need to count 105 or 106?
Muss ich ein anderes kaufen?
Do I need to buy another one?
Ich weiß gar nicht, wo man mehr kaufen kann.
I don't even know where I would get more of these.
(Sal:) Das geht nicht. Hm.
Voiceover:That would be an option, maybe not an option if you don't know where to get it.
Nun, die verschiedenen Farben,
Let's see, well the different colors, just like we
so wie wir verschiedene Arten an Währungen haben,
have different forms of currency, maybe we can
vielleicht könne jede von diesen Farben,
have each of these colors, maybe the columns,
jede Spalte eine andere Menge bedeuten.
they represent a different amount.
Also das sind 10. Also was, wenn jetzt eine rote Perle
So this is 10 right over here, what if we had
zehn blaue Perlen bedeutet.
one of these red beads represent 10 of these
Also dann wäre das 10, oder das wäre 10.
blue beads in the first column. So then, you could go, this would be 10 or
(Brit:) Also dann gibt es hier zwei Arten von 10.
you could say that is 10. Voiceover:So there's two representations of 10 here?
(Sal:) Ja, so wie wir das gerade gemacht haben.
Voiceover:Yeah, they way we just worked it out here, yeah.
Und das wäre 11.
And then 11 would be that.
(Brit:) Und das wäre 21.
Voiceover:And this is 21. Voiceover: 21.
(Sal:) Ja, zwei 10 und eine 1, 21.
Voiceover:Yep, you have two 10s and a one, 21.
(Brit:) Und diese braunen Perlen
Voiceover:The wooden colored is going to
stehen für alle roten Perlen.
represent all of the red beads.
(Sal:) Ja, das ist ein gutes System.
Voiceover:Yeah, that's a good system. If each column represents 10 of the beads
Wenn jede Perle in einer Reihe für 10 Perlen
to the column to it's right, that could be interesting.
der Reihe rechts davon steht, wäre das toll.
Because if this represents 10 red beads,
Denn wenn das für zehn rote Perlen steht, dann sind das 10 mal 10, also 100 blaue Perlen.
that's 10 10s, this is equivalent to 100 blue beads. And so this would be equivalent to 10
Und das wären 10 braune Perlen,
of the brown beads, which would be 100 of the red beads, which would be
also 100 rote Perlen,
1000 of the blue beads, and this would be
also 1000 blaue Perlen.
10,000 of the blue beads and this would be
Und das wären 10 000 blaue Perlen,
100,000 of the other blue beads, this would
und das wären 100 000 blaue Perlen,
be 1,000,000 of the blue beads.
das wäre eine Million blaue Perlen.
Voiceover:So we're going to be able tor represent
(Brit:) Und jetzt können wir alle Zahlen zwischen
all the numbers in between one and say 1,000,000.
1 und einer Million darstellen?
Voiceover:I think we can.
(Sal:) Ich glaube schon.
Voiceover:Let me just give you a number.
(Brit:) Wie zeigt man 15 003?
What about 15,003? Voiceover:So let's think a little bit about this.
(Sal:) Nun, denken wir nach,
So let's try with the big numbers first.
machen wir die großen Zahlen zuerst,
So each of these is one, each of these is 10,
also jedes davon ist 1, jedes davon ist 10,
each of these is 100, each of these is 1000.
jedes davon ist 100, jedes davon ist 1000,
I don't have 15 of these, but these are 10,000.
ich habe keine 15 davon,
Each of these are 10,000.
aber diese sind 10 000,
So this is one 10,000, then I could do five 1000s.
das ist also einmal 10 000, und fünf Mal 1000: 1, 2, 3, 4, 5,
One, two, three, four, five, so this is 15,000.
das sind also 15 000. Einmal 10 000,
So one 10,000, five 1000s, and zero 100s,
fünf mal 1000, null mal 100, null mal 10, und dann noch 3.
zero 10s, and then throw a three there.
Also 15 003.
So 15,003.
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