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Voiceover: The goal of this video 
is to essentially write down

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all the numbers in order
from zero to a 100.

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But I’m going to do it in
an interesting way, a way

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that maybe will allow
us to see some patterns

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in the numbers themselves.

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So let me just start, so I’m
gonna start at zero, one, two,

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three, four, five, six,
seven. eight, and nine,

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and instead of, of course we
know the next number is 10,

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which I could write down
but instead of doing that

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I’m just going to copy
and paste all of this.

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So copy and paste all of that
and see what this does for us.

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So if I do that, how does that help us?

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Well we know the next number is 10,

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which one way to think about it is,

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it’s a one followed by a zero.

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What’s the number after that?

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Well it’s 11, which is
a one followed by a one.

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What’s the number after that?

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Well it’s a 12, which is
a one followed by a two,

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and then 13, 14, 15, 16, 17, 18, and 19.

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Well that was pretty neat.

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This next row of numbers
as I went from 10 to 19

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looked just like the first ones,

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so the 2nd number is the same in yellow,

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but then I added a purple
one to the front of it.

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And one way to think about
it is, each of these numbers,

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the purple one that I
added, that represents 10.

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So 11 could be viewed as 10 plus one,

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12 could be viewed as 10 plus two.

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Let’s see if this keeps working.

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So let’s take another row of numbers.

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So let’s take another
row , my original row,

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and what do I get to after 19?

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Well of course after 19 we get to 20.

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So 20, two zero and then 21,
22, 23, 24, 25, 26, 27, 28, 29.

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I think you might start
to see the pattern here.

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What are we gonna do for the next row?

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Well now we’re in the 30s.

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So the first number 30 is 30 plus zero,

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30 plus one, 30 plus two,
30 plus three which is 33,

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34, 35, 36, 37, 38, 39.

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So just doing that I think
you already see the pattern.

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The number on the right we
keep going from zero, one, two,

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three, four, five, six, seven,

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eight, nine, and then
the number on the left,

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if we’re between 10 and 19,
you’ll always have a one.

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If you’re between 20 and 29,
you’ll always have a two.

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If you’re between 30 and 39,
you’ll always have a three.

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Now how can I complete this

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going all the way to 99 pretty fast?

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Well let’s do that, so
that’s going to be my 40s,

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I haven’t written it out yet.

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That’s going to be my 50s,
this is going to be my 60s,

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70s, 80s, and then I have
my 90s right over here.

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And so this one we already said
this is going to be my 40s,

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this is going to be my
50s, this is going to be,

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I’m trying to make sure I
use all my colors, my 60s,

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this is going to be my 70s,
and then I have my 80s,

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and then of course I have
my, let me do a color that,

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I’ll re-use magenta, I’ll have my 90s.

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So what if I woulda just take this,

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so let me just take this right over here,

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and copy and paste that.

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So copy, and then let me paste it.

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So now I have 41, 51, 61, 71, 81, and 91.

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Now I can do it over here,
42, 52, 62, 72, 82, and 92.

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And I can do it for each of
these, for each of these now.

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So that’s, now, 44,
54, 64, 74, 84, and 94.

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And so when I do that
we see the full pattern.

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We see the full pattern
and I’m almost done.

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I’m almost done filling in
my numbers from zero to 99.

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49, 59,69,79,89,99 and if
we just wanna feel good,

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we could throw in, we
could throw in a 100,

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a 100 right over there.

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And you’ll see the pattern
still holds, we went from one,

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two, three, four, five,
six, seven, eight, nine,

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and now we got to 10 followed by a zero.

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That was pretty neat.