1
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Write 14,897 in expanded form.

2
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Let me just rewrite the number,
and I'll color code

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it, and that way, we can keep
track of our digits.

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So we have 14,000.

5
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I don't have to write
it-- well, let me

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write it that big.

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14,000, 800, and 97-- I already
used the blue; maybe I

8
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should use yellow--
in expanded form.

9
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So let's think about
what place each of

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these digits are in.

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This right here, the 7,
is in the ones place.

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The 9 is in the tens place.

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This literally represents 9
tens, and we're going to see

14
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this in a second.

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This literally represents
7 ones.

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The 8 is in the hundreds
place.

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The 4 is in the thousands
place.

18
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It literally represents 4,000.

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And then the 1 is in the
ten-thousands place.

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And you see, every time you move
to the left, you move one

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place to the left, you're
multiplying by 10.

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Ones place, tens place, hundreds
place, thousands

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place, ten-thousands place.

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Now let's think about what
that really means.

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If this 1 is in the
ten-thousands place, that

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means that it literally
represents-- I want to do this

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in a way that my arrows
don't get mixed up.

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Actually, let me start
at the other end.

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Let me start with what
the 7 represents.

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The 7 literally represents
7 ones.

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Or another way to think about
it, you could say it

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represents 7 times 1.

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All of these are equivalent.

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They represent 7 ones.

35
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Now let's think about the 9.

36
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That's why I'm doing it from the
right, so that the arrows

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don't have to cross
each other.

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So what does the 9 represent?

39
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It represents 9 tens.

40
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You could literally imagine
you have 9 actual tens.

41
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You could have a 10, plus
a 10, plus a 10.

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Do that nine times.

43
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That's literally what it
represents: 9 actual tens.

44
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9 tens, or you could say it's
the same thing as 9 times 10,

45
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or 90, either way you want
to think about it.

46
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So let me write all
the different ways

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to think about it.

48
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It represents all of these
things: 9 tens, or 9

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times 10, or 90.

50
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So then we have our 8.

51
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Our 8 represents-- we see it's
in the hundreds place.

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It represents 8 hundreds.

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8 hundreds

54
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Or you could view that as being
equivalent to 8 times

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100-- a hundred, not
a thousand-- 8

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times 100, or 800.

57
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That 8 literally represents
8 hundreds, 800.

58
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And then the 4.

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I think you get the idea here.

60
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This represents the
thousands place.

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It represents 4 thousands, which
is the same thing as 4

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times 1,000, which is the
same thing as 4,000.

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4,000 is the same thing
as 4 thousands.

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Add it up.

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And then finally, we have this
1, which is sitting in the

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ten-thousands place, so it
literally represents 1

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ten-thousand.

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You can imagine if these were
chips, kind of poker chips,

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that would represent one of the
blue poker chips and each

70
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blue poker chip represents
10,000.

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I don't know if that
helps you or not.

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And 1 ten-thousand is the same
thing as 1 times 10,000 which

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is the same thing as 10,000.

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So when they ask us to write it
in expanded form, we could

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write 14,897 literally as the
sum of these numbers, of its

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components, or we could
write it as the

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sum of these numbers.

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00:04:05,820 --> 00:04:06,740
Actually, let me write this.

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This top 7 times 1 is
just equal to 7.

80
00:04:09,340 --> 00:04:29,710
So 14,897 is the same thing as
10,000 plus 4,000 plus 800

81
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plus 90 plus 7.

82
00:04:39,220 --> 00:04:41,620
So you could consider this
expanded form, or you could

83
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use this version of it, or you
could say this the same thing

84
00:04:44,330 --> 00:04:48,860
as 1 times 10,000, depending on
what people consider to be

85
00:04:48,860 --> 00:05:02,860
expanded form-- plus 4 times
1,000 plus 8 times 100 plus 9

86
00:05:02,860 --> 00:05:09,160
times 10 plus 7 times 1.

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I'll scroll to the right
a little bit.

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So either of these could be
considered expanded form.