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4.NBT.A.2 "Place Value" Part 2 "Expanded Form" Lightboard 4th Grade - YouTube
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okay so we're going to continue working
on place value you learned how to say
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large multi digit numbers and remember
we did the boxes and we showed how to
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say those numbers now I want to take
some larger numbers and teach you how to
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do expanded form of those numbers okay
so we're going to continue with place
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value we will be working on expanded
form in this session we will look at
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numbers and learn how to write these
numbers in an expanded way that means
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still the same number you learned
previously about how to say the number
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correctly 70 1892 so in this lesson
let's learn how to expand this number
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you still have to know the place value
of each digit ones tens hundreds
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thousands ten thousands so we will start
with the largest digit which is seven in
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the ten thousands place the seven is
worth 70,000
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we will write 70,000 plus one in the
thousands place which would beat one
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thousand plus eight in the hundreds
place which would be eight hundred plus
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nine in the tens place is ninety and two
in the ones place is two now it's very
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likely that you already know how to
write expanded form in this method we
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have a new way though that in fourth
grade we need to learn and I want to
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show you the new way okay so like I was
saying it was it's likely that you know
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how to write those this number in the
expanded form that I just showed you but
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it may not be as likely that you have
seen it this way I'm about to show you
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so the seven is in the ten thousands
place right so you can write seven and
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then if you multiply seven times 10,000
that would give you 70,000 right because
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the value of the seven is 70,000 so
that's the way we will learn how to do
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it this new way the next digit is a one
if we multiply the 1 times the thousands
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digit right this is the thousands place
so times 1,000 you would get 1,000 so 1
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times 1,000 is 1,000 and this is good
8 8 is in the hundreds place
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8 times 100 are you catching on I bet
you know what will be net plus 9
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nine times what that's right times ten
because it is in the tens place Plus and
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the last digit we will write is 2 2
times 1 because it is in the ones place
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notice that we have a plus sign here and
here and here so basically it's the same
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way as the old way that you already know
only it's even expanded even further
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because if we take 7 times 10,000 that
equals 70,000 right and then if we take
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1 times a thousand
it is 1,000 and if we multiply these
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together that is 800 and multiply these
together which is 90 plus 2 so we can
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change it back right and this would be a
good method to check to see if we are
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getting this correct all right so let's
try another one
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only let's do a larger digit number okay
so let's see if we can expand a number
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that is all the way up to the millions
four million five hundred eighty-nine
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thousand two hundred thirty six no we
still need to know how to say this right
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but let's see if we can expand it take
your 4 and multiply it times what yes
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it's a big number right million so times
1 million now plus our next digit which
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is a five and we will multiply it times
the whatever the place of this digit
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which is ones tens hundreds of thousands
ten thousands hundred thousands so it
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will be times 100,000 plus
eight is your next digit times what take
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a gift yes that's right 10,000 so eight
times 10,000 plus nine times what can
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you get it 1,000 all right now I'm out
of space I'm going to run down here so
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plus our next digit is two times 100
plus three times 10 plus six times one
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is that what you got when you tried all
right
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so very good so here's another way to do
or recognize expanded form I hope that
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you have learned something from this
lesson thanks for watching
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