hi I'm Ashley and welcome to place value decimals in this video we're going to
learn what a decimal is and the value of the first four places to the right of
the decimal point it is important that you first have an understanding of whole
number place value so if you need it go back and watch place value one and two
to review place value up to the thousands place then come back to this
one are you ready to learn let's go
here we have one large decimal number written in a place value chart but what
does this mean in this video we're going to learn how to use a place value chart
to understand the value of decimals but first let's quickly review place value
with whole numbers numbers that are not decimals if you've watched our previous
place value videos you'll remember that the value of each digit changes
depending on its location each place has a value of 10 times the place to its
right
okay so what's the difference when I have the same digit of five in each of
these places well you'll remember in the ones place five only has a value of five
ones in the tens place it's five tenths which is 50 in the hundreds place it's
five hundred and in the thousands place five thousand
so 5555 okay so what if we wanted to add another place to the right of the ones
place what would the value of it be well remember we said that each place is ten
times the value of the place to its right well the opposite is true too each
place is one-tenth the value of the place to its left so if we want to add a
place to the right of the ones we'd have to take a one and divide it into ten
pieces let me show you okay we can remember ten pieces because deci in the
word decimal means tenth here I have one bar divided into ten pieces if I shade
in one of them and say this piece is mine that means I have 1/10 now you
might at least thinking wait a minute that sounds like a fraction well you're
right fractions like decimals are a way of writing a part of a whole so 1/10 as
a fraction would be written this way 1 out of 10 pieces okay it means the exact
same as the decimal 1/10 it is 1 out of 10 pieces let me show you another
example let's say I have 4 pieces that would be 4 out of 10 4/10 is the same as
a decimal point with 4 now you could have a zero in front meaning zero ones
or that does not have to be there it is it can be the same and it's just a
decimal point and a4 4/10 okay let's do one more here
is what a decimal number would look like on the place value chart I have three
and two tenths three ones and two out of ten pieces okay so that's one whole bar
two whole bars three whole bars and two pieces of a bar here
three and two tenths now if you're looking at other place value charts you
might see a separate section between the ones and the tenths place for your
decimal point and that's fine and if you would rather draw this in on your own
place value chart if that helps you to understand it better please do so you
might also see your decimal written right on top of the line like this feel
free to do that as well whatever makes it easier to understand for you okay now
let's think about what would happen if we wanted to add another place to the
right hmm we'll have to divide the tenths by 10
that's like saying one whole divided into 100 pieces this place is now called
the hundredths place don't get it confused with hundreds it's hundredths
see the THS here same with the tenths THS it's different than tens okay so
this is the hundredths place and let's look at a couple of examples now since
my whole number is divided into 100 pieces instead of 10 my box here looks a
little bit different this entire square is one hole all right and then just one
of these pieces is 100 if we had 10 that is 1/10 10 out of a hundred is
1/10 so let's see what that looks like over on our place value chart one
hundred one box I have a 1 in the hundredths place now I can't leave the
tenths place empty or else that would be confusing I wouldn't know that this is
worth one hundredths I have to have a zero here since I have
zero tenths now with a decimal if there are no whole numbers remember
you can have a zero in the ones or you can leave that place blank I will put
this here for now now what would it look like if I had 10 out of 100 now remember
with place value you cannot put more than one digit in one place right so I
can't put 10 here meaning 10 hundredths all right I can only have the digits 0
through 9 in one place what do you do it's like carrying okay one here in the
tenths place a zero in the hundredths place I have Han hundreds is really one
tenth what if I had two tenths and zero hundredths well that's one more bar here
20 hundredths is two tenths now what if I change the hundredths
place here instead of zero via 4 24 hundredths well I've already shaded 20
pieces over here now I just need four more 1 2 3 4 24 hundredths what would it
look like if I changed this to a zero and just have 4 hundredths let me erase
these and you can see one two three four pieces that's it
zero tenths four hundredths I would say this number as four hundredths now what
if I had one and 24 hundredths well that would be like saying a whole square here
and another 24 hundredths so 1024 one whole and 24 hundredths now we can keep
going on and on and on adding places to the right there is no limit to how many
places we can add I'm not going to show you what all of these look like by
shading in squares but just know that each place is worth one tenth of the
place to its left the first four places to the right of the decimal point
are called tenths hundredths thousandths and ten thousandths these are the places
you'll need to know in order to master our place value decimals game now go
practice what you've learned and remember to always be clever