Decimals Place Value -Tenths and Hundredths - Elementary Math

hello everyone and thank you for

visiting today I'm going to talk with

you about decimal numbers and these are

including tenths and hundredths now we

can't get into decimal numbers until I

first very briefly remind you of the

place value of what we already know this

is a one's cute it represents one this

is a ten stick it's also called a rod or

a long and that represents ten and this

is a hundred flat or just a hundred and

that represents one hundred now today

we're specifically going to talk about

one and how we can break one apart into

smaller parts so here is one unit this

is one dollar represented like this and

this is just one whole square now we're

gonna take each of these and we're going

to break them up into parts using

decimals and fractions here's the one

that I was talking with you about

earlier this is all also called a unit

now this is one whole square it's not

broken up into any parts imagine kind of

like one whole cake one whole brownie

pan now here is one whole square but

this one is actually split up into ten

equal pieces and we represent that as

tenths that's why we talk about the

tenths place and it is also represented

in fractions with a denominator of ten

this square is one whole square but it

is split up into 100 equal pieces that's

why it's called hundredths and in

fractions the denominator is 100 100

equal parts so now the place value that

we're all we're going to be using as we

discuss tenths and hundredths is here

this is the tenths place this is the

hundredths place and here separating the

ones place and the tenths place is our

decimal we don't call it a dot or a

point it is a decimal so let's put our

decimal numbers and actions here you


a decimal grid it has 100 equal pieces I

have a penny which represents one out of

100 cents of a dollar so I'm gonna

represent this penny on the grid this is

worth only one cent so I will color in

only one part here try and get it thick

enough there so we'll say that that's

1/100 of a dollar and if I'm gonna

represent that on my place value chart I

have one hundredth zero tenths and zero

once and this is how I represent that

number one hundredths if I represent it

as a fraction I would put one out of one

hundred is what a penny is equal to

that's hundreds now let's look at a dime

now a dime is special because a dime

fits into a dollar ten times but I can

also represent it on the hundreds grid

over here as ten hundredths so let's go

ahead and shade in what we know one dime

is actually one tenth of a dollar and if

I shade it in one tenth I would shade it

just like this not quite so neat but you

get the idea

and my fraction is one tenth of a dollar

I write it in my place value chart as

one tenth

I have zero ones and there is my decimal

that's how I write one tenth now if I

were to take this same dime and put it

in this grid I would shade ten parts

because a dime is actually ten pennies

that'll be good enough and I'm gonna put

this as 10 out of 100 and if I were to

write that on the place value chart it's

pretty much the same I can have zero

ones my decimal and ten

out of 100 so as you can see on this one

I have a zero in the hundredths place

and this one I have no zeros or anything

in the hundreds place it's just 1/10 but

these are actually equivalent they equal

the same thing all right so let's look

at some actual decimal grids that have

been shaded so look at your decimal grid

here as you can see this grid has part

of it shaded it's not one hole but it's

part so I know that in my ones place I'm

gonna have a zero because there is not

one hole shaded and there is my decimal

so when I tell my students to count I

say go ahead and count the columns it's

easier to count that way so this is 10

20 30 40 50 and now we'll count the ones

1 2 3 4 5 6 7 so I know that my number

is actually 57 hundredths and I can

write that as a fraction like this 57

out of 100 is shaded here's another grid

for you to practice this one has less

shaded than the one we talked about

before let's go ahead and count the

columns I see 10 20 and this one looks

like 28 is shaded so I'm gonna write

that number like this I have 0 ones

here's my decimal and 28 hundredths is

shaded here's how I write the number in

words when I represent the number with

digits it's written in standard form and

I can't forget my fraction 28 out of 100

is what is shaded and here's a blank

decimal grid you'll see these a lot now

I want you to shade in the decimal grid

or think about how you'd shade it in if

you were to shade 45 hundredths well I'm

going to tell you the same thing I said

before shade the columns first I know

that I'm gonna have four columns shaded

and then five ones shaded to represent

45 so when you shade all of that in it's

not the whole decimal

but it is part of it and you see this

represents 45 hundredths now if I were

to shade represent this as a fraction I

would write it like this 45 out of 100

is the same as 45 hundredths I hope

you've enjoyed this tutorial on decimal

numbers going up to the tenths and

hundredths place if you'd like to see

more videos in the future please like

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wonderful day