### Video Transcript

Modeling Hundredths

In this video, we’re going to learn
how to represent hundredths with a model, a fraction, a decimal, and words.

Let’s look more closely at this
model. Here we have one large square. We can call this square the whole
amount. And the square has been divided
into 100 equal parts or 100 smaller squares. How could we write the shaded
amount as a fraction? Well, we know the denominator
because our whole amount or large square has been divided into 100 smaller squares
or 100 equal parts. So we know the bottom number of our
fraction is 100. Each square represents one
hundredth. How many squares have been
shaded? Each of these columns represents 10
squares. And we know that three 10s are
worth 30, and three more squares gives us a total of 33 shaded squares. 33 out of 100 squares are shaded
orange, so we would call this fraction thirty-three hundredths.

How could we write thirty-three
hundredths as a decimal? Well, we could use our place value
table to help us think about the value of each digit. We know this amount is a fraction,
and it’s worth less than one, so we can complete the ones column because there are
no ones. This part of the number is the
whole part of the number. After this number, we have to write
a decimal point to separate the whole part of the number from the fraction. We call the part after the decimal
the fractional part of the number. So we use the decimal point to
separate the whole part and the fractional part.

And to write thirty-three
hundredths, we write a three in the tenths column and a three in the hundredths
column. Thirty-three hundredths written as
a decimal is zero, a decimal point, three, and another three. We would read this as 0.33. We’ve shown thirty-three hundredths
using a model. We’ve written it as a fraction and
a decimal. To write this amount in words, we
would write thirty-three hundredths.

This model shows a mixed
number. It has a whole part and a
fractional part. In the whole part of our number, we
can see that two whole squares have been shaded. And the fractional part of the
number shows only part of the whole square has been shaded. We know the whole square has been
divided into 100 equal parts or 100 squares, so each column contains 10 squares. So if seven columns are shaded,
that represents 70 squares. We know that seven 10s are 70. And there are another five squares
shaded, so 75 out of 100 squares are shaded. We call this fraction seventy-five
hundredths. So the numbers shown is two and
seventy-five hundredths.

How would we write two and
seventy-five hundredths as a decimal? We already know that the whole part
of the number is worth two, so we can write two in the ones column because we have
two whole squares. Next, we need to write the decimal
point to separate the whole part of the number from the fractional part. And we know we have seventy-five
hundredths. So we would write the seven in the
tenths column and the five in the hundredths column. 2.75 is two and seventy-five
hundredths.

We made a mixed number using our
model. We’ve written it as a mixed number,
as a decimal, but how would we write it in words? Well, we know the whole part of the
number is worth two and the fractional part of the number is worth seventy-five
hundredths. We’ve represented our number using
a model, as a mixed number, as a decimal, and in words. Let’s try practicing what we’ve
learned now by answering some questions.

The large square represents one
whole. Write the fraction that
represents the shaded area.

In this question, we’re shown a
model of a large square, and we’re told this square represents one whole. We have to write the fraction
represented by the shaded part. In other words, what fraction
of the square is shaded? Let’s start by thinking about
the denominator. The large square has been
divided into lots of smaller squares. This is a 100 square. It measures 10 squares by 10
squares. And we know that 10 times 10 is
100. So this is a 100 square. If our whole amount or our
large square has been divided into 100 equal parts, then each part is worth a
hundredth.

We’re just writing the shaded
part. So how many squares out of 100
have been shaded orange? Here’s 10, 20, 30, and seven
more. If 37 out of 100 squares have
been shaded orange, then the shaded area is thirty-seven hundredths. If the large square represents
one whole, the fraction of the square which has been shaded is thirty-seven
hundredths.

The large square represents one
whole. Write a decimal that represents
the shaded area.

In this question, we’re given a
large square. This large square measures 10
squares by 10 squares, which means it’s been divided into 100 smaller squares or
100 equal parts. So we know each of the smaller
squares represents one hundredth. So to help us find the decimal
that represents the shaded area, we need to know how many of these smaller
squares have been shaded. We need to know how many
hundredths are shaded. There are 10 squares in each
column, so let’s count in tens. 10, 20, 30, 40, 50. And one more shaded square
makes 51. 51 out of 100 squares are
shaded.

We’ve written the shaded area
as a fraction. How would we write it as a
decimal? We know the large square
represents one whole, and fifty-one hundredths have been shaded, so we know our
number is less than one. In other words, it has zero
ones. And we know the fractional part
of our number is fifty-one hundredths, so we can write our five digit and our
one digit to represent fifty-one hundredths. The decimal which represents
the shaded area is fifty-one hundredths, which we write as 0.51.

Each big square is one
whole. Daniel has colored two wholes
and seventeen hundredths orange. Write this as a mixed
number. Write this as a decimal. Tip: Use a place value table to
help you.

We know that Daniel has colored
two wholes and seventeen hundredths orange. We have to write this amount as
a mixed number and as a decimal, and we’re told to use the place value table to
help. How would we write two wholes
and seventeen hundredths as a mixed number. We know that each big square is
one whole, and we also know that Daniel has colored two whole squares or two big
squares orange, so the whole part of his mixed number is two. We also know that the
fractional part of his number is seventeen hundredths. The large square has been
divided into 100 smaller squares or 100 equal parts, and each part is a
hundredth. And we know that Daniel has
colored seventeen hundredths, so two wholes and seventeen hundredths written as
a mixed number is two and seventeen hundredths.

Now we need to write this as a
decimal. We know that Daniel has colored
two whole squares, which represent two ones. And the fractional part of the
number is seventeen hundredths. So two wholes and seventeen
hundredths as a decimal is 2.17, which we would say as two and seventeen
hundredths. Daniel colored two wholes and
seventeen hundredths orange. We would write this as a mixed
number as two and seventeen hundredths. And to write this as a decimal,
we would write 2.17, which is two and seventeen hundredths.

What have we learned in this
video? We have learned how to represent
hundredths with a model, a fraction, a decimal, and in words.