### Video Transcript

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.