Connecting Decimals and Fractions Through Intuition

The video tutorial explains how to express shaded areas of squares as fractions and decimals. It begins with dividing a square into ten equal parts, representing tenths, and then into a hundred equal parts, representing hundredths. The tutorial also covers expressing points on a number line as fractions and decimals, emphasizing the conversion between these forms. Through examples, the video demonstrates how to write fractions and decimals, such as 6/10 as 0.6 and 27/100 as 0.27, providing a clear understanding of these mathematical concepts.

What fraction represents the shaded area if a square is divided into ten equal sections and six are shaded?

• 3/5

• 6/10

• 60/100

• 1/6

If a square is divided into ten equal sections, what decimal represents one section?

• 10.0

• 0.1

• 0.01

• 1.0

How many hundredths are shaded if five out of a hundred squares are shaded?

• 5/100

• 0.05

• 5/10

• 1/20

What decimal represents five shaded squares out of a hundred?

• 0.05

• 0.5

• 0.005

• 5.0

On a number line divided into hundredths, what fraction does the point at 27 hundredths represent?

• 27/10

• 0.27

• 2/7

• 27/100

How is the decimal 0.27 represented as a fraction?

• 27/10

• 2.7/10

• 0.27/100

• 27/100

What fraction represents 21 hundredths?

• 21/10

• 21/100

• 2.1/10

• 0.21

If a square is divided into 100 sections, what decimal value represents 21 shaded sections?

• 0.21

• 2.1

• 21

• 0.021

What is the decimal equivalent of two tenths and one hundredth?

• 2.01

• 0.02

• 0.21

• 0.201

If each small square represents one hundredth, how many hundredths are there in two tenths?

• 20

• 2

• 0.2

• 200