Understanding Fractions and Decimals

This lesson teaches how to identify equivalent representations of rational numbers by understanding fractions, decimals, and percents. It explains how to divide a number line into tenths, fifths, and fourths, and how these divisions relate to decimals and percents. The lesson also includes a practical problem-solving example involving a plumber's bill, demonstrating how to apply this knowledge to real-world situations.

What is a rational number?

• A number that cannot be divided

• A number that is always positive

• A number that can be expressed as a fraction

• A number that is always whole

How can you represent one-tenth on a number line?

• As 0.1 in decimal

• As 10 in decimal

• As 0.01 in decimal

• As 1 in decimal

What percent is equivalent to one-tenth?

• 10%

• 1%

• 100%

• 0.1%

What is the decimal equivalent of one-fifth?

• 0.1

• 0.5

• 0.2

• 0.25

Which fraction is equivalent to 40%?

• 2/5

• 1/4

• 3/5

• 1/2

How many cents make up a quarter of a dollar?

• 25 cents

• 10 cents

• 50 cents

• 75 cents

What fraction of a dollar is 50 cents?

• 1/5

• 3/4

• 1/4

• 1/2

If a plumber charges $50 per hour, how much would you pay for 0.5 hours?

• $25

• $50

• $75

• $100

Which fraction is not equivalent to 0.5?

• 2/4

• 1/2

• 3/5

• 5/10

What is the decimal representation of 3/5?

• 0.6

• 0.3

• 0.5

• 0.8