Identifying Equivalent Representations of Rational Numbers

This lesson teaches how to identify equivalent representations of rational numbers by converting fractions into decimals and percents. It explains using number lines to divide wholes into equal parts, demonstrating how fractions like tenths, fifths, and fourths relate to decimals and percents. The lesson includes practical applications, such as solving a problem involving a plumber's bill, to reinforce understanding. Key patterns in fractions and their decimal and percent equivalents are highlighted to aid mental math and efficient operations on rational numbers.

What is a rational number?

• A number that cannot be divided

• A number that is always whole

• A number that is always greater than one

• A number that can be expressed as a fraction

If a number line is divided into 10 equal parts, what is each part called?

• One quarter

• One half

• One tenth

• One fifth

What is the decimal equivalent of 1/5?

• 0.25

• 0.2

• 0.1

• 0.5

How much is 50% of a dollar?

• $1.00

• $0.50

• $0.25

• $0.10

In the plumber problem, which fraction is not equivalent to five tenths?

• 5/10

• 2/4

• 3/5

• 1/2