This GeoGebra applet lets you explore three types of positive rational numbers: fractions, decimals, and percentages.[br][br]Generate random numbers of each type by clicking the "[i]New Numbers" [/i]BUTTON, and drag the corresponding points on the number line . The applet will show you if each number's location is correct.[br]
Locate [b]two different values [/b]for each type of positive rational numbers: fractions, decimals, and percentages. Illustrate your answers on the notes provided below. [br][br]Then, answer the additional questions below.
How did you determine the placement of a fraction on the number line? Explain your reasoning.
How did you determine the placement of a decimal on the number line? Explain your reasoning.
How did you determine the placement of a percentage on the number line? Explain your reasoning.
Can you think of a rational number that might be between[math]\frac{1}{4}[/math] and [math]\frac{1}{2}[/math]?
Can you think of a rational number that might be between 60% and 65%?
Can you think of a rational number that might be between 1.2 and 1.3?
Do you think you can ever find two fractions on the number line that don't have another fraction in between them? Why or why not?
If you were to pick any two fractions, how many fractions do you think you could find between them? Is there a limit?