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Activity 18.2b: Ordering of (Positive) Rational Numbers on a Number Line - Random Values

Description of the Applet

This GeoGebra applet generates random numbers of three types of positive rational numbers such as fraction, decimal, and percentage. The green square represents the fraction, the purple square represents the decimal, and the orange square represents the percentage. Drag the colored squares onto the gray squares to order the three numbers from least to greatest. A "Correct Order" message will appear if you get it right. Click the "Reset Answers" BUTTON to start over. (Optional) Click the CHECKBOX to show the number line for easier visualization. You can also click another checkbox to reveal the correct placement of the numbers on the line (if needed).

Your Task

Compare and order two sets of numbers that include fractions, decimals, and percentages. Write your answers and the steps you took to solve them in the notes provided below.

First Set of Numbers

Second Set of Numbers

Explaining

What strategies did you use to compare and order fractions, decimals, and percents?

Reasoning

What are the reasons behind your strategies in comparing and ordering fractions, decimals and percents?