Which integer are you?

Wilis Putri Hapsari, Jul 23, 2026

This book is about integer in different form like normal number, percentage, fraction, and decimal. The first chapter of the book explain about each definition, the second chapter is defining which one is bigger, smaller, or equal, and the last chapter is order them in the correspondent amount from lowest to highest or vice versa.

Table of Contents

  1. Understanding Fraction Forms
    1. Fraction Exploration
    2. Decimal Lineup
    3. Percentage Problem
    4. Percentage Calculator
    5. Fraction Division - Circle Model
    6. Integer Comparison and Operations
  2. Converting Between Forms
    1. Converting Decimals to Fraction
    2. Converting Percentages to Fractions
    3. Converting Percentages to Decimals
  3. Comparing and Ordering Values
    1. Comparing Fractions using Models
    2. Fractions and Decimals
    3. Comparing Decimals Using Place Value
    4. Open Middle: Comparing and Identifying Fractions on a Number Line

1.

Understanding Fraction Forms

This chThis chapter introduces students to the different ways a value can be expressed as a fraction. Students will explore mixed numbers, decimals, and percentages individually, then discover how these three forms are connected and can represent the same value. Interactive GeoGebra activities help students visualize each form before moving on to comparisons.apter explain any kin of integer form

  • 1. Fraction Exploration
  • 2. Decimal Lineup
  • 3. Percentage Problem
  • 4. Percentage Calculator
  • 5. Fraction Division - Circle Model
  • 6. Integer Comparison and Operations

1.1.

Fraction Exploration

Number Line Fraction Visualization
The number line below divides 0 to 1 into fractions defined by the sliders to the left. Try to predict equivalent fractions for different denominators, then verify visually.
Bar Visualization of Fractions.
The applet below provides side by side comparisons of two fractions defined by the sliders. Set up a fraction on the left and try to determine all equivalent fractions. Verify your answers visually using the right.
– Albert Navetta

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2.

Converting Between Forms

Building on Chapter 1, students learn practical techniques to convert one fraction form into another turning mixed numbers into simple fractions, fractions into decimals, decimals into percentages, and so on. This chapter focuses on step-by-step conversion methods, supported by GeoGebra simulations that make abstract calculations easier to follow and verify.

  • 1. Converting Decimals to Fraction
  • 2. Converting Percentages to Fractions
  • 3. Converting Percentages to Decimals

2.1.

Converting Decimals to Fraction

This worksheet show one of several ways to find the equivalent fraction for a terminating decimal.
Converting Decimals to Fraction
For decimals with repeating parts the method needs to be modified.
– Auston B Cron

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3.

Comparing and Ordering Values

The final chapter brings everything together. Students apply their understanding of fraction forms and conversion skills to order and compare mixed sets of values — including combinations of mixed numbers, decimals, and percentages in a single problem. Using interactive number lines and sliders in GeoGebra, students build strategies for accurately ranking values and complete a hands-on final project to demonstrate mastery.

  • 1. Comparing Fractions using Models
  • 2. Fractions and Decimals
  • 3. Comparing Decimals Using Place Value
  • 4. Open Middle: Comparing and Identifying Fractions on a Number Line

3.1.

Comparing Fractions using Models

Compare these fractions.
[size=200]I[/size][size=150][size=200]s the fraction on the left greater than >, less than <, or equal to = the one on the right? [br][br]How do you know? (hint - use the sliders on the right to slide the parts of the circle on top of the other circle). [br][/size][br][size=200]Compare the fractions using the correct symbol (>, < or =).[/size][/size]
What do you notice about the denominators of these fractions?
[size=150][size=200]When fractions have the same denominator, does a larger numerator make the fraction greater than > or less than < the other one?[br][br]Is the fraction on the left greater than > or less than < the one on the right?[br][br]Compare the fractions using the correct symbol (>, < or =).[/size][/size]
What do you notice about the numerators of these fractions?
[size=200]When fractions have the same numerator, does a larger denominator make the fraction larger or smaller than the other one?[br][br][/size][size=200]Which fraction is larger, the one on the left or the one on the right?[/size]
Compare these two fractions
[size=200]Which fraction is larger? Compare the fractions using the correct symbol (>, < or =).[br][br]How would you know which is larger if you did not use the images? [/size]
– Jennifer Mallory, Trish Samuels, Tim Brzezinski, Adrián Martín

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