Math Department
Worksheet (6)
Name Grade : 6A Date:
Chapter Integers and Rational Numbers
Lesson 2.1, 2.2 and 2.3
Objective/s:
Students will be able to:
A (for advanced level) B (for intermediate level) C (for elementary level)
Compare and contrast rational Define integers and their Define integers and understand
number and interpret rational opposites, and order them rational numbers
numbers in real-world according to value
contexts
Student’s Reflection:
Draw a tick to self-assess your performance
● [ ] I was confident enough in the material covered.
● [ ] I managed my time during this worksheet.
● [ ] All concepts/ideas were understandable.
● [ ] I completed this worksheet/quiz, somehow, smoothly.
● [ ] I noted some challenges while solving. *Challenge was………………………………..
Math Department/ Grade 6
Page 1 of 4
Topic 2.1: Understanding Integers
1
1. The numbers 4, −7, and 0 are integers. The numbers 4.5 and are not integers. Circle the
2
integers.
3
−2.5 0 −9 16 −4.8
4
2. Which integer is neither positive nor negative? ________
What is the opposite of this integer? ________
3. Complete 3a–3d to find the opposite of 9.
a. On a number line, the positive integers are located to the ________ of 0.
The negative integers are located to the ________ of 0.
b. Plot 9 on the number line to the right of 0.
c. Plot the opposite of 9 to the left of 0 so that it is 9 units from 0.
d. The opposite of 9 is ___________.
4. Draw a number line from −5 to 5. Label −3 as point P. Then write the opposite of −3.
Math Department/ Grade 6
Page 2 of 4
Topic 2.2: Represent Rational Numbers on a Number Line
1. You can rename 3.5 as a mixed number.
3.5 = ___________
Now rename the mixed number as a quotient of two integers.___________
2. Use the number line to complete the statement.
−1 −2 because −1 is to the _________ of −2 on the number line.
3. Use a number line to help order rational numbers.
a. Plot and label points, R(1.25), and S(−3.5) on the number line.
b. Use the number line to order ,1.25, and −3.5 from least to greatest.
_________________________________________
4. Use <, >, or = to compare −8 and −9.
Math Department/ Grade 6
Page 3 of 4
Topic 2.3: Absolute Values of Rational Numbers
1. The absolute value of 9 is written as | 9 | , and | 9 | = ________.
The absolute value of −9 is written as |−9 |, and |−9 | = ________.
How would you read “ | −5 | ”? ______________________________
2. Find each absolute value.
| 12 | = ________
|−25 | = ________
| 0 | = ________
|4.75 | = ________
|− 5 | = ________
8
|−18 | = ________
|3.77 | = ________
|− 4 1 | = ________
2
3. Here are four elevations in feet representing distances from sea level. Which elevation
is farthest from sea level?
|12|, |−16|, |−39|, |7|
Math Department/ Grade 6
Page 4 of 4
