INTEGERS AND NUMBER LINE

1. Lesson 1
Integers and the
Number Line

2. Objectives
At the end of this lesson, the learner should be able to
● correctly identify real-life situations that make use
of integers;
● accurately locate integers on a number line; and
● solve non-routine problems that involve integers

3. Essential Questions
● What is the importance of knowing how to represent
integers on a number line?
● How are integers useful in our daily life?

4. Warm Up!
Before we start exploring about integers, let us watch a
videoclip about what integers are.
(Click on the link to access the video.)
Don’t Memorise. “What are Integers”. YouTube video, 2:19,
Posted December 8, 2014. Retrieved 26 June 2019
https://www.youtube.com/watch?v=5oHJcmYbHvA

5. Guide Questions
● What is the difference between natural numbers and
whole numbers and how are they related to integers?
● Can you give examples on the application of integers?

6. Learn about It!
Integers
consist of natural numbers (positive integers), their negatives, and zero; do not
contain fractions, decimals, and roots
1
Example:
𝟕, −𝟕, 𝟎

7. Learn about It!
Zero
neutral number; it is neither positive nor negative
2

8. Learn about It!
Positive integers
natural numbers or whole numbers greater than 0;located to the right of 0 on the
number line
3
Example:
1, 2, 3, 4, …

9. Learn about It!
Negative integers
the opposites of positive integers on the number line; less than 0 indicated with a
minus sign
4
Example:
−1, −2, −3, −4, …

10. Try It!
Example 1: Locate −3 and 5 on the number line.

11. Try It!
Example 1: Locate −3 and 5 on the number line.
Solution:
1. Draw a number line that would include −3 and 5.

12. Try It!
Example 1: Locate −3 and 5 on the number line.
Solution:
2. Locate −3 and 5.

13. Try It!
Example 2: How far is 2 from −6?

14. Try It!
Example 2: How far is 2 from −6?
Solution:
1. Draw a number line that would include −6 and 2.

15. Try It!
Example 2: How far is 2 from −6?
Solution:
2. Count the number of units from −6 to 2 .
Therefore, 2 is 8 units away from −6.

16. Let’s Practice!
Individual Practice:
1. Express the following as a positive or a negative number:
a. 15 meters below sea level
b. A gain of ₱2 000
c. Withdrawal of ₱5 000 from the bank.
2. Ronnie parked his car on the second level underground.
He then went up on the 4th floor. Represent this on a
vertical number line and determine how many floors he
traveled.

17. Let’s Practice!
Group Practice: To be done in groups of 4
The average temperature in Alaska during winter is −10℃
while it is −6℃ in Beijing, China. Which is colder in winter?

18. Key Points
Integers
consist of natural numbers (positive integers), their negatives, and zero; do not
contain fractions, decimals, and roots
1
3
Zero
neutral number; it is neither positive nor negative
2
Positive integers
natural numbers or whole numbers greater than 0.; located to the right of 0 on
the number line
3
Negative integers
the opposites of positive integers on the number line.; less than 0 indicated with a
minus sign
4

19. Synthesis
● How do you determine if an integer is positive or negative?
● What is the importance of knowing how to represent
integers on a number line?
● Now that you have learned about integers, can you
compare them?