This document discusses integers and their properties. It defines integers as consisting of zero, positive and negative numbers. Integers are represented on a number line with positive numbers to the right of zero and negative numbers to the left. Absolute value is defined as the distance from a number to zero on the number line, regardless of sign. Examples are provided of ordering integers in ascending and descending order and calculating the absolute value of integers. Practice problems are included for the student to arrange integers and find absolute values.

1. REVIEW

2. COMPLETE THE TABLE
Adjectives Antonyms
1. 1.
2. 2.
3. 3.
4. 4.
5. 5.

3. OBJECTIVES:
•Use negative numbers in practical situations
• Represents integers on the number line
•Compare and order integers
• Describe and illustrate the absolute value of a
number on a number line as the distance of the
number from zero.

4. INTEGERS

5. INTEGERS
• Also known as “Signed numbers”
• Consist of zero, positive and negative numbers
NUMBER LINE
• Is a straight line consist of zero in the middle,
with positive and negative numbers listed on
the either side of the zero and going on
indefinitely.
0 1 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10

6. •Positive numbers are represented by “+” but a
number written without a sign is understood as
positive. (right side)
•Negative numbers are represented by “-” sign
before each number (left side)
0 1 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10

7. JOHN WALLIS
(NOV. 23 1616– OCT 28 1703)

8. USE A SIGNED NUMBERS TO REPRESENT EACH
SITUATION.
•The price of each Share of stock dropped by Php 4
•A submarine is 26 meters below sea level
•A savings account gained interestof Php 120
•Walk 3km east
•Withdrawal of Php 5000
•Increase by 8 points
•Drive 40km south
dropped - 4
below - 26
gained 120
east 3
Withdrawal -
5000Increase 8
-40south
Ans.

9. 1 2 3 4 5 6 7 8 9 10 …
• The value of the number increases as you move
from left to right.
0 1 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10
ORDERING INTEGERS

10. ARRANGE THE INTEGERS
6, -2, -8, 0, 3
•Ascending order
•Descending order
0 1 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10
-8, -2, 0, 3, 6
6, 3, 0, -2, -8

11. ARRANGE THE INTEGERS
•Ascending order
•7, -6, 4, -5, -13
•10, 0, -11, 6, 2
0 1 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10
-13, -6, -5, 4, 7
-11, 0, 2, 6, 10

12. ARRANGE THE INTEGERS
•Descending order
•1, -2, 5, -8, 4
•15, -10, 8, 4, -1
0 1 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10
5, 4, 1, -2, -8
15, 8, 4, -1, -10

13. ABSOLUTE VALUE
•It is the distance between the given number and
zero in the number line. It is denoted by two bars
“||”
•The magnitude of the number without regard to
sign
For Example:
|5| =
0 1 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10

14. FIND THE ABSOLUTE VALUE OF EACH NUMBER
•|21|=
•|-8|=
•|0|=
•|11|=
•|-3|=

15. GENERALIZATION
• INTEGERS IS CONSIST OF ZERO, POSITIVE AND
NEGATIVE NUMBERS.
• ABSOLUTE VALUE TELLS US THE DISTANCE OF THE
NUMBER FROM ZERO.
• POSITIVE NUMBERS ARE GREATER THAN NEGATIVE
NUMBERS.

16. REFLECTION
• IMAGINE YOURSELF AS A POINT IN A NUMBER LINE AND
GOD AS THE ZERO.
0 1 2 3 4 5 6 7 8 9 10-1-2-3-4-5-6-7-8-9-10

17. SEATWORK 6
A. USE THE POSITIVE AND NEGATIVE NUMBERS TO EXPRESS
THE CHANGE IN THESE SITUATION
1. THE PRICE OF A LITER OF GASOLINE RISES BY PHP 1.50
2. FIVE POINTS ARE DEDUCTED FROM A STUDENT’S SCORE
IN A TEST
3. PHP 4000 ARE WITHDRAWN FROM A BANK ACCOUNT.
4. FOR THE RESCUE, THE HELICOPTER HOVERS AT 10
METERS ABOVE THE GROUND
5. THE DIVER GOES DOWN THE REEF TO A DEEP OF 15
METERS.

18. SEATWORK 6
B. ARRANGE THE FOLLOWING INTO ASCENDING ORDER:
1. -8, 2, 18, -7, 0
2. 5, -12, -9, 7, -1
3. -25, 4, -13, -4
C. ARRANGE THE FOLLOWING INTO DESCENDING ORDER:
1. -52, 22, -18, -71, 10
2. -8, -17, -1, -13, -10
D. FIND THE ABSOLUTE VALUE OF THE FOLLOWING:
1. |-19| 3. |-1| 5. |-8|
2. |10| 4. -|-1|