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1. Grade 7 – Mathematics
Quarter I
INTRODUCTION TO INTEGERS
(OPPOSITENESS AND REPRESENTATION)

2. •use negative numbers in practical
situations;
•represent integers on the number
line; and
•compare and arrange integers in
ascending and descending order.

3. “What’s the OPPOSITE?”
1. cold
2. down
3. north
4. rising
5. decrease
6. backward
7. below
8. interesting
up
south
falling
increase
forward
above
boring
-+ warm
- +
-+
-+
- +
-+
- +
-+

4. Representing the OPPOSITES.
Situation Signed
Number
Opposite of the
situation
Signed
Number
drive 40 km south
walk 5 steps forward
32 meters below the
sea level
a deposit of Php 5000
demerit of 7 points
drive 40 km north
walk 5 steps backward
32 meters above the
sea level
a withdrawal of Php 5000
merit of 7 points
-40
+5
-32
+5000
-7
+40
-5
+32
-5000
+7

5. Use signed number to represent each
situation.
1. The price of the liter of gasoline rises from
by Php 1.50.
2. The temperature of the freezer is set at 15°
below zero.
3. Five points are deducted from a student’s
score in a test.
+Php1.50
-15°
-5 points

6. NUMBER LINE
0
1 2 3 4 5 6 7 8-8 -7 -6 -5 -4 -3 -2 -1
zero positive integersnegative integers
“signed numbers”INTEGERS -
OPPOSITE -“additive inverse”

7. INTEGERS
0 1 2 3 4 5 6 7 8-8 -7 -6 -5 -4 -3 -2 -1
• number line tells us which number has a
greater value.
• the one to the right is ALWAYS greater
than the one to the left.

8. COMPARING INTEGERS
0 1 2 3 4 5 6 7 8-8 -7 -6 -5 -4 -3 -2 -1
5 is greater than 1
0 is greater than -5
-2 is less than 0
-8 is less than -3
5 >1
0 > -5
-2 < 0
-8 < -3

9. ORDERING INTEGERS
5, -1, 8, -4, 2, 1
0, 6, -7, 3, -4, -1
-2, 5, -3, 1, -10,-6
-4,
Arrange the following in INCREASING order.
INCREASING ORDER
(ascending order)
- from least to greatest
DECREASING ORDER
(descending order)
- from greatest to least
-1, 1, 2, 5, 8
-7, -4, -1, 0, 3, 6
-10,-6, -3,-2,1, 5

10. Test Yourself.
Use signed number to represent each situation.
1. An airplane flies at 20 000 feet above sea
level.
2. Antarctica recorded a temperature of 36°
below zero.
3. Ten points are added from a student’s
score in a summative test.

11. Test Yourself.
Arrange the following in:
1. 5 _____ -3
2. 0 _____ 12
3. -1 _____ -7
4. 3+4 _____ 5+2
5. 4x0 _____ -10
Compare using < , >
or =. Increasing Order:
1. 5, 4, -3, -8, 0, -9, 11
2. 3, -1, 0, 12, -10, -5
Decreasing Order:
1. -1, 3, -2, -9, 0, -1, 2
2. -1, 1, 0, 2, -2, -4

12. Answer Key
III.I. 1. 20 000
2 -36
3. 10
II.
1. > 4. =
2. < 5. >
3. >
Increasing Order:
1. -9, -8, -3, 0, 4, 5, 11
2. -10, -5, -1, 0, 3, 12
Decreasing Order:
1. 3, 2, 0, -1, -1, -2, -9
2. 2, 1, 0, -1, -2, -4