This document provides examples and rules for subtracting integers: 1) To subtract integers, add the opposite of the subtrahend to the minuend. For example, 3 - (-5) = 3 + 5 = 8. 2) Examples are worked out following this rule, such as -24 - 9 = -24 + (-9) = -33. 3) Real-life examples are presented and solved, such as finding the change received from a 200-peso bill when vegetables cost 96 pesos.

1. 1. 12 + (-4)=
2. -105 + 67=
3. -14 + (-17)=
4. 45 + 37=
5. 64 + (-38)=
USE THE RULES FOR ADDING
INTEGERS TO FIND THE SUM.

2. Fill in the blank.
Rules in Adding Integers:
Same signs, ___________and keep.
Different signs, _______________,
Keep the sign of bigger _______________
subtract absolute value
add
subtrac
t
ad
d
Absolute
value

3. Identify the opposite of the following.
1.

4. Identify the opposite of the following.
2.

5. Identify the opposite of the following.
3.

6. Identify the opposite of the following.
4.

7. Identify the opposite of the following.
5.

8. SUBTRACTIO
N OF
INTEGERS
Mathematics
Ma’am Jeraldel Encepto
7th Grade

9. LEARNING OBJECTIVES
1. Determine the opposite of the given
integer
2. Apply the rules of subtracting integers
by solving simple problems
3. Cite real life situation where subtraction
of integers are applied

10. Subtraction of
Integers
01 “adding the opposites”
KEEP- CHANGE-CHANGE
a-b a-(-b)
KEE
P CHANG
E
CHAN
GE
a
(-
b)
+ KEE
P CHANG
E
CHAN
GE
a b
+
-proceed to addition rule

11. GIVEN KEEP
CHANGE
(adding)
CHANGE
(opposite)
ANSWER
8-11
-12-(-16)
10-(-6)
-14-8
SUBTRACTION OF
INTEGERS
“adding the opposites”
KEEP- CHANGE-
CHANGE

12. SUBTRACTION OF INTEGERS
1. 3-(-5)= 3 5
+ = 8
2. -7-
10=
-7 (-10)
+ = -17
3. -40-20
=
-40 (-20)
+ = -60
4. 15 – 9
=
15 (-9)
+ = 6
5. 10 – 9- (-
4) =
10 +(-9)+ 4
= 14
+(-9)= 5

13. 1. What number must be subtracted from -15 to get 10?
SUBTRACTION OF INTEGERS
- 15 - _____ = 10
-15 - 10
=
-
15
(-10)
+ = -25
-25
2. What number must be subtracted from 8 to get -4?
8 - _____ = -
4
8 - (-4) =
8 +
12
12

14. 1. 2- (-5) =
2. -24 – 9 =
3. -12 – (-18) =
4. 3- (-6) -8 =
5. 9 – (-1) –(-3) =
Find the difference of the
following.

15. 1. 2- (-5) = 2 + 5= 7
2. -24 – 9 = -24 + (-9) = -33
3. -12 – (-18) = -12 + 18 = 6
4. 3 - (-6) -8 = 3 + 6 + (-8) = 1
5. 9 – (-1) –(-3) = 9 + 1 + 3 = 13
Find the difference of the
following.

16. THINK-PAIR-SHARE!
How do you find the difference between negative
and positive integers? Both positive/negative?

17. In subtracting integers, add
the negative of the
subtrahend to the minuend.

18. Solve the following problems.
1. 63 – (-58)
2. Subtract 87 from ( -23)
3. How much is 100 diminished by 45?
4. How much is (-50) decreased by 46?
5. EJ bought P96.00 worth of
vegetables in GMA Market. How
much was her change if she gave a
200 – peso bill?

19. Follow-up:
Find the difference.
1. 71 – 48
2. - 37 – (-72)
3. 49 – (-49)
4. 100 – (-58)
5. -3 – (-5) –(-7)
Study: Multiplication of Integers