Addition
Rules in Adding Integers
1. Addition of Integers with the Same Sign
Add the addends. Then, get the common sign
of addends.
Ex.:
6 + +3 = 9
+
10 + +2 = +12
6 + -3 = -9
10 + -2 = -12
2. Subtraction of Integers with Different Signs
A. Case 1: Positive Minuend and Negative
Subtrahend
The operation will change to addition and
the negative subtrahend will be positive integer.
Then, proceed to the rule no. 1 of Adding
Integers.
Ex.:
2. Addition of Integers with Different Signs
Subtract their addends. Then, get the sign of
the greater addend.
Ex.:
6 + -3
+
6 +3
+
3
10 + +2
10 +2
8
Subtraction
Ex.:
Rules in Subtracting Integers
Ex.:
6 +3 = +3
+
10 +2 = +8
3 +6 = -3
+
2 +10 = -8
B. Case 2: Negative Minuend and Subtrahend
The operation will change to addition and
the negative minuend will be positive integer.
Then proceed to the rule no. 2 of Adding Integers.
Ex.:
6 3
6 + +3
3
10 -2
+
10 + +2
+
12
6 +3
6 + -3
9
10 +2
10 + -2
12
Multiplication and Division
1. Multiplication and Division of Integers with the Same
Sign
If you multiply or divide with the same signs
the product or quotient will be positive integer.
Ex.:
Rules in Multiplying and Dividing Integers
Note: If the subtrahend is bigger than
minuend, subtract the minuend to subtrahend.
Then, the difference will be negative integer.
Ex.:
6 -3
+
6 + +3
+
9
B. Case 2: Negative Minuend and Positive
Subtrahend
The operation will change to addition and
the positive subtrahend will be negative integer.
Then, proceed to the rule no. 1 of Adding
Integers.
Note: That the subtrahend is positive integer.
1. Subtraction of Integers with the Same Sign
A. Case 1: Positive Minuend and Subtrahend
Simply subtract the Minuend to
subtrahend and you will get the difference.
10 2
10 + +2
8
6 x +3 = +18
10 x -2 = +20
6 +3 = +2
10 -2 = +5
2. Multiplication and Division of Integers with Different
Signs
If you multiply or divide with different signs
the product or quotient will be negative integer.
Ex.:
6 x -3 = -18
10 x +2 = -20
6 -3 = -2
10 +2 = +5
Made By: Sir Jaime Niccolo Sala