Add Integers Key Concept:
Words: To add Integers with the same sign, add their absolute values.
The sum is:
Positive if both integers are positive
Negative if both integers are negative
Examples:
3+4 = 7
(-3) + (-4) =-7
Words: To add integers with different Signs, subtract their absolute values.
The sum is:
Positive if the positive integer’s absolute if greater
Negative if the negative integer’s absolute if greater
Examples:
9 + (-4) = 5
(-9) + 4 = -5
Subtract Integers Key Concept:
Words:
To subtract an integer, add its additive inverse
Symbols:
p – q = p + (-q)
Examples:
4 – 9 =4 + (-9) = -5
7-(-10) = 7+10=17
Multiply Integers Key Concept:
Words:
Examples:
The product of two integers with the same sign is positive.
2(6) = 12
Words:
Examples:
-10(-6) = 60
The product of two integers with different signs is negative
6(-4) =-24
-5(7) = -35
Divide Integers Key Concept:
Words: The quotient of two integers with different signs is negative
Examples: 33 ÷ (-11) = -3
-64 ÷ 8=-8
Words: The quotient of two integers with the same sign is positive
Examples: 15÷5=3
-15 ÷ (-5) = 3