Properties Cheat Sheet
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2CHEAT SHEET
Associative Property
Multiplicative Identity
1 7 = 7
2 + ( 3 + 4) = (2 + 3 ) + 4
4(5 6) = (4 5)6
Commutative Property
Additive Identity
2 + 5 = 5 + 2
0 + 12 = 12
4(6) = 6(4)
Distributive Property
2(4 + t) = 8 + 2t
(x – 5) 7 = 7x - 35
Order of Operation:
1. Simplify grouped expressions
2. Multiply and Divide (left to right)
3. Add and Subtract (left to right)
Adding Integers:
Multiplying Integers:
1. If the signs are the same, ADD
1. Multiply the absolute value of
and use the sign of the original
the integers
integers.
2. If the original numbers both had
2 + 4 = 6
the same sign, the answer is
-3 + -6 = -9
positive.
2. If the signs are different,
3. If the original numbers had
SUBTRACT and use the sign
different signs, make the answer
of the term with the larger
negative.
absolute value.
-5(4) = -20
(4)(-9) = -36
-8(-9) = 72
Double negatives:
Subtracting Integers:
A negative next to a negative is
1. Change the problem to addition
positive.
2. Solve the addition problem
12 – 5
12 – ( - 5)
12 + (-5)
12 + 5
-(-5) = 5
8
17
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