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Multiplication Properties
Zero Property
Any number multiplied by zero equals “0”
124 x 0 = 0
Identity Property
Any number multiplied by one equals itself
4,987 x 1 = 4,987
Commutative Property
Numbers can be multiplied in any order
152 x 4 = 4 x 152
Associative Property
Numbers can be grouped in any order and the product remains the same.
(5 . 6) . 7 = 5 . (6 . 7)
Distributive Property
The process of distributing multiplication over addition
5 x (2 + 30)= (5x2) + (5x30)
5 x 32 = 10 + 150
160 = 160
Addition Properties
Commutative Property
When numbers are added, the sum is the same no matter what order they are added.
40 + 230 + 19= 289
230 + 19 +40= 289
19 + 40 +230= 289 ETC.
Associative Property
When 3 or more numbers are added, the sum is the same no matter how they are grouped.
(100 + 230) + (45 + 10)=
123 + 55 = 178
Distributive Property
The process of distributing multiplication over addition
5 x (2 + 30)= (5x2) + (5x30)
5 x 32 = 10 + 150
160 = 160
Identity Property
Any number added to zero will equal itself.
1,544 + 0= 1,544
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