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Level 13

Properties of Multiplication


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Identity
The product of any number and one is that number.
associative
Changing the grouping of the factors does not change the product.
Commutative
Changing the order of the factors does not change the product.
Distributive
This is done by breaking a large fact into two smaller known facts.
zero
ADDITIVE IDENTITY
commutative property of multiplication
If the order of factors changes, the product stays the same.
associative property of multiplication
When the grouping of factors changes, the products stays the same.
identity property of multiplication
The product of 1 and any number is that number.
Property of Zero
a × 0 = 0
42
Distributive Property of Multiplication
4 × 5
( 2 × 5 ) + ( 2 × 5)
A.1=A
Identity Property
A.1/A=1
Inverse Property
A.0 =0
Multiplication Property Of Zero
A-1: A.-1= -A
Multiplication Property Of -1:
Associative Property
(1 + 2) + 3 = 1 + (2 + 3)
(A.B).C
Commutative Property
distributive property
Multiplying a sum by a number is the same as multiplying each term by the number and then adding (or subtracting ) the products.
A.C=B.C
Property Of Equality
zero
a mathematical element that when added to another number yields the same number
property
Zero times any number is zero. In symbolic form, 0 x a = 0.