Math structures 1 final
Associative Property of Addition
(a + b) + c = a + (b + c) Changing the grouping of three or more addends does not change the sum.
Associative Property of Multiplication
(ab)c = a(bc) Changing the grouping of three or more factors does not change the product.
Transitive Property
If a=b and b=c, then a=c
Additive Identity
a + 0 = a
Commutative Property of Addition
a + b = b + a Changing the order of the addends does not change the sum.
Multiplicative Identity
a x 1 = a
Distributive Property
a(b + c) = ab + ac; a number outside the parenthesis can be multiplied to each term within the parenthesis
Commutative Property of Multiplication
ab=ba Changing the order of the factors does not change the product.
What two mathematical properties allow us to "regroup" when using the traditional algorithm?
associative - to move ten tens to hundred block commutative - to have a different starting point
wha one mathematical property is used when utilizing just the open number line?
associative property because we are changing the order of opperations
The arrays illustrate the ___ property of multiplication.
commutative
the area model illustrates the ____ property.
distributive