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