N2C5TNp17
Answer to Problem 17:
5 + (3 + 4)
DEFINITIONS:
associative property of addition—the sum stays the same when the grouping of the addends is changed.
Example: (5 + 4) +6 = 5 + (4 + 6).[1]
associative property
of multiplication—the
product stays the same when the grouping of the factors is changed.
Example: (3 ´
4) ´
7 = 3 ´
(4 ´
7).[2]
distributive property—when one of the factors of a product is written as a sum, multiplying each addend before adding does not change the product. Example: 3 ´ (5 + 4) = (3 ´ 5) + (3 ´ 4).[3]
[1] Math at hand: A mathematics handbook (p. 517). (1999). Wilmington, MA: Great Source Education Group, Inc.
[2] Math at hand: A mathematics handbook (p. 517). (1999). Wilmington, MA: Great Source Education Group, Inc.
[3] Math at hand: A mathematics handbook (p. 522). (1999). Wilmington, MA: Great Source Education Group, Inc.