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ASSOCIATIVE PROPERTIES
COMMON CORE ALGEBRA I HOMEWORK
FLUENCY
Combine the expressions below. Replace subtraction by addition of opposites, if needed.
(a) 7x+3+6x+11
(b) 12x+10+3+8x
(c) 10y+12-7y-8-3y

Sagot :

What is an associative property?

  • According to the associative property, if three or more integers are classified differently, the total or product does not change. It is possible to apply this associative characteristic to addition and multiplication. Both (A + B) + C = A + (B + C) and (A + B) C = A + (B C) are used to represent it.
  • In accordance with the associative property, it is irrelevant how the integers are grouped when adding or multiplying them, i.e., where the parenthesis are placed.

Given expressions with rearrangement as per associative property are:

(a) 7x+3+6x+11

  =(7x+6x)+(3+11)

(b) 12x+10+3+8x

  =(12x+8x)+10+3

(c) 10y+12-7y-8-3y

 =(10y-7y-3y)-(-12+8)

Learn more about the associative property here:

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