Question

Indicate which property is illustrated in Step 2.

Step 1 8 + (5 + 8) + 0 = 8 + (8 + 5) + 0
Step 2 = (8 + 8) + (5 + 0)
Step 3 = (8 + 8) + 5
Step 4 = 16 + 5
commutative property of addition
identity property of addition
associative property of addition
distributive property

Answer 1

Hi, I can help you with this.
They're asking what was used in going from
8 + (8 + 5) + 0 (*)
to
(8+8) + (5 + 0) (**)
First question: did the ORDER the #s are listed change in going from (*) to (**)?

Answer 2

no just different ()'s

Answer 3

Here's what I mean: In (*), the numbers (listed from left to right) are: 8, 8, 5, 0
In (**), they are: 8, 8, 5, 0
Did the order change? Did any #s change places?

Answer 4

no

Answer 5

Good. So, it's not a commutative law, because "commuting" has to do with "changing places". Now, did the GROUPING of the #s change? LIke, in 8 + (8+5) + 0, the 8 and the 5 are grouped together...

Answer 6

By the way, the page below has memory devices for "commutative" versus "associative" which might be helpful for you:
http://www.onemathematicalcat.org/algebra_book/online_problems/addition.htm

Answer 7

Are you still there? Do you need a hint?

Answer 8

OK, guess you're gone ... hope you figured it out. Have a great day!