What property is shown?
–12 + (27 + 12) = –12 + (12 + 27)
A.
associative property
B.
commutative property
C.
distributive property
D.
opposite of a sum property

- like1234

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- schrodinger

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- like1234

Will medal!!!!!!!!!!

- like1234

I think B

- anonymous

The answer would be commutative because it changes order.

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## More answers

- like1234

ok thx!

- like1234

so is the answer for this on B
Which is an example of the commutative property?
A.
–13 + 27 = 27 + (–13)
B.
–21 + (11 + 13) = (–21 + 11) + 13
C.
4(–3 + 5) = 4(–3) + 4 ∙ 5
D.
–(–8 + 3) = 8 + (–3)

- mathstudent55

commutative: change of order
associative: change of grouping

- like1234

ok thx!

- mathstudent55

distributive: a(b + c) = ab + ac

- anonymous

Associative property keeps the order but changes the parentheses.

- like1234

ok...................

- like1234

so am i correct???

- mathstudent55

|dw:1443637653761:dw|

- anonymous

No its not B. B is associative property

- like1234

Oh

- mathstudent55

Commutative property is a change of order.
Here is the general way of stating the commutative property of addition:
a + b = b + a

- like1234

wit what problem is this for?

- like1234

*wait

- anonymous

I am talking about the second problem

- like1234

ok

- mathstudent55

For the second problem, in B., the 11 and 13 were grouped together on the left side.
On the right side, the -21 and 11 are grouped together. This is a change of grouping, so B is associative, not commutative.

- like1234

so for communicative u have 2 change the whole thing?

- mathstudent55

You need to find a statement that is an example of
a + b = b + a, which is commutative.

- like1234

OH

- mathstudent55

It is not "communicative." Communicative means you like to communicate.
It is "commutative." Commutative means you change, as in change the order.

- like1234

ok im confused
for communicative u change the order the opposite

- like1234

wit my problem is commutative property not communicative

- like1234

*wait

- mathstudent55

Commutative:
See if one of the choices shows this:
(first number) + (second number) = (second number) + (first number)

- like1234

oh i see thx

- like1234

so A then right?

- mathstudent55

Commutative property of addition.
(first number) + (second number) = (second number) + (first number)
a + b = b + a
Example:
3 + 5 = 5 + 3

- mathstudent55

Correct. A is the answer.

- like1234

k

- like1234

thx sooooo much

- mathstudent55

You're welcome.

- like1234

What value of q makes the statement true?
–(q + 14) = –3 + (–14)
A.
–17
B.
–3
C.
3
D.
17

- mathstudent55

yw

- like1234

i now it has 2 be 3 but im not sure if it is -3 or 3

- like1234

@mathstudent55

- like1234

@KAKES1967

- like1234

I think just 3

- mathstudent55

Let's use the distributive property first on the left side.
–(q + 14) = –3 + (–14)
-q + (-14) = -3 + (-14)

- mathstudent55

Now you see that -q must equal -3
That means q = 3, not -3

- mathstudent55

You are correct. q = 3

- anonymous

Yes you are correct but let @mathstudent55 explain to you why its that

- like1234

thx guys!

- mathstudent55

yw

- like1234

ok last thing
Use an addition property to solve for b.
–12 + 16 = 16 + b
A.
–28
B.
–12
C.
4
D.
12

- like1234

i think B

- anonymous

Correct

- like1234

thx

- mathstudent55

You want b alone on the right side.
Since 16 is being added to b, you need to add something to 16 to make it zero.
Additive inverses add to zero.

- anonymous

Its using communative property

- like1234

Got 100% thx sooooooooo much u guys really helped

- anonymous

Your welcome :P

- anonymous

Good job

- mathstudent55

If you add -16 to 16 you get zero because -16 is the additive inverse of 16.
The rule with an equation is you must add the same to both sides of the equation.
Since you need to add -16 to the right side, you must add -16 to the left side too.

- like1234

ok

- mathstudent55

|dw:1443638612995:dw|

- mathstudent55

|dw:1443638712071:dw|

- like1234

ok thx so much

- like1234

:)

- mathstudent55

As you can see, b = -12, as you had written.
Good job!

- mathstudent55

yw

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