Question

Which equations show the associative property?

Select each correct answer.

(−1315+(−638))+(−47)=−(1315+638)+(−47)(−1315+(−638))+(−47)=−(1315+638)+(−47)

(−289+(−511))+(−1111)=(−1111)+(−289+(−511))(−289+(−511))+(−1111)=(−1111)+(−289+(−511))

−1720+(−18+(−378))=(−1720+(−18))+(−378)−1720+(−18+(−378))=(−1720+(−18))+(−378)

(−910+(−13))+(−113)=−910+(−13+(−113))

Answer 1

@mathstudent55

Answer 2

these are fractions

Answer 3

this is my last question

Answer 4

This is similar to the previous problem.
See where the numbers remain in the same order, but the parentheses group numbers together differently.

Answer 5

yes

Answer 6

should i link images

Answer 7

plz help

Answer 8

Well you should know what the associative property is first. Do you know?

Answer 9

yes i do :)

Answer 10

Great know take that and examine each answer. Find out which makes the most sense, and which does not.

Answer 11

can i link screen shots in openstudy?

Answer 12

ok

Answer 13

You just had a problem that is exactly like this one but with different numbers.
Go over the previous problem with my explanations until you understand it.
Then you should solve this one easily.

Answer 14

ok

Answer 15

There is always a "dumb" answer, my teacher always said. Try to see which one that is.

Answer 16

Where do you see the pattern

\((a + b) + c = a + (b + c) \) ?

Answer 17

Or listen to @mathstudent55. He knows way more than I do lol.

Answer 18

lol. it isnt d

Answer 19

Option A:

(−1315 + (−638)) + (−47) = −(1315+638)+(−47)
^
|
here you are factoring a -1.
this is not it

Answer 20

Good, now keep ruling out. For me it's A. What do you think?

Answer 21

Option B:

(−289+(−511))+(−1111)=(−1111)+(−289+(−511))

The numbers on both sides are the same and in the same order.
Notice on the left side -289 and -511 grouped together. Then -1111 is added.
What happens on the right side?

Answer 22

ok

Answer 23

so its a?

Answer 24

Totally fanning @mathstudent55

Answer 25

wait its not a and its not d

Answer 26

ikr

Answer 27

so its ether b and c

Answer 28

or both

Answer 29

I guess. Is there an option for both?

Answer 30

yea

Answer 31

In option B, the right side has the same numbers grouped differently, so option B is definitely associative property.

Answer 32

what about c :)

Answer 33

I gtg but good job @mathstudent55. And @DrummerGirl7 I hope you get the right answer :)

Answer 34

Now see if C and D are similar to A or B.

Answer 35

byeee :)

Answer 36

ok so a is wrong. b is right c is unknown and d is wrong? right?

Answer 37

i hope i get an A

Answer 38

my answer is b and c

Answer 39

Look at C and figure out what is happening with the parentheses between the left side and the right side of the equal sign.

Answer 40

its not correct i had to take a second look

Answer 41

omg computer is about to die!!

Answer 42

what would u say? just b/ or not

Answer 43

ok so it is c!

Answer 44

lets see what i get

Answer 45

So far we know:
A: no
B: yes
C: yes
D: we don't know yet

Answer 46

Now look at D.
Does D follow the pattern of B and C, or doesn't it?

Answer 47

i... i got a 40% :(

Answer 48

im still giving u a medal tho :)

Answer 49

The only change is grouping, so D is also associative.

Answer 50

ok thank u so much

Answer 51

Now we can conclude:
A: no
B: yes
C: yes
D: yes

Answer 52

thxx