Will medal best answer and possibly fan! what property is this? (34 + 11) + 9 = (11 + 34) + 9 a. commutative----\ b. associative------ >properties c. opposite of a sum/
Associative property
what about 25 + (-15 + 4) = (25 + -15)) + 4
That would be the Associative Property as well.
When adding/subtracting, you are just switching the numbers that the parenthesis are around. In the Order of Operations, this is allowed in addition/subtraction but not multiplication or division.
Do you understand?
and -(-21 + 8) = 21 + (-8)
Um, @Abbles is incorrect. Look closely and you will see your problem is not the same as his/her example. "Associate" and "associative" means "who you hang out with". Your problem never changes what pnumbers are grouped together, it just changes the order, so it is not associative
@Abbles is, however, correct on the second one.
then what is it on the first?
@mjdennis The first equation is the Associative Property. ?
Associative Property: a + (b + c) = (a + b) + c
Commutative Property: a + b = b + a
I agree with @mjdennis `(34 + 11) + 9 = (11 + 34) + 9` is commutative. The terms 11 and 34 swap places and change the order of addition `25 + (-15 + 4) = (25 + -15) + 4` is associative. The parenthesis move around to form another group.
Ah I see. Didn't look closely enough at the numbers. So it's Commutative because the numbers in the parenthesis don't change?
@Abbles , like I said, the original problem does not move the groupings around, it is NOT associative. It moves the order inside the parentheses. That is a different property. @Emilyisanemoji , if I wanted to ell you outright, I would have done so. I wanted you to go back and read the stuff that @Abbles was trying to use to teach you, and let you think for yourself.
what about -(-21 + 8) = 21 + (-8)
Pretend that it is (-1) * (-21 + 8) instead. How did they move the -1 to both parts of the answer = 21 + (-8) ?
umm...............they multiply?.....
@Abbles , yep, commutative. _Commuters_ move to and from work. Here in math, commutative means we don't care where we move things having the same operation, like addition
im not following...
@Emilyisanemoji multiply is part of it. On the left, there is only one -1. On the right, the -1 has been spread over two numbers to multiply them. It's a tough one, but the property is another meaning for "to spread out"
To ... distribute? Distribut-ive property?
im sorry, but i really, truley dont understand. distributive property isnt one of my answers.
OH. Oops. Let me think
Google says "The opposite_of_a_sum of real numbers is equal to the _sum_ of the _opposites_." (hotmath.com/hotmath_help/topics/properties-of-addition.html) -(-21 + 8) is the opposite of (-21 + 8) 21 is the opposite of -2, and +8 is the opposite of -8
I mean, 21 is the opposite of -21
and.....?
hello?
And the fact that I used the words "the opposite_of_a_sum" really gives you no clue as to which of your choices is correct?
Go back and read your choices.
all it is |dw:1465952098597:dw|
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