Question

Please help, I will give a medal :)


Name the algebraic property demonstrated in the example below:
2 + x + y = x + 2 + y

Answer 1

A. Commutative Property of Addition
B. Associative Property of Addition
C. Reflexive Property
D. Transitive Property

Answer 2

first. tell me the definitions of each

Answer 3

yeah see. thats what I need help on. I don't understand what is what.

Answer 4

but, do you know the definitions? from the book?

Answer 5

not exactly. I did this a while ago, and now i have to re-do this assignment for a better grade.

Answer 6

so, i guess I could say I dont remember anything..

Answer 7

ok, can you look them up then please? unfortunately, you just have to memorize these def. in order to apply them

Answer 8

sure.

Answer 9

ok good, once you do, we will dissect them until you understand, sound good?

Answer 10

yup :)

Answer 11

A property of real numbers that states that the sum of two terms is unaffected by the order in which the terms are added < That is Commutative property of addition.... but I don't really get it..

Answer 12

is it like an equation that can be flipped around, and it wont change the answer?

Answer 13

I don't want to explain until you do all of the definitions.

Answer 14

(explaining them all should make the answer obvious)

Answer 15

ok.

Answer 16

alright, I looked them all up, but it still doesn't make any sense.

Answer 17

ok, so let's go backwards the transitive property is basically a logic puzzle. ie. if all dogs are brown and jamie is a dog. does it follow that jamie is brown?

Answer 18

yes.

Answer 19

ok so in math, that is written like this:
if a=b and b=c does a=c?

Answer 20

ok

Answer 21

do you understand that?

Answer 22

yeah

Answer 23

alright so does this problem use that logic at all?

Answer 24

no

Answer 25

good so we can cross that one off our list of possible answers. now for the reflexive property

Answer 26

yeah

Answer 27

do you understand that one?

Answer 28

no not really, but I have a feeling that its not that one either...

Answer 29

well first let's understand it. so if you had an identical twin and they were exactly the same as you in every way you would be 'equal' right?

Answer 30

i guess..

Answer 31

in math we say a=a or 1=1 2=2 you can't make something not equal itself aka 2+5=2+5 no matter what

Answer 32

order, and orientation matter

Answer 33

follow?

Answer 34

Associative - the order does not matter when you group numbers and multiply/add them.
Commutative - the order when adding or multiplying numbers does not matter.
So which one is it?

Answer 35

http://www.mathsisfun.com/associative-commutative-distributive.html
read that for more detailed explanation/examples.

Answer 36

so its commutative? sorry. I had to do something real quick.

Answer 37

yeah.

Answer 38

ok thanks :)