Question

State the property that justifies the following: 9(x + 3) = 9x + 27

Answer 1

Additive Inverse

Distributive Property

Associate Property of Addition

Commutative Property of Addition

Answer 2

when you multiply an outer number (in your case 9) by the values in the parentheses, do you know what you are doing?

Answer 3

distributing

Answer 4

The distributive property because you are distributing the 9 to the x and the 3

Answer 5

perfect, so which property do you think it is?

Answer 6

so its distributive

Answer 7

if youre distributing, then it kind of already gives you your answer

Answer 8

ok thanks

Answer 9

sure thing :)

Answer 10

what about this one

Answer 11

3)(6)(9) = (6)(9)(3)

Multiplicative Identity

Additive Inverse

Distributive Property

Associate Property of Addition

Commutative Property of Addition

Commutative Property of Multiplication

Associate Property of Multiplication

Answer 12

communitive property of multiplication

Answer 13

cool thought so

Answer 14

Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. For example (2 * 3) * 4 = 2 * (3 * 4)

Answer 15

i disagree with that @sammyx335

Answer 16

ohh its associative

Answer 17

yea, thats what i would put

Answer 18

ok

Answer 19

what about this

Answer 20

careful, you're changing the positions of factors

Answer 21

(3)(6)(9) = (6)(9)(3)


ab = bc is what property ? :)

Answer 22

im having trouble understanding what you mean @ganeshie8

Answer 23

me to

Answer 24

@ganeshie8

Answer 25

in this example, there are three different variables that are being moved in their position of multiplication. in that, would it not be associative?

Answer 26

associative is about grouping

Answer 27

Where is Lord Ganesh?

Answer 28

a(bc) = (ab)c

is associative property

Answer 29

Notice that we're not changing the position of numbers here

Answer 30

variables*

Answer 31

so thats what this is(9)[(8)(7)] = [(9)(8)](7)

Answer 32

im still confused because (a)(bc) will still get you the same thing if a=1, b=2, c=3, 1(2*3) = (1*2)(3)

Answer 33

3 x 6 x 9 = (3x6) x 9 = 3 x (6x9) (associative)

3 x (6x9) = (6x9) x 3 (commutative)

Answer 34

Yes alygirl, (9)[(8)(7)] = [(9)(8)](7) is associative property

Answer 35

thanks

Answer 36

yes @TechnoSoul , thats the reason they are called properties of `equalities` :)

Answer 37

haha i understand that part, I'm just still a bit confused. oh well, its alright. I dont want to confuse @alyygirl anymore than i have already XD