Question

please help!!!
Simplify, showing your steps. Tell the property you used in each step.
(will give a medal to first person)

1/4 (1x4) + (-4 +4)

Answer 1

ok so first I will _Property 1__ \[1/4\] to the \[(1*4)\]

Which property did I use?

Answer 2

PS this yields \[1/4\]

Answer 3

is it multiplicative property?

Answer 4

ok I'm sorry I only just realized that this is not algebra but numeric only please allow me to restart:
Do you know the acronym: Please Excuse My Dear Aunt Sally?

Answer 5

yeah this right ?
please= parenthesis
excuse= exponent
my= multiply
dear= divide
aunt= add
sally=subtract

Answer 6

good And that is your order of operations so let's start, what do you think is your first step?

Answer 7

i look at the parenthesis first

Answer 8

good let's start with the easy one (-4+4)
Do you know what this equals?

Answer 9

yeah zero :)

Answer 10

good!! ( you would not believe how many people cannot do that ) now which property did you use?

Answer 11

if you have a list it would be a good idea to look at it

Answer 12

ummmm..not sure & . i dont have a list so is it additive property ?

Answer 13

is it supposed to
be this

Answer 14

yeah that @Tahmina

Answer 15

wait no the x^4 part no
its just 1 times 4

Answer 16

well let us first list all of our properties-Just so I know how in depth I need to go what class is this for?

Answer 17

algebra 1

Answer 18

college or hs?

Answer 19

high school. i have geometry but im doing online classes of algebra 1
long story..

Answer 20

ok that helps me so the axioms(or properties) of a field which is what you are doing the terminology may be a little advanced but it could be useful so they are:
\[ a+-a=0 [Additive-inverse]\]\[a+0=a[Additive-Identity]\]\[1*a=a [Multiplicative-Identity]\]\[\frac{ 1 }{ a}*a=1[Multiplicative-Inverse]\]

Answer 21

now we want to apply these properties to our problem

Answer 22

let us number them 1-4 to make our lives easier

Answer 23

so what form is (-4+4)?

Answer 24

additive- inverse?

Answer 25

good! now what does that leave us with?

Answer 26

is it this ?