Which expression is less than -(-I-4.2I)?

- anonymous

Which expression is less than -(-I-4.2I)?

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- anonymous

@jim_thompson5910

- jim_thompson5910

what is `I-4.2I` equal to?

- anonymous

"brain fart" i dont know...

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## More answers

- jim_thompson5910

how far is -4.2 from 0 on the number line?

- jim_thompson5910

|dw:1442363852087:dw|

- anonymous

-4.2? or 4.2?

- shreenithaa

4.2 since the jumps are considered as positive

- jim_thompson5910

exactly as shreenithaa said
the distance is never negative

- jim_thompson5910

it doesn't make sense to have the distance be say -20 miles

- anonymous

Yup. lol

- jim_thompson5910

so that is why `|-4.2| = 4.2`

- jim_thompson5910

the absolute value represents distance from 0
the absolute value result is never negative

- shreenithaa

maybe the "expression" is (there can be any but has to be less than the solution the problem above"
10.42/x

- anonymous

-(-4.2)
I-4.2I
I-(-4.2)I
-I-(-4.2)I
These are my possible answers.

- shreenithaa

why do u need the one at the end and it has to have a variable in order for it to be an expression

- anonymous

I have no idea?

- anonymous

I am just putting what it says in my study book.

- shreenithaa

now im confused????? :(

- shreenithaa

what grade r u in

- anonymous

11th.

- shreenithaa

then i wont understand
i am in 8th
no wonder why
anyways just incase, what book do u have

- anonymous

Its an algebra II book.

- shreenithaa

i have algebra 1 maybe i dont have the answer sorry :(

- anonymous

Its fine:) thanks for trying!

- shreenithaa

ur welcome..

- anonymous

@jim_thompson5910 got anything?

- shreenithaa

i think i got something i searched up expression in google and this is what i got
In mathematics, an expression (or mathematical expression) is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, punctuation, grouping, and other aspects of logical syntax.

- jim_thompson5910

so what we did so far is compute that I-4.2I = 4.2
we can replace the entire `I-4.2I` with `4.2`
so `-(-I-4.2I)` becomes `-(-4.2)`
agreed?

- anonymous

Would that be the answer?

- jim_thompson5910

no we're working to evaluate what number `-(-I-4.2I)` is equal to. Don't worry about the final answer right now

- anonymous

Aren't we trying to find what is less?

- anonymous

Or do you want to find what is equal first?

- jim_thompson5910

well the first step is to figure out what number `-(-I-4.2I)` is equal to
then we do the same with each answer choice
once we get single numbers, we can do comparisons to see which is smaller

- anonymous

So its equal to 4.21? or? sorry I really suck at math.

- jim_thompson5910

hopefully you agree that |-4.2| = 4.2
and hopefully you see why `-(-I-4.2I)` becomes `-(-4.2)`

- jim_thompson5910

what would `-(-4.2)` turn into?

- anonymous

I do agree and see.

- anonymous

Wouldn't it be 4.2? or -4.2? It can't be negative right?

- jim_thompson5910

the two negatives cancel to form a positive

- anonymous

so 4.2

- jim_thompson5910

yes

- jim_thompson5910

in the end, `-(-I-4.2I)` boils down to the single number `4.2`

- anonymous

But there's three negatives? do they all cancel out eachother?

- jim_thompson5910

for each of these answer choices below
-(-4.2)
I-4.2I
I-(-4.2)I
-I-(-4.2)I
you'll do the same thing: simplify as much as possible
after simplification, you compare

- jim_thompson5910

but remember, I-4.2I turned into +4.2 or just 4.2

- jim_thompson5910

which is why we got to -(-4.2)

- anonymous

So I think the last one is the answer.

- jim_thompson5910

\[\Large -(-|-4.2|)\]
\[\Large -(-\color{red}{|-4.2|})\]
\[\Large -(-\color{red}{4.2})\]

- jim_thompson5910

`So I think the last one is the answer.`
why do you think that?

- anonymous

I changed my mind.

- anonymous

For all the equations, you could simplify is pretty much to all the same thing. right?

- jim_thompson5910

let's go through all the choices
choice A
-(-4.2) simplifies to ???

- anonymous

4.2

- jim_thompson5910

choice B
I-4.2I simplifies to ???

- anonymous

4.2

- jim_thompson5910

choice C
I-(-4.2)I simplifies to ???

- anonymous

4.2

- jim_thompson5910

choice D
-I-(-4.2)I simplifies to ???

- anonymous

-4.2?

- jim_thompson5910

good

- anonymous

Thats why I though it was the answer. It ends up being less?

- jim_thompson5910

so the problem boils down to this
question: which number is less than 4.2?
choice A) 4.2
choice B) 4.2
choice C) 4.2
choice D) -4.2

- anonymous

D:)

- jim_thompson5910

yes it's choice D. I just wanted to be sure you understand why it's D

- anonymous

I did! from the beginning. Just over thought, and said "wait no, I'll sound stupid"..

- jim_thompson5910

Don't worry about sounding stupid. Most often, you have the right answer on the first try. So go with your gut

- anonymous

Which I should of explained in the beginning. Because I just sounded super stupid lol

- jim_thompson5910

you did great

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