i need some one to show me step by step how to do this /4c-2/, c= -3 it's Absolute value

- Sup_open~study

i need some one to show me step by step how to do this /4c-2/, c= -3 it's Absolute value

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- anonymous

plug in -3 for c, what do you get?

- Sup_open~study

let me see :)

- Sup_open~study

-14
?

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## More answers

- Sup_open~study

is that right ?

- anonymous

right, the value of the expression inside the absolute value is -14. But, what does absolute value mean?

- anonymous

examples of absolute value
|x|=x
|-z|=z
|100|=100
|-345|=345
etc etc etc

- Sup_open~study

i'm sorry an you explain more

- anonymous

Do you know the definition of absolute value?

- Sup_open~study

i'm sorry i don't

- Sup_open~study

:(

- anonymous

Absolute value is the numerical value of a number without considering the positive or negative sign. So, the absolute value of 10 is 10. The absolute value of -2 is 2. It is just the value of the number. It is always positive.

- Sup_open~study

o ok so the "-3" is just a 3 and not a "-3 " so the answer would be 14

- anonymous

You are half right...

- anonymous

Let's back up...

- anonymous

"-3" is still -3. That doesn't change. The problem says that c = -3. So, c = -3

- anonymous

But, the problem says that you have to find /4c-2/ when c = -3

- anonymous

So, plug in -3 for c just like you did before,
/4(-3)-2/ = /-12-2/ = /-14/
So, when you plug in -3 for c, the expression equals /-14/.
But, the absolute value of -14 is 14.

- Sup_open~study

o ok thanks man were did you get the ? /-12-/ + /-14? ?

- anonymous

Where did I get -12???

- Sup_open~study

yeah :)

- anonymous

-12 is the product of 4 and -3

- anonymous

When you plug in -3 for c, you multiply 4 x -3

- Sup_open~study

o i see now wow xD thanks man for all of your help

- anonymous

You're welcome. If you have time, try these to make sure you know how to do absolute values:
Find /4c-2/ when c = 3
Find 4/c/-2 when c = -3
Find 4c - /-2/ when c = -3

- Sup_open~study

ok awesome man thanks i will do :)

- Hero

|4c - 2|
Do you know how to use the shift button @teic85?

- anonymous

No, how does that work?

- Hero

Hold down the shift button when pressing the \ key

- anonymous

Oh I see, I was simply using the same notation as "sup"

- anonymous

Thanks for pointing that out, though :)

- Hero

Hold down the shift button when trying to post || absolute value symbols

- anonymous

Like this?
|4c-2|

- Hero

Precisely

- anonymous

Thanks!

- anonymous

Isn't there a keyboard shortcut for superscript too? Might come in handy for exponents

- Sup_open~study

i am stuck on this one -/-10-z,/z
=-3

- Sup_open~study

:(

- Sup_open~study

i got 30

- Sup_open~study

but i think it is wrong

- anonymous

Ok, rewrite the expression after plugging in z = -3

- anonymous

Also, use |, it's the key above the enter key. You must use the shift key

- Sup_open~study

-/10 (-3)/
like that ??

- anonymous

Nope, you are using /. Press shift and \

- Hero

lol you're teaching people already @teic85

- anonymous

And no, the expression is missing a minus

- Sup_open~study

i no clue what the shift thing is lol xD

- anonymous

lol yes @Hero, that's the purpose of Open Study right? :D

- Sup_open~study

*have

- Sup_open~study

xD

- Hero

:D

- anonymous

haha ok, @Sup_open~study . Let's focus on the problem first.

- Sup_open~study

i think i am so post to - it and not x it ?

- anonymous

Correct, you have to subtract z not multiply
You wrote -/10 (-3)/
The original expression is -|-10-z|

- anonymous

Be careful, you also missed the negative in front of the 10

- Sup_open~study

o i see yeah i was writing it wrong xD

- anonymous

Rewrite the expression after plugging in -3 for z

- Sup_open~study

-/-10-3/ = 13 ?

- anonymous

z = -3, but the expression is -10 MINUS z.
So, it should be -10 - (-3) which is actually -10 + 3

- Sup_open~study

so it's 7 ??

- anonymous

What is 7?
You are jumping ahead... :)

- Sup_open~study

sorry xD

- anonymous

haha it's ok :)

- anonymous

When you plug in -3 for z, you get:
-|-10 - (-3)|

- anonymous

That look about right to you?

- Sup_open~study

yeah thanks :)

- anonymous

Ok, so we know that minus -3 is actually +3. So rewrite the entire expression with +3 in that spot

- Sup_open~study

ok so it's -|-10 - (3)|

- Sup_open~study

?

- anonymous

Not quite,
Minus -3 is +3. So, it is -|-10+3|

- anonymous

a negative and a negative make a positive

- Sup_open~study

o i see but how would i solve that ??

- anonymous

ok, well now that that pesky z is gone, we can just focus on what is inside the absolute value. What is -10 + 3?

- Sup_open~study

- 7 so it's just 7 ?

- anonymous

The absolute value of -7 is 7. Yes.

- Sup_open~study

o ok i see now but on the answer for the study guide he put -7 why not 7 ??

- anonymous

What's in front of the absolute value?

- Sup_open~study

i can't tell what you are looking for sorry but he had like a -1 -10 + -7 ?

- anonymous

This is the expression:
-|-10+3|. What is in front of the absolute value?

- Sup_open~study

a negative

- Sup_open~study

?

- anonymous

Right

- anonymous

So look at this...
|-7| = 7
What is -|-7| ?

- Sup_open~study

-7

- Sup_open~study

?

- anonymous

Since the negative sign is in front, it makes the expression negative. So -7 is the answer.

- anonymous

-|-7| is different than |-7|

- Sup_open~study

o so it's just 7

- anonymous

No, it isn't just 7.

- anonymous

The expression in your problem has a negative in front like this,
-|-7|

- Sup_open~study

yes

- anonymous

So, the absolute value of -7 is 7. But, then you have to add the final negative (the one in front). So, it's -7

- Sup_open~study

ok so when you have the - in front of the problem the answer is most likely going to be a - ???

- anonymous

Don't think "most likely". You'll get the wrong answer. That's just guessing.

- anonymous

Think about this...
what is -2(1 + 3) ?

- Sup_open~study

-8

- anonymous

Right. The negative in front changes it to negative. So, when you have a positive number times a negative number you get a negative.

- Sup_open~study

o i see so when you change the answer to positive the negative will times it and that will make it an negative ?

- anonymous

Yes

- anonymous

The same is true for absolute values.
The negative in front of -|-7| is like multiplying -1 times |-7| (what your teacher had in your notes)

- Sup_open~study

o i see thanks man you have been a huge help i may have failed my test tomorrow if it was not for you

- anonymous

I'm glad to help. Just be careful not to forget negatives. They matter a lot.

- Sup_open~study

yeah i know i got to keep on practicing those xD

- anonymous

Exactly. If you practice, you'll get more comfortable. Eventually, you'll be able to do it in your head :)

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