- FUZZYBALL

Which statement is true?
A.
|–4| < 4
B.
|–1| < 0
C.
|–6| = –6
D.
|–14| > 10

- schrodinger

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- FUZZYBALL

I will fan and medal

- misty1212

HI!!

- mathstudent55

What is |-4| ?

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## More answers

- misty1212

you want to make a guess?

- FUZZYBALL

A

- mathstudent55

Do you know what absolute value is?

- misty1212

ok answer @mathstudent55 question first

- mathstudent55

|0| = 0
|positive number| = positive number
|negative number| = positive number

- FUZZYBALL

no i dont

- mathstudent55

The absolute value of a number is just the number with no sign.
If the number was positive or zero, the absolute value is just the number.
If the number was negative, the absolute value is just the number without the negative sign, so it is a positive number.

- anonymous

The lines represent the absolute value.
So for instance, if you had thr number -5, the absolute value of -5 would be 5 since absolute values cannot be negative.

- mathstudent55

Examples:
|1| = 1
|0| = 0
|-3| = 3
|-25| = 25
\(|\sqrt 2| = \sqrt 2\)
\(|-\sqrt 3 | = \sqrt 3\)

- anonymous

@mathstudent55 is correct.

- mathstudent55

Do you understand the absolute value now?

- FUZZYBALL

I think so..

- mathstudent55

Good.
Now look at choice A.
|-4| < 4
We are comparing |-4| with 4
What is |-4| equal to?

- FUZZYBALL

4?

- mathstudent55

Correct.
That means the statement in A is really
4 < 4
Is 4 less than 4?

- FUZZYBALL

no

- mathstudent55

Correct.
That means statement A is false.
We move on to B.

- mathstudent55

B. |–1| < 0
What is |-1| ?

- mathstudent55

Correct.
A. 1 < 1
Is that true or false?

- FUZZYBALL

false

- mathstudent55

Correct.
Move on to C.

- FUZZYBALL

C is true because 6=6

- mathstudent55

C. |–6| = –6
What is |-6| = ?

- mathstudent55

Not so fast.
What is |-6| = ?

- FUZZYBALL

6

- mathstudent55

That means C really is:
|–6| = –6
6 = -6
Is 6 equal to -6?

- FUZZYBALL

OH no

- mathstudent55

Correct.
By the process of elimination, the answer has to be D,
but since we are not lazy, and we are here to learn, we will look at D.

- mathstudent55

D. |–14| > 10
What is |-14| = ?

- FUZZYBALL

14

- mathstudent55

Correct.
D is:
|–14| > 10
14 > 10
Is 14 greater than 10?

- FUZZYBALL

yes

- FUZZYBALL

Thank you so much for your help

- mathstudent55

Excellent.
D is the correct answer since it is the only true statement among the choices.

- mathstudent55

Great job!

- FUZZYBALL

can you help me with a few more and check one i have already done?

- mathstudent55

Yes, I have about 10 minutes I can help

- FUZZYBALL

ok

- FUZZYBALL

What is |–12|? i put 12

- mathstudent55

Correct

- FUZZYBALL

Which list of values is ordered from least to greatest?
A.
|–5|, 0, 3, –|–4|
B.
–7, –|–3|, 0, |–4|
C.
–|6|, |–3|, 1, 4
D.
|–12|, –|–5|, 2, |–8|

- mathstudent55

Remember, the absolute value is only the number without a sign, so if the number is zero or positive, it's just the number. If the number is negative, just take out the negative sign and make it positive.

- mathstudent55

Take each choice and rewrite it by writing the correct absolute value.
Here is A.
A. |–5|, 0, 3, –|–4|
5, 0, 3, -4
|-5| = 5. You understand this, I'm sure.
Do you understand why -|-4| is -4?

- FUZZYBALL

yes because -I-4I it has and extra -

- mathstudent55

|dw:1441129271075:dw|

- mathstudent55

Exactly. See figure above.

- mathstudent55

Since a negative number is less than a positive number, the -4 at the end cannot be in order from least to greatest, so A. is not the answer.

- mathstudent55

Now let's look at B.
B. –7, –|–3|, 0, |–4|

- mathstudent55

-7 and 0 are done.
What is -|-3| = ?

- mathstudent55

Great job again!

- mathstudent55

It isn't but let's look at it.
C. –|6|, |–3|, 1, 4
-|6| = -6
|-3| = 3
Ok so far?

- FUZZYBALL

oh they tricked me :/

- mathstudent55

That means C is
-6, 3, 1, 4
3 > 1, so it is not in order from least to greatest.

- mathstudent55

Right. They try to trick you and you need to outsmart them with your knowledge of math.

- FUZZYBALL

ok do you have enough time for one more?

- mathstudent55

D. |–12|, –|–5|, 2, |–8|
Here you can tell it's not it just by looking at |-12|
The first number is 12, so this is not possibly in order.

- mathstudent55

No, sorry, gtg.

- mathstudent55

I'll be back in about 15-20 minutes.

- FUZZYBALL

okay thanks for your help!

- mathstudent55

You're welcome.

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