I will fan and medal
What is |-4| ?
you want to make a guess?
Do you know what absolute value is?
|0| = 0 |positive number| = positive number |negative number| = positive number
no i dont
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.
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.
Examples: |1| = 1 |0| = 0 |-3| = 3 |-25| = 25 \(|\sqrt 2| = \sqrt 2\) \(|-\sqrt 3 | = \sqrt 3\)
Do you understand the absolute value now?
I think so..
Good. Now look at choice A. |-4| < 4 We are comparing |-4| with 4 What is |-4| equal to?
Correct. That means the statement in A is really 4 < 4 Is 4 less than 4?
Correct. That means statement A is false. We move on to B.
B. |–1| < 0 What is |-1| ?
Correct. A. 1 < 1 Is that true or false?
Correct. Move on to C.
C is true because 6=6
C. |–6| = –6 What is |-6| = ?
Not so fast. What is |-6| = ?
That means C really is: |–6| = –6 6 = -6 Is 6 equal to -6?
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.
D. |–14| > 10 What is |-14| = ?
Correct. D is: |–14| > 10 14 > 10 Is 14 greater than 10?
Thank you so much for your help
Excellent. D is the correct answer since it is the only true statement among the choices.
can you help me with a few more and check one i have already done?
Yes, I have about 10 minutes I can help
What is |–12|? i put 12
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|
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.
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?
yes because -I-4I it has and extra -
Exactly. See figure above.
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.
Now let's look at B. B. –7, –|–3|, 0, |–4|
-7 and 0 are done. What is -|-3| = ?
Great job again!
It isn't but let's look at it. C. –|6|, |–3|, 1, 4 -|6| = -6 |-3| = 3 Ok so far?
oh they tricked me :/
That means C is -6, 3, 1, 4 3 > 1, so it is not in order from least to greatest.
Right. They try to trick you and you need to outsmart them with your knowledge of math.
ok do you have enough time for one more?
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.
No, sorry, gtg.
I'll be back in about 15-20 minutes.
okay thanks for your help!