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MvArrow
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Absolute Modulus difference 12 May 2017, 06:36
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Hello everyone:

I would like to ask a small (and maybe stupid) question:

Are there any differences between writing |a| = |b| and |a| = b ?

Or in both cases it's A = B or A = -B ?

Thanks a LOT

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abhimahna
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Absolute Modulus difference 12 May 2017, 07:01
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MvArrow
Hello everyone:

I would like to ask a small (and maybe stupid) question:

Are there any differences between writing |a| = |b| and |a| = b ?

Or in both cases it's A = B or A = -B ?

Thanks a LOT
Show more

Hi MvArrow ,

No, if we are saying |A|= |B| we cannot say |A| = B, because it may happen that b is -ve. In that case, |a| will become -ve but this is against the modulus rules.

So, |A| = B is correct only when we are given that B is positive.

Let me know in case of more doubts.
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MvArrow
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Absolute Modulus difference 12 May 2017, 07:24
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abhimahna
MvArrow
Hello everyone:

I would like to ask a small (and maybe stupid) question:

Are there any differences between writing |a| = |b| and |a| = b ?

Or in both cases it's A = B or A = -B ?

Thanks a LOT

Hi MvArrow ,

No, if we are saying |A|= |B| we cannot say |A| = B, because it may happen that b is -ve. In that case, |a| will become -ve but this is against the modulus rules.

So, |A| = B is correct only when we are given that B is positive.

Let me know in case of more doubts.
Show more

Thank you for your fast reply!
What I mean is (please tell me if my reasoning is correct):

If I say |A| = |B|, I am saying A = B or A = -B, right?

Instead, what |A| = B means?

Thank you :-D
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Absolute Modulus difference 12 May 2017, 07:34
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MvArrow

Thank you for your fast reply!
What I mean is (please tell me if my reasoning is correct):

If I say |A| = |B|, I am saying A = B or A = -B, right?

Instead, what |A| = B means?

Thank you :-D
Show more

|A| = |B| means either A = B or A = -B.

But |A| = B means (B is positive or 0) and (A could be -ve, +ve or 0)
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Absolute Modulus difference 12 May 2017, 07:38
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MvArrow
Hello everyone:

I would like to ask a small (and maybe stupid) question:

Are there any differences between writing |a| = |b| and |a| = b ?

Or in both cases it's A = B or A = -B ?

Thanks a LOT
Show more


Hi,

Let's see the two cases..
|a|=|b| ...
This means that the numeric value of a and b without the sign is same...
So on number line both a and b can lie on either side of 0..
If a=2, b can be 2 or -2.... And if a=-2, b can again be 2 or -2..
|a|=b...
This means the NUMERIC value is same and B will be positive and a can be anything.
So on number line B will be on POSITIVE side of 0 and a can be on either side of 0..
If a=2, b=2... If a=-2, b is again 2
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MvArrow
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Absolute Modulus difference 12 May 2017, 08:19
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Perfect! Thank you for the support! Kudos to everyone :-D

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!