Please, explain this: If a < 0, then 0 < -a
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Please, explain this: If a < 0, then 0 < -a

[From: ] [author: ] [Date: 11-11-12] [Hit: ]
a positive number.Negative a is on the right-hand side of zero.0 -If a -If A is greater than 0 then 0 is greater than -A.A = a positive number, -A = a negative number.0 is always greater than a negative number.......
If a < 0, then 0 < -a

Is there any rhyme or reason to this? :) I just plain don't get it.

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is it something like this?

if a=-1, then 0< -(-1)=1

Thanks?

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It is just a special case of if a -b
Multiply both sides with -1 and because you multiply with a negative flip the < sign.

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Visualize a number line with positive and negative numbers.

a is on the left-hand side of zero if a < 0.

That means that a is a negative number.

Negative a is, therefore, a positive number.

Negative a is on the right-hand side of zero.

0 < - a

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"If a < 0" means a is negative. The negative of a negative is a positive, so -a is positive, i.e. 0 < -a.

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If A is greater than 0 then 0 is greater than -A.
A = a positive number, -A = a negative number.
0 is always greater than a negative number.
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