Might have known this, but How?

Keerthivasan Ravisankar

@keerthivasan-hrKQir • Oct 22, 2024

Oct 22, 2024

1.2K

'- x - = +'
'+ x + = +'
'- x + = -'
'+ x - = -'
but how do we get this, the proof..?😉😐

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Kaustubh Katdare

@thebigk • Dec 6, 2012

I don't know if I can provide a 'mathematical proof'. But if you realise that 'x' (multiplication) is basically addition and '-' is basically 'taking out' then everything will quickly make sense.
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Keerthivasan Ravisankar

@keerthivasan-hrKQir • Dec 7, 2012

Anyone have any idea to this
😒😕
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Ramani Aswath

@ramani-VR4O43 • Dec 8, 2012

Square of any number, whether positive or negative is positive.
A negative number -n can be written as -1 x n. Consider -m x -n. This can be rewritten as ((-1) x m) x ((-1) x n) = ((-1) x (-1)) x (m x n) = (-1)^2 x mn = 1 x mn = mn.
As for the other two cases of multiplying two unequal signs, as #-Link-Snipped-# says it is just addition.
This article will help:
<a href="https://www.tpub.com/math1/4b.htm" target="_blank" rel="nofollow noopener noreferrer">Multiplication of signed numbers</a>

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Keerthivasan Ravisankar

@keerthivasan-hrKQir • Dec 9, 2012

bioramani
Square of any number, whether positive or negative is positive.

(-1)^2 x mn = (-1)(-1)xmn =1 x mn = mn.
it is related to my question but not related to it sir...!!!
(-1)^2 = [(-1)(-1)] =+1
but how do we get '- - =+'
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Ramani Aswath

@ramani-VR4O43 • Dec 9, 2012

Subtraction, addition, division and multiplication are just names. They get meaning only when attached to numbers. -m x -m is a valid statement, which is the reason for the earlier statement.
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Keerthivasan Ravisankar

@keerthivasan-hrKQir • Dec 9, 2012

#-Link-Snipped-#
do you have any guess..?

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