if we multiply two negetive numbers then we get positive number this why? what is the logic??

Question

if we multiply two negetive  numbers then we get positive number this why? what is the logic??

sparrow2 · Answer

it is just like axiom,

nnesha · Answer

bec
$\huge\color{green}{{\rm negative ~\times ~negative ~=positive}}$
that's why ;-)
:D

nnesha · Answer

https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/v/why-a-negative-times-a-negative-is-a-positive

anonymous · Answer

that is actually a very very good question
the link between multiplication and addition is always the distributive property 
using it, you can show that $(-a)\times (-b)$ is the additive inverse of $-a\times b$

sparrow2 · Answer

so why 2+2=4?  in 10 numeral system

sparrow2 · Answer

why not? :D

anonymous · Answer

Nnesha im satisfied with your ans.my question is that why this is happened??

amistre64 · Answer

what is multiplication?  what is it short cutting?

amistre64 · Answer

lets say we want to add together 500 of the number 3

3+3+3+3+...+3  we can do it by addition, but its rather labor intensive.

if we factor our a 3

(1+1+1+1+..+1)*3 = 500(3)

multiplication is just faster addition

anonymous · Answer

Positive and negative are opposites of each other. In other words, negation of one thing results in other.
i.e., if you negate a positive, it will become negative. On the similar terms, if you negate a negative, it will become positive.

So, when u do, -1*-1, you are basically negating a negative number, which will ultimately return into a positive number.

anonymous · Answer

i know but what is the reason??

anonymous · Answer

- multiply - we get + any logic??

amistre64 · Answer

say we want to add up 500 of the number -3

(-3) + (-3) + (-3) + ... +(-3)

(1+1+1+1+..+1)*(-3) = 500(-3)
---------------------------------

subtracting 500(-3) from itself should give us zero

500(-3) - 500(-3) = 500(-3-(-3)) = 0
---------------------------------

the 500 is superfluous

-3 -(-3) = 0

we also know that 

-3+3 = 0

-3+3 = -3-(-3) , add 3 to each side

3 = -(-3)

amistre64 · Answer

of course the number 3 is nothing special, and any real number suffices, say x

x = -(-x)

amistre64 · Answer

might be a couple of extra steps, but it still shows the logic