Prove :- $$2+2=2\times2$$

Question

hartnn · Answer

both sides =4

parthkohli · Answer

Intuition, man, intuition.

parthkohli · Answer

Okay, so do you know that...$$\rm a + a + a\cdots(b~times) = a\times b$$?

jiteshmeghwal9 · Answer

ok ! @hartnn 

why $2+2 = 2 \times 2=4$ ?

jiteshmeghwal9 · Answer

yeah @ParthKohli :)

parthkohli · Answer

As I told you,$$\rm 2 + 2 = 2 + 2\cdots(2~times) = 2  \times 2$$

parthkohli · Answer

It's not a formal proof, but pretty decent.

jiteshmeghwal9 · Answer

ok ! so why this case is not with other numbers such as

why $3+3\neq 3\times3$

anonymous · Answer

because when you have 2x2, it means 2+2. if you have 3x3, it means 3+3+3, not 3+3. this also works with zero (0x0=0+0).

jiteshmeghwal9 · Answer

but my question is why 2*2 means 2+2 @etemplin :)

anonymous · Answer

multiplication is a shorthand for of addition
when you have some number n, n+n+n+n, can be rewritten as a product 4n
so for 2x2, you can rewrite it as 2+2 which = 2+2 = 4

jiteshmeghwal9 · Answer

hmm...

anonymous · Answer

it just happens to work that 2x2=2+2. theres nothing special about it

anonymous · Answer

multiplication just tells you how much is adding,
like 3x3 means you add 3, 3 times and so for 4n, it means you add n 4 times
so for 2x2 it means you add 2, 2 times

jiteshmeghwal9 · Answer

nice reply all of u :)

Thanx @jayz657 :)

anonymous · Answer

np glad i could help

jiteshmeghwal9 · Answer

:)