Why does multiplying two negative numbers equal a positive number?

Question

Why does multiplying two negative numbers equal a positive number?

In: 1210

Answer 1

Consider 2 x 3 = 6. “Two times three is six.”

2 x -3 = -6 -> “Two, times *the opposite of* three, is *the opposite of six*.”

-2 x 3 = -6 -> “**The opposite of** two, times three, is **the opposite of** six.”

-2 x -3 -> “**The opposite of** two, times *the opposite of* three, is **the opposite of** *the opposite of* six.” -> = -(-6) = 6.