(1) 0(2) 1(3) -1(4) there is no such real number
I think the last time I changed them was in 1979!!!!! Wow! Maybe it's time!
2 months ago. had to winterize
(4) no such real number exists. Zero cannot have a multiplicative inverse because no number times zero is 1. One's multiplicative inverse is one, but its additive inverse is -1. -1's multiplicative inverse is -1 (because -1 times -1 is 1), but its additive inverse is +1. Let x be a number with a multiplicative inverse of 1/x and and additive inverse of -x. Then 1/x -x Multiplying both sides by x, we get: 1 -x^2 -1 x^2 x +/- sqrt(-1) x +/- i (the imaginary number) So, no real number has these properties, but the imaginary number i does.
