What is the reciprocal of negative one?
1/1 = 1
a positive/negative = negative
Why is the reciprocal of the opposite of a nonzero number the opposite of the reciprocal of the number?
Taking the reciprocal (multiplicative inverse) does not affect the positive or negative status of an integer. So the reciprocal of a negative number is negative and the reciprocal of a positive number is positive. The reciprocals will be opposites (positive/negative) just as the original numbers were.
Negative reciprocal is something you use in math that often times help you find a perpendicular line to an equation. ex: for an equation with a slope of 5x, the recriprocal would be -1/5x. what you do is you flip flop the bottom and the top, 1/5x. That is the reciprocal alone and to make it a negative reciprocal you just simply add the negative sign.
Answer: -a/b is a fraction, its reciprocal is -b/a Why: Let's look at what reciprocal does. Take a fraction like 1/3 and its reciprocal is 3 . That is 1/ (1/3) and if we multiply the number by its reciprocal we get one. So now take -1/3. The question is whether the reciprocal is 3 or -3. If we multiply - 1/3 by 3 we have -1 and if we multiply it by -3 we…