A number has only one reciprocal, defined as: ' 1 ' divided by the number.
Strange as it may seem, the reciprocal of -1 is -1 .
Chat with our AI personalities
No, the product of reciprocals is 1.
Every pair of mutual reciprocals has a product of 1 .
If you multiply two reciprocals, their product must be 1.
Two numbers are negative reciprocals if their product is -1. The numbers 1/2 and -2 are negative reciprocals. Their product is -1. This is often seen in problems involving the slopes of two lines. The slopes of perpendicular lines are negative reciprocals. Their product is -1.
No, the Sum of two reciprocals isn't 1. However, the PRODUCT of two reciprocals is 1. For example, if you multiply 1/2 with 2/1, you'd multiply the two numeraters, which would be 1X2=2, and the two denominators, which is 2X1=2. this would cause the answer to be 2/2, or 1.