If two numbers are reciprocals, then their product is 1. If the product of two numbers is 1, then they are reciprocals.
Suppose the two numbers are x and y. Then, the sum of THEIR reciprocals is 1/x + 1/y = y/xy + x/xy = (y + x)/xy = 7/25
1/x + 1/y = (y+x)/xy But y + x = sum = 150, and xy = product = 40 So sum of reciprocals = 150/40 = 3.75
If you multiply two reciprocals, their product must be 1.
I have a feeling that you wrote "opposite reciprocals"where you only needed to write "reciprocals".Their product is ' 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.
(50 + 15) = 65 (50 x 15) = 750 1/50 + 1/15 = 13/150
The Two numbers are reciprocals of each number
They're known as reciprocals.
The numbers are reciprocals of one another.