why negative reciprocals always have a product of negative 1

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25-03-2016
Mathematics

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why negative reciprocals always have a product of negative 1

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RASEA23 RASEA23 · Answer 1 · 2016-03-25T22:42:31+01:00

RASEA23 RASEA23

25-03-2016

They are like that because the negative reciprocal is a positive reciprocal. The product of a number and its reciprocal is 1 and a negative multiplied by a positive is negative.

Example: -4/5
Reciprocal of -4/5 is 5/4
-4/5 x 5/4 = -1

Hope this helps :)

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AL2006 AL2006 · Answer 2 · 2016-03-25T23:29:17+01:00

AL2006 AL2006

25-03-2016

The negative reciprocal of (a/b) is (-b/a).

Multiply those, then simplify, and you'll see it right away.

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