1. If you multiply any negative rational number by its reciprocal you get ____
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Answer:
loop
Step-by-step explanation:
Let's -a/b be the negative rational number.
It's reciprocal is -b/a
Multiplying,
-a/b * -b/a = ab/ba = ab/ab = 1
Some points:
- By law of commutative, ab = ba
- (-) × (-) = (+)
- Reciprocal of a/b is 1/(a/b) = b/a
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