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What are similarities and differences between the opposite of a non-zero number and the reciprocal of that number?
The answer depends on what you mean by the "opposite" of a number. A reciprocal is one type of opposite: it is the multiplicative opposite.
When you divide one fraction and another why do you have to turn it into a reciprocal?
To divide by a fraction, you multiply by its reciprocal. This is related to the facts that (1) division is the opposite of multiplication, and (2) a reciprocal is the multiplicative "opposite" of a number.
What is the difference between opposite and reciprocal?
nothing
What is the property of the reciprocal of the opposite of a number?
The property of the reciprocal of the opposite of a number is: Reciprocals of inverse values are themselves inverse values. i.e. for b = (-1)a , the reciprocal 1/b = (-1) 1/a The negative or positive status of a reciprocal is the same as that of the original number.
What is the product of a number and a recipical?
The product of a number and its reciprocal is one. A reciprocal is, quite simply, the opposite of the number.
