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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.
Does every number have an opposite?
It depends on what you mean by an opposite. Every real number has an additive opposite but 0 does not have a multiplicative opposite.
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.
What is a number that can be divided by some number number other than itself and one is called what?
The opposite of a prime number is a composite number.
What is the opposite side?
An "opposite side" depends on the shape that you have got. For a polygon with an even number of sides, (say 2n), the side which is opposite a given side is one that is nth from that side. In such a polygon a vertex does not have an opposite side. For a polygon with an odd number of sides, (say 2n+1), the side which is opposite a given vertex is one that is (n+1)th from that vertex. In such a polygon a side does not have an opposite side.
