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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.
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.
How is the opposite of a number different from the reciprocal of a number?
"opposite" is defined in the context of some operation. While the opposite of a number in the context of multiplication is the reciprocal, there are other possible contexts: The opposite of a number, x, in the context of addition, is its negative, -x. The opposite of a number, x, in the context of its logarithm, is its exponentiation, -x.
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 opposite and the reciprocal of -8584073464?
The opposite is 8584073464 while the reciprocal is -1/8584073464. If you mean the opposite of the reciprocal of -8584073464 then is 1/8584073464.
