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Taking the reciprocal (multiplicative inverse) does not affect the positive or negative status of an integer. So the reciprocal of a negative number is negative and the reciprocal of a positive number is positive. The reciprocals will be opposites (positive/negative) just as the original numbers were.

Q: Why is the reciprocal of the opposite of a nonzero number the opposite of the reciprocal of the number?

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The product of any nonzero real number and its reciprocal is the number 1. This can be mathematically given as n multiplied by 1/n, where n represents the nonzero real number. The product of these two terms is 1.

Actually the reciprocal of any number is that number in the denominator instead of in the numerator. The reciprocal of -3 is 1 over -3.

Yes, when a nonzero integer is divided by it's opposite it's value equals -1

Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)

A quantity which does not equal zero is said to be nonzero.

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Because "opposite" doesn't mean anything with respect to numbers, or rather, it doesn't have a unique and definite meaning with respect to numbers.

What is the inverse reciprocal of 0.01

The product of any nonzero real number and its reciprocal is the number 1. This can be mathematically given as n multiplied by 1/n, where n represents the nonzero real number. The product of these two terms is 1.

Let's say that the nonzero real number is n. Then the reciprocal would be (1/n). So the product is the following n*(1/n)=(n/n)=1 In conclusion the product of any nonzero real number and it's reciprocal is always 1.

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.

1/7=7 Superscript -1

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.

Yes, it is."The name of the product of a non-zero number and its reciprocal is 1" is TAUTOLOGY.

The answer depends on whether you mean an additive opposite or a multiplicative opposite.

For numbers with ordinary multiplication defined on them, they are the same.

The product of a number and its reciprocal is one. A reciprocal is, quite simply, the opposite of the number.