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The product of a number and its reciprocal is always one. That's what reciprocal means.

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Q: The product of a number and its reciprocal is always what?
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Related questions

What is the product of a number and its recprocal?

The product of a number and its reciprocal is always 1 - by definition.


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 the product of a fraction and its reciprocal is always equal to?

It is equal to 1, but not always: the reciprocal must be defined for the equality and the reciprocal is not always defined.


Is the product of a nonzero number and its reciprocal is 0?

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.


What is the product of any nonzero real number and its reciprocal?

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.


What is the product of -6 and its reciprocal?

Always 1.


What is the name of the product of a nonzero number and its reciprocal is 1?

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


When the numerator and denominator switch such that the product of a number and its reciprocal is 1?

Unless the first number is zero, then this must ALWAYS be the case.


What is the product 3 4ths and its reciprocal?

The product of any non-zero number and its reciprocal is 1.


What is the answer of product of a number and its reciprocal?

1


What is the product of two numbers that are reciprocals of one another explain why this is always the case?

A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.


What is the product of a trigonometric function and its reciprocal?

The product of any object and its reciprocal is always the identity. In the case of numbers, 1 (one).