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

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15y ago

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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 -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 a product of a number and its reciprocal?

The product of a number and its reciprocal is always equal to 1, provided the number is not zero. For any non-zero number ( x ), its reciprocal is ( \frac{1}{x} ), and when multiplied together, ( x \times \frac{1}{x} = 1 ). This property holds true for all non-zero real numbers.


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).