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If the multiplicative inverse exists then, by definition, the product is 1 which is rational.

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6y ago
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Anonymous

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3y ago

The product of rational number and it's inverse is

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Q: Is the product of a number and its multiplicative inverse always a rational number?
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Related questions

Is the product of a rational number and its multiplicative inverse always one?

Yes.


What does the term Multiplicative Inverse mean?

it means reciprocal, the number that multiplies by the original number to get a product of 1. The multiplicative inverse is always 1/x; x=5, then the multiplicative inverse is 1/5. If x=1/2 or .5, the multiplicative inverse is 1/.5, which is also 2.


Is the answer for multiplicative inverse properties always 1?

multiplicative inverse of a number 'p' = 1/p


The multiplication inverse of a number is always its?

The multiplicative inverse is also known as the reciprocal. The multiplicative inverse of a number "x" can be expressed as 1/x. In the case of a fraction, exchange numerator and denominator to get the multiplicative inverse.


Is the inverse of a rational number also rational?

Always, unless the original number is zero. This does not have an inverse.


Is the multiplicative inverse of any irrational number always an irrational number?

Yes.


Is the product of two rational numbers irrational?

The product of two rational numbers is always a rational number.


Will the opposite of a number always sometimes or never be greater than the number itself?

Sometimes. Also, when depends on what you mean by "opposite": the additive inverse or the multiplicative inverse.


Is the opposite of a negative number always sometimes or never a negative number?

never a negative number * * * * * ... true if, by opposite, you mean the additive inverse. However, the multplicative inverse is also an opposite. And the multiplicative inverse of a negative number is always negative.


Is the product of two rational number irrational or rational?

It is always rational.


What is the product of rational and irrational number?

The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.


The product of two rational numbers is always rational?

Yes.