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

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


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.


What is the multiplicative inverse of 16?

The multiplicative inverse of a number is the reciprocal of that number. In this case, the multiplicative inverse of 16 is 1/16. This is because when you multiply a number by its multiplicative inverse, the result is always 1.


What is the multiplicative inverse of zero?

The multiplicative inverse of a number ( x ) is defined as a number ( y ) such that ( x \times y = 1 ). Since zero multiplied by any number always equals zero, there is no number that can serve as a multiplicative inverse for zero. Therefore, the multiplicative inverse of zero is undefined.


Is the inverse of a rational number also rational?

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


What is the multiplicative inverse of 4 plus i?

The multiplicative inverse of a complex number is the reciprocal of that number. To find the multiplicative inverse of 4 + i, we first need to find the conjugate of 4 + i, which is 4 - i. The product of a complex number and its conjugate is always a real number. Therefore, the multiplicative inverse of 4 + i is (4 - i) / ((4 + i)(4 - i)) = (4 - i) / (16 + 1) = (4 - i) / 17.


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

Yes.


What is the multiplicative inverse of 0.8?

1/0.8 = 1.25


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.