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

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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.


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?

To find the multiplicative inverse of a complex number z = (a + bi), divide its complex conjugate z* = (a - bi) by z* multiplied by z (and simplify): z = 4 + i z* = 4 - i multiplicative inverse of z: z* / (z*z) = (4 - i) / ((4 - i)(4 + i) = (4 - i) / (16 + 1) = (4- i) / 17 = 1/17 (4 - i)


What is the multiplicative inverse of 0.8?

1/0.8 = 1.25


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

Yes.


How do you solve multiplicative inverse in algebra 2?

To solve for the multiplicative inverse of a number in Algebra 2, you simply take the reciprocal of that number. For a non-zero number ( a ), its multiplicative inverse is ( \frac{1}{a} ), since multiplying ( a ) by its inverse yields 1 (i.e., ( a \times \frac{1}{a} = 1 )). This concept is crucial when solving equations that involve fractions or when factoring expressions. Always remember that the multiplicative inverse is not defined for zero.


Is the product of two rational numbers irrational?

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