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Q: Is the multiplicative inverse of zero exist?
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What is the multiplication inverse of any number?

The multiplicative inverse of a number is : 1/number i.e., one divided by the number. This doesn't apply to zero. Zero has no multiplicative inverse.


How do you multiplicative an inverse when its a whole number?

The multiplicative inverse of any non-zero integer, N is 1/N.


Why the multipicative inverse of zero does not exist?

To find the multiplicative inverse, you would have to solve the equation 0 times x = 1. Since any number times 0 is zero, this equation has no solution.


What does the mathematical term ''Multiplicative Inverse'' mean?

The multiplicative inverse of a number (other than zero) is the number such that the product of the two is 1. Thus, the multiplicative inverse of x is 1/x.


Why Is the product of a fraction and its multiplicative inverse 1?

The statement is true only for non-zero fractions and it follows from the definition of a multiplicative inverse.


Does the set of rational numbers have a multiplicative inverse?

Yes, and for any non-zero rational x, the multiplicative inverse is 1/x.


What is zero product property?

Multiplicative Inverse of a NumberReciprocal The reciprocal of x is . In other words, a reciprocal is a fraction flipped upside down. Multiplicative inverse means the same thing as reciprocal. For example, the multiplicative inverse (reciprocal) of 12 is and the multiplicative inverse (reciprocal) of is . Note: The product of a number and its multiplicative inverse is 1. Observe that ·= 1. Multiplicative Inverse of a NumberReciprocal The reciprocal of x is . In other words, a reciprocal is a fraction flipped upside down. Multiplicative inverse means the same thing as reciprocal. For example, the multiplicative inverse (reciprocal) of 12 is and the multiplicative inverse (reciprocal) of is . Note: The product of a number and its multiplicative inverse is 1. Observe that ·= 1.


What is the mulitplicative inverse of -6?

The multiplicative inverse of a number is any number that will multiply by it to make zero. Here, the multiplicative inverse of -6 is -(1/6), or negative one sixth.


What is multiplicative inverse of 0?

There is no multiplicative inverse of 0. By definition, when you multiply a number by its multiplicative inverse, the product is 1. However, when you multiply 0 by anything, the product is 0. Those two statements could not logically co-exist if there were any multiplicative inverse of 0, so there is no such thing.


What is the mutiplicative inverse?

The multiplicative inverse of any non-zero number x, is the number y such that x*y = 1 = y*x. y may also be written as 1/x. Multiplicative inverses also exist for non-singular matrices.


What are the elements in rational numbers having multiplicative inverse?

All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.


Is the multiplicative inverse of any non zero rational number?

yes