answersLogoWhite

0

Still curious? Ask our experts.

Chat with our AI personalities

ProfessorProfessor
I will give you the most educated answer.
Chat with Professor
JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin

Add your answer:

Earn +20 pts
Q: Is the multiplicative inverse of any non zero rational number?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math

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.


Does every non-zero number have a multiplicative inverse?

Every non zero number has a multiplicative inverse, which is 1 divided by that number. This stands for both real and complex numbers. This can be proved by letting x=some non zero number. x*(1/x)=x/x=1, therefore the multiplicative inverse of x 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.


Is the only rational number which is equal to it's additive inverse?

Zero.


Which real number does not have a multiplicative inverse and why?

That number is zero. It has no inverse because there is no number that you can multiply by zero to get one; to put this another way; The equation 0x= 1 has no solution, bacause 0x = 0 for all real numbers x.