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Does every integer have a multiplicative inverse?
No, it does not.
Why doesn't every real number have a multiplicative inverse?
The only real (or complex) number which does not have a multiplicative inverse is 0. There is nothing you can multiply by 0 to get 1.
Does every integer have an additive inverse?
Yes.
Does every integer have an opposite?
An additive opposite, yes. A multiplicative one, no.
What an multiplicative inverse property and real number?
For every real number, x, which is not zero, there exists a real number x' such that x * x' = x' * x = 1, the multiplicative identity.
Does every nonzero fraction has a multiplicative inverse?
Yes
Does every integer have a multiplicative inverse?
No, it does not.
Does every square matrix have an inverse?
No. A square matrix has an inverse if and only if its determinant is nonzero.
Why doesn't every real number have a multiplicative inverse?
The only real (or complex) number which does not have a multiplicative inverse is 0. There is nothing you can multiply by 0 to get 1.
What is the multiplication inverse of 8?
The multiplicative inverse is when you multiply a certain number, and the product is itself, the number. So, the multiplicative inverse of 8 is of course, 1. For every number, the multiplicative number is 1, because a certain number times 1 is equal to the certain number. It's simple!!
Does every integer have an additive inverse?
Yes.
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.
Does every integer have an opposite?
An additive opposite, yes. A multiplicative one, no.
A multiplicative inverse of 5 module 7 is?
A multiplicative inverse of 5 mod7 would be a number n ( not a unique one) such that 5n=1Let's look at the possible numbers5x1=5mode 75x2=10=3 mod 75x3=15=1 mod 7 THAT WILL DO IT3 is the multiplicative inverse of 5 mod 7.What about the others? 5x4=20, that is -1 mod 7 or 65x5=25 which is 4 mod 75x6=30 which is -5 or 2 mod 7How did we know it existed? Because 7 is a prime. For every prime number p and positive integer n, there exists a finite field with pn elements. This is an important theorem in abstract algebra. Since it is a field, it must have a multiplicative inverse. So the numbers mod 7 make up a field and hence have a multiplicative inverse.
What is the absolute value of every nonzero integer?
Positive
What an multiplicative inverse property and real number?
For every real number, x, which is not zero, there exists a real number x' such that x * x' = x' * x = 1, the multiplicative identity.
What property says that for every number other than 0 its reciprocal is the one number by which it can be multiplied to get 1?
Multiplicative inverse.
