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We will answers the two questions:
1. What is the additive inverse of -7

2. What's an additive identity.

The additive inverse of a number is the number you have to add to the number in order to get 0. (Or more generically speaking, to get the additive identity element of the group or field.) So the additive inverse of -7 is +7. For any real number a, the additive inverse is -a. If z is a complex number, a+bi, then the additive inverse is (-a-bi) since (a+bi)+(-a-bi)=0.

The case becomes a little more interesting in fields other than the real or the complex numbers. The integers mod p, where p is a prime, form a finite field. So if we look at integers mod 7, the additive inverse of 5, for example, would be 2 since 5+2=7 which is congruent to 0 in this field.



The additive identity in the field of real or complex numbers is 0.
"Additive identity" means the number you can add to any other number in order to get the same number back. Since -7 + 0 = -7, the additive identity of -7 is 0.

In the case of a+bi where i^2=-1, the additive identity is still 0. If it helps you to think of it as 0+0i, that is fine. In the finite field of integers mod p, where p is a prime, we have p as the additive identity. For example, 2 mod 7 is just 2, and if we add 7 it is 9 but that is still 2 mod 7.

All of these ideas can be extended to fields of invertible matrices and many other exciting algebraic structures!

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Q: What's the additive inverse of -7?
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Related questions

What is a additive inverse?

In mathematics, the additive inverse of a numberais the number that, when addedtoa, yields zero. The additive inverse of 7 is -7.


What is the opposite of -7?

7. The opposite of 7 is -7, so the opposite of -7 is 7.


What is that additive inverse of 7?

-7


What is the additive inverse of -7?

7


How do you turn 5 and 3-7ths into a multiplicative and a additive inverse?

38/7 x 7/38 = 1 = multiplicative inverse 38/7 + -38/7 = 0 = additive inverse


What is the property shown in -7 plus 7 equals 0?

Additive inverse of a number a is that number which on addition with a gives 0.7 is additive inverse of -7.The property shown is additive inverse property because the addition yields 0.


Which real number contains additive inverses for all its elements?

The question is confusing. The additive inverse of a real number is the same number with the sign changed. For example, the additive inverse of -5 is +5 (or simply 5); the additive inverse of 7 (which is the same as +7) is -7.


Is 7 plus 1 equals 8 a additive inverse property?

No.. if you write 7/2 as -7/2, then that's additive inverse property.


What is the inverse of -7 plus 5?

It depends on whether you mean additive inverse or multiplicative inverse.


What is the additive inverse for -n2-7?

-5


What is the sum of any number and its opposite?

I assume you mean the additive inverse. The sum of any number and its additive inverse is zero. For example, 7 + (-7) = 0.


Find the additive inverse of 5 on the 12 hour clock?

It is 7 since 5+7 = 12 which is equivalent to 0 on the clock.