to subtract an integer, add its opposite or additive inverse.
A number and its additive inverse add up to zero. If a number has no sign, add a "-" in front of it to get its additive inverse. The additive inverse of 5 is -5. The additive inverse of x is -x. If a number has a minus sign, take it away to get its additive inverse. The additive inverse of -10 is 10. The additive inverse of -y is y.
Subtracting an integer is the same as adding the additive inverse. In symbols: a - b = a + (-b), where "-b" is the additive inverse (the opposite) of b.
The additive inverse of -34 is the number you need to add to -34 to get 0 i.e. 34.
Zero
to subtract an integer, add its opposite or additive inverse.
A number and its additive inverse add up to zero. If a number has no sign, add a "-" in front of it to get its additive inverse. The additive inverse of 5 is -5. The additive inverse of x is -x. If a number has a minus sign, take it away to get its additive inverse. The additive inverse of -10 is 10. The additive inverse of -y is y.
Subtracting an integer is the same as adding the additive inverse. In symbols: a - b = a + (-b), where "-b" is the additive inverse (the opposite) of b.
Integers that add to zero (like 3 and -3 or 5 and -5) are called additive inverses. The general formula for an additive inverse is x + (-x) = 0, where x and (-x) are additive inverses.
Two numbers, which when added together result in zero, are called each other's additive inverse. That is, for two given numbers x and y, if x + y = 0, then y is the additive inverse of x and x is the additive inverse of y.
The additive inverse of -34 is the number you need to add to -34 to get 0 i.e. 34.
Zero
To find the additive inverse of ANY number, add a minus sign. (If the number already has a minus sign, take the minus sign away to get the additive inverse.)
The additive inverse of any negative number is the same number with the minus sign removed. In this instance, the additive inverse of -84 is 84.
The additive inverse of 8 is -8. In general, if you have a number, n, the additive inverse is -n because n+(-n)=0. So in this case 8+ (-8)=0.This is useful in solving equations where we add the additive inverse to both sides of the equation.
We will answers the two questions:1. What is the additive inverse of -72. 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!
NO. Certainly not. Additive inverse and Multiplicative inverse doesn't exist for many elements.