###### Asked in Math and ArithmeticAlgebra

Math and Arithmetic

Algebra

# What is the additive inverse of 0?

## Answer

###### Wiki User

###### October 19, 2009 9:00PM

Zero!

## Related Questions

###### Asked in School Subjects, Math and Arithmetic, Algebra

### When a number is added to its additive inverse what is the sum equal to?

Number + additive inverse of number = 0, by definition (the
additive inverse of a number is that number, which when added to
the original number, results in a sum of 0) Number + additive
inverse of number = 0, by definition (the additive inverse of a
number is that number, which when added to the original number,
results in a sum of 0)

###### Asked in Math and Arithmetic, Algebra, The Difference Between

### What is the difference between additive and multiplicative inverse?

The additive inverse is the inverse under addition; the
multiplicative inverse is the inverse under multiplication. For
example, the additive inverse of any real or complex number is its
negative: the inverse of 3 is -3 and vice versa. The multiplicative
inverse of a number other than 0 (which has no such inverse) is its
reciprocal: the inverse of 2 is 1/2, and vice versa. Adding a
number and its additive inverse gives the additive identity, 0.
Multiplying a number by its multiplicative inverse gives the
multiplicative identity, 1.

###### Asked in Synonyms and Antonyms

### What is the opposite of nine?

The number (-9) is the additive inverse of 9.
Inverse operations can also be used to find the additive inverse
of a specific number. For example, -9 is the additive inverse of 9
since the sum of -9 and 9 is 0. Additive inverses come in pairs; 9
is the additive inverse of -9, just as -9 is the additive inverse
of 9. Any two numbers are additive inverses if they add up to
0.
Visualize a pair of additive inverses on the number line. The
number 9 and its additive inverse -9 are both nine units away from
0 but on opposite sides of 0. For this reason, -9 is called the
opposite of 9, and 9 is the opposite of -9. The opposite of a
number may be positive or negative.