###### Asked in Algebra

Algebra

# Multiplicative inverse of -3?

## Answer

###### Wiki User

###### September 08, 2012 9:38PM

The multiplicative inverse of -3 is -(1/3) or negative one-third.

The multiplicative inverse of a number is the number that you multiply it by to get a result of 1 (the multiplicative identity). So, since -3 times -(1/3) is 1, -(1/3) is the multiplicative inverse of -3.

Similarly, +3 is the ADDITIVE inverse of -3. The additive inverse of a number is the number you add to it to get a result of 0 (the additive identity). So, since -3 + (+3) = 0, +3 is the additive inverse of -3.

The original answer given here was that the multiplicative inverse of -3 is +3, which is flat incorrect.

## Related Questions

###### 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 Math and Arithmetic, Algebra

### What is the multiplicative inverse of -3-8?

The multiplicative inverse of any number is the number you have
to multiply the original number by in order to get the
multiplicative identity (1).
-3-8 = -11
The multiplicative inverse of -11 is -1/11, since -11 x (-1/11)
= 1.
I am wondering if you meant to write -3/8 instead of -3-8.
If you meant to ask what the multiplicative inverse of -3/8 is,
the answer is -8/3, since
(-3/8) x (-8/3) = 1

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

### What is zero product property?

Multiplicative Inverse of a Number
Reciprocal 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 Number
Reciprocal 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.