The multiplicative inverse of a number is what you multiply it by to make 1.For a fraction, the multiplicative station is the fraction flipped.This is referred to as the reciprocal of the fraction.We can see the 3/5 × 5/3 = 15/15.15/15 = 1 due to the fact that 15 ÷ 15 = 1.

You are watching: Multiplicative inverse of a negative number   ## What is the Multiplicative Inverse?

The multiplicative station of a number is what you multiply it through to do 1. Because that example, the multiplicative train station of 2 is 1/2 since 2 × 1/2 = 1. ## How to uncover the Multiplicative Inverse

To uncover the multiplicative station of a number, compose its reciprocal. For a fraction, this means switching the numerator and denominator. For a whole number, the multiplicative train station is 1 over this number. Because that example, the multiplicative train station of 2/3 is 3/2 and the multiplicative train station of 3 is 1/3.The multiplicative station of a number is the value that we multiply it by come make an answer of 1. Once we main point a number through its multiplicative inverse, the answer must be same to 1.To uncover the reciprocal of a fraction, switch the molecule on height with the denominator ~ above the bottom. The portion will it is in upside down.For example, the reciprocal of 2/3 is 3/2. Here room some instances of finding the multiplicative inverse.NumberMultiplicative Inverse
21/2
101/10
1/33
3/44/3
5/22/5
-4–1/4
–1/6-6
–3/7–7/3
11
0No Multiplicative Inverse

## How to find the Multiplicative train station of a Fraction

The multiplicative inverse of a fraction is that is reciprocal. This method that the numerator and denominator values space switched. The multiplicative station of the fraction a/b is b/a. For example, the multiplicative station of 5/7 is 7/5. It go not issue how large the molecule or denominator of a fraction is. The multiplicative station of the fraction is merely the reciprocal of the fraction. Switch the numerator and also the denominator.For example, the multiplicative station of 9/2 is 2/9.We deserve to see an example of finding the multiplicative station of a unit fraction below. One 5th of 5 is 1.The multiplicative train station of 2 is 1/2 since one half of 2 is 1. The multiplicative station of 7 is 1/7. This is due to the fact that 7 × 1/7 = 1. ## Multiplicative inverse of a negative Number

The multiplicative station of a an unfavorable number is likewise negative. This is because the 2 negatives need to cancel out once multiplied to do 1. For example, the multiplicative inverse of –2/5 is –5/2 since –2/5 × –5/2 = 1.The multiplicative train station of a number is the value we main point it by to make an answer of 1.For a fraction, the multiplicative train station is merely the reciprical of the fraction. Below is an example of a an unfavorable fraction.The multiplicative train station of 3 is 1/3. This is since one third of 3 is 1.The multiplicative inverse of -3 is –1/3. This is due to the fact that a an unfavorable number need to be multiply by another an adverse number to make a optimistic answer.

## What is the Multiplicative inverse of 1?

The multiplicative train station of a number is the value you multiply it by to make solution of 1. Due to the fact that 1 × 1 = 1, the multiplicative train station of 1 is 1 itself.The only number that 1 deserve to be multiply by come make response of 1 is 1.1 is the multiplicative station of 1.1 have the right to be written as a fraction as 1/1. To uncover the mutual of this fraction, us flip the so that the molecule becomes the denominator and vice versa.The mutual of 1/1 is 1/1, which is the same as 1.The reciprocal of 1 is 1.

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## What is the Multiplicative inverse of Zero?

There is no multiplicative train station of zero. This is since there is no number the zero have the right to be multiply by to make 1. Zero is the only number that does not have a multiplicative inverse.