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 InverseTo 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.
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How to find the Multiplicative train station of a FractionThe 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 NumberThe 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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