Multiplicative inverse means

Dear student,
The multiplicative inverse of a number say, N is represented by 1/N or N^-1. The meaning of inverse is something which is opposite. The reciprocal of a number obtained is such that when it is multiplied with the original number the value equals to identity 1. In other words, it is a method of dividing a number by its own to generate identity 1, such as N/N = 1.

examples;
multiplicative inverse of 3 is 1/3, of -1/3 is -3, of 8 is 1/8 and of 4/7 is -7/4. But the multiplicative inverse of 0 is infinite, because of   1/0 = infinity. So, there is no reciprocal for a number ‘0’. Whereas the multiplication inverse of 1 is 1 only.

Regards

  • 2
DEAR STUDENT,
HERE IS THE ANSWER
The word meaning of 'inverse' is something opposite in effect. So, the multiplicative inverse of a number is a number that nullifies the impact of the number to identity 1. Thus the multiplicative inverse of a number is a number by which the multiplication results in 1.
REGARDS
AKUL KUMAR
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Dear student,
Multiplicative inverse which is also known as reciprocal, means the inverted form of a fraction.
For example-
1) The multiplicative inverse of 2/6 is = 6/2
2) The multiplicative inverse of 3/1 is = 1/3

This is multiplicative inverse. THE FRACTION IS JUST INVERTED.

Thank you,
M.Kannya
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If a and b are two rational numbers such that a?b=1, then each is called the reciprocal or multiplicative of the other.
Note:: Multiplicative inverse of zero does not exist
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