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Question

What is the meaning of multiplicative identity ? And what is it ?this is not from any byjus videos, this question was in one of my school's maths Olympiad practice worksheet.

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Solution

A multiplicative inverse is a reciprocal. What is a reciprocal? A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. For example, if we have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1!

Example

What is the multiplicative inverse of 15? In other words, which number when multiplied with 15 would give us the number 1 as a result? Let's solve this in an algebraic way, with x being the unknown multiplicative inverse.

15 * x = 1
x = 1/15

That's it! It was really that simple! The multiplicative inverse of a number is that number as the denominator and 1 as the numerator. When we multiply 15 and 1/15, we get 1.


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