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The multiplicative inverse of a number is also called its __

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The multiplicative inverse of a number is also called its __

The multiplicative inverse of a number is also called its __

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ScarlettMaster · Tutor for 5 years

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The multiplicative inverse of a number, also known as its reciprocal, is a number which, when multiplied by the original number, yields the product of 1. The concept of the multiplicative inverse is fundamental in mathematics, especially in operations involving fractions, algebra, and various equations. To explain this concept with clarity:- If you have a non-zero number \(a\), its multiplicative inverse is \(\frac{1}{a}\) or \(a^{-1}\).- When you multiply \(a\) by its multiplicative inverse, the result is 1. Mathematically, it is shown as \(a \times \frac{1}{a} = 1\).For instance, if we consider the number 5, its multiplicative inverse is \(\frac{1}{5}\) because \(5 \times \frac{1}{5} = 1\). Similarly, for a fraction like \(\frac{2}{3}\), its multiplicative inverse is \(\frac{3}{2}\), since multiplying the fraction by its inverse gives \(\frac{2}{3} \times \frac{3}{2} = 1\).**Accurate Answer Highlight:**The multiplicative inverse of a number is its reciprocal, which when multiplied by the original number, results in 1.
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