Questions: What is the multiplicative inverse of 1/100?

Transcript text: What is the multiplicative inverse of $\frac{1}{100}$?

Solution

Solution Steps

To find the multiplicative inverse of a number, we need to determine the number that, when multiplied by the original number, results in 1. For a fraction like $\frac{1}{100}$, the multiplicative inverse is simply the reciprocal of the fraction.

Step 1: Identify the Problem

We need to find the multiplicative inverse of $\frac{1}{100}$.

Step 2: Understand the Multiplicative Inverse

The multiplicative inverse of a number $x$ is a number $y$ such that $x \cdot y = 1$.

Step 3: Calculate the Inverse

For the fraction $\frac{1}{100}$, the multiplicative inverse is its reciprocal. Therefore, the inverse is: \[ \frac{1}{\left(\frac{1}{100}\right)} = 100 \]

Final Answer

The multiplicative inverse of $\frac{1}{100}$ is $\boxed{100}$.

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