Define multiplicative inverse. Give an example of a numberand its multiplicative inverse. 

The **multiplicative inverse** (also known as the **reciprocal**) of a number is another number which, when multiplied with the original number, results in **1**. In other words, for a number \( a \), its multiplicative inverse is a number \( b \) such that:

\[
a \times b = 1
\]

The multiplicative inverse of a non-zero number \( a \) is denoted as \( \frac{1}{a} \).

### Example:
For the number \( 5 \), its multiplicative inverse is \( \frac{1}{5} \), because:

\[
5 \times \frac{1}{5} = 1
\]

Similarly, the multiplicative inverse of \( \frac{3}{4} \) is \( \frac{4}{3} \), because:

\[
\frac{3}{4} \times \frac{4}{3} = 1
\]

Note: The number 0 does not have a multiplicative inverse because no number multiplied by 0 can result in 1.

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### Related Questions:
1. What is the multiplicative inverse of a negative number, like \( -7 \)?
2. How do you find the multiplicative inverse of a fraction?
3. What is the difference between additive and multiplicative inverses?
4. How does the concept of a multiplicative inverse apply to matrices?
5. Why doesn't zero have a multiplicative inverse?

### Tip:
The product of a number and its multiplicative inverse is always **1**, regardless of whether the number is positive, negative, or a fraction.

Define multiplicative inverse. Give an example of a number and its multiplicative inverse.

Learn about the multiplicative inverse (reciprocal) of a number. This explanation covers the definition, key formula, and examples like finding the reciprocal of 5 and fractions such as 3/4. Perfect for students in Grades 6-8.

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