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

The **multiplicative inverse** of a number, also known as its **reciprocal**, is a number that, when multiplied by the original number, results in 1. For a non-zero number \( a \), the multiplicative inverse is represented as \( \frac{1}{a} \). Mathematically, the relationship can be expressed as:

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

### Example:
Consider the number 5. Its multiplicative inverse is \( \frac{1}{5} \), because:

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

### Another Example (with a fraction):
For a fraction like \( \frac{3}{4} \), the multiplicative inverse would be \( \frac{4}{3} \), since:

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

Would you like more examples or further explanation on the concept of multiplicative inverses?

### Related Questions:
1. What is the multiplicative inverse of \( -7 \)?
2. How does the multiplicative inverse relate to division?
3. Can zero have a multiplicative inverse? Why or why not?
4. What is the multiplicative inverse of \( 0.2 \)?
5. How is the multiplicative inverse used in solving equations?

### Tip:
To find the multiplicative inverse of a fraction, simply swap the numerator and denominator.

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

Explore the concept of multiplicative inverses, also known as reciprocals, with examples including whole numbers and fractions. Learn how multiplying a number by its inverse results in 1, a key concept in algebra for students in Grades 6-8.

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