Heading: Finding the multiplicative inverse of 1/32

To find the multiplicative inverse of a number, we need to find a number that, when multiplied by the given number, gives a product of 1. In this case, we need to find the multiplicative inverse of 1/32.

Step 1: Understanding the concept
The concept of a multiplicative inverse is based on the idea that any nonzero number multiplied by its multiplicative inverse results in a product of 1. For example, the multiplicative inverse of 5 is 1/5 because 5 * (1/5) = 1.

Step 2: Calculating the multiplicative inverse of 1/32
To find the multiplicative inverse of 1/32, we need to find a number x such that (1/32) * x = 1.

Let's solve this equation:

(1/32) * x = 1

To get rid of the fraction, we can multiply both sides of the equation by 32:

(1/32) * x * 32 = 1 * 32

Simplifying:

x = 32

Therefore, the multiplicative inverse of 1/32 is 32.

Step 3: Checking the answer
To verify that 32 is indeed the multiplicative inverse of 1/32, we can multiply them together:

(1/32) * 32 = 1

As expected, the product is 1, confirming that 32 is the correct multiplicative inverse of 1/32.

Conclusion
The multiplicative inverse of 1/32 is 32. This means that when we multiply 1/32 by 32, the product is equal to 1.