Calculate the Multiplicative Inverse: Finding 1/3

Question

What is the inverse of 3?

Video Solution

Solution Steps

00:00 Find what is the reciprocal number of 3
00:03 We will use the formula to find a reciprocal number
00:06 Any number multiplied by its reciprocal always equals 1
00:09 We'll substitute 3 in the unknown according to the given
00:12 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to find the inverse of the number 3. In mathematics, the term "inverse" in this context refers to the multiplicative inverse. The multiplicative inverse or reciprocal of a number is defined as a number which, when multiplied by the original number, gives a product of 1.

Given the number 3, its reciprocal is calculated by dividing 1 by the number:

Reciprocal of 3=13 \text{Reciprocal of 3} = \frac{1}{3}

This means that the multiplicative inverse of 3 is 13\frac{1}{3}.

Therefore, the solution to the problem is 13 \frac{1}{3} .

Answer

13 \frac{1}{3}