Calculate the Multiplicative Inverse: Finding 1/3

What is the inverse of 3?

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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

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1

Understand the problem

What is the inverse of 3?

2

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} .

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Final Answer

13 \frac{1}{3}

Practice Quiz

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What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

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