What is the reciprocal of 13?
Understand the Problem
The question is asking for the reciprocal of the number 13. The reciprocal of a number is calculated by taking 1 divided by that number. In this case, we will find 1/13.
Answer
The reciprocal of 13 is $\frac{1}{13}$ or approximately 0.0769.
Answer for screen readers
The reciprocal of 13 is $\frac{1}{13}$ or approximately 0.0769.
Steps to Solve
- Identify the reciprocal formula
The reciprocal of a number $x$ is defined as $\frac{1}{x}$. In this case, we need to find the reciprocal of 13.
- Calculate the reciprocal
Using the formula, substitute 13 into the reciprocal formula:
$$ \text{Reciprocal of } 13 = \frac{1}{13} $$
Now we can express the result as a decimal or keep it in fraction form.
- Express the result
The reciprocal can be approximately calculated as:
$$ \frac{1}{13} \approx 0.076923 $$
This shows the decimal representation of the reciprocal.
The reciprocal of 13 is $\frac{1}{13}$ or approximately 0.0769.
More Information
The reciprocal is widely used in various areas of mathematics, including fractions, ratios, and solving equations. Knowing how to find the reciprocal is essential for operations such as division and involves understanding inverse relationships.
Tips
- A common mistake is to confuse the reciprocal with the negative. Remember that the reciprocal is simply $1$ divided by the number, not its negative.