Here's a more formal definition:
* For any non-zero number 'a', its reciprocal is 1/a.
Example:
* The reciprocal of 5 is 1/5.
* The reciprocal of 1/2 is 2 (because 1 divided by 1/2 is 2).
Key Points:
* The product of a number and its reciprocal is always 1.
* Zero does not have a reciprocal because you cannot divide by zero.
Why are reciprocals important?
Reciprocals are crucial in many mathematical operations, including:
* Dividing fractions: Dividing by a fraction is the same as multiplying by its reciprocal.
* Solving equations: Reciprocals are used to isolate variables in equations.
* Understanding inverse functions: Reciprocals are closely related to inverse functions.
Let me know if you have any other questions!