1. What is a Reciprocal?

The reciprocal of a number is 1 divided by that number. It's also called the multiplicative inverse because a number multiplied by its reciprocal equals 1.

2. How Does the Calculator Work?

The calculator uses the reciprocal formula:

Where:

• \( x \) — Any non-zero number

Explanation: The reciprocal flips the numerator and denominator of a number expressed as a fraction.

3. Applications of Reciprocals

Details: Reciprocals are used in mathematics for division operations, solving equations, calculating parallel resistances in electronics, and in probability calculations.

4. Using the Calculator

Tips: Enter any non-zero number. The calculator will return its reciprocal value. For fractions, enter them in decimal form first.

5. Frequently Asked Questions (FAQ)

Q1: What is the reciprocal of zero?
A: Zero has no reciprocal because division by zero is undefined.

Q2: What is the reciprocal of a fraction?
A: The reciprocal of a fraction is simply the flipped fraction (e.g., reciprocal of 3/4 is 4/3).

Q3: What's the reciprocal of 1?
A: The reciprocal of 1 is 1, since 1/1 = 1.

Q4: What's the reciprocal of a negative number?
A: The reciprocal maintains the sign (e.g., reciprocal of -2 is -0.5).

Q5: How are reciprocals used in real life?
A: They're used in calculating rates (e.g., speed = distance/time), electrical circuits, and harmonic means in statistics.