1. What is Scientific Notation?

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is commonly used in scientific and engineering calculations.

2. How Does the Calculator Work?

The calculator converts scientific notation to standard form:

Where:

• \( a \) — Mantissa (1 ≤ a < 10)
• \( b \) — Exponent (integer)

Explanation: The mantissa must be between 1 (inclusive) and 10 (exclusive), and the exponent must be an integer.

3. Importance of Scientific Notation

Details: Scientific notation allows for easier representation of very large or very small numbers, simplifies calculations, and clearly indicates significant figures.

4. Using the Calculator

Tips: Enter the mantissa (a value between 1 and 10) and an integer exponent. The calculator will convert it to standard decimal notation.

5. Frequently Asked Questions (FAQ)

Q1: Why use scientific notation?
A: It simplifies working with extremely large or small numbers and makes it easier to compare magnitudes.

Q2: What are common examples of scientific notation?
A: Avogadro's number (6.022×10²³), Planck's constant (6.626×10⁻³⁴ J·s), etc.

Q3: How do I convert standard form to scientific notation?
A: Move the decimal point until you have a number between 1 and 10, count the moves as the exponent.

Q4: What's the difference between scientific and engineering notation?
A: Engineering notation uses exponents that are multiples of 3, while scientific notation can use any integer exponent.

Q5: Can I enter negative exponents?
A: Yes, negative exponents represent numbers between 0 and 1.