Scientific Notation Calculator

Use our Scientific Notation Calculator to convert numbers between decimal form and scientific or engineering notation. Whether you’re simplifying large numbers or dealing with very small decimal values, this tool offers quick and accurate conversions along with detailed formula explanations.

What is Scientific Notation?

Scientific notation is a way to express very large or very small numbers using powers of ten. It simplifies complex numbers into a format like:

N × 10^e

Where:

• N is a number between 1 and 10 (the coefficient)
• e is an integer (the exponent)

Example: 6,700,000 becomes 6.7 × 10⁶

What is Engineering Notation?

Engineering notation is a variant of scientific notation where the exponent is always a multiple of 3. It’s commonly used in engineering, electronics, and physics:

N × 10³ⁿ (where n is any integer)

Example: 0.00045 becomes 450 × 10⁻⁶ or 4.5 × 10⁻⁴ in scientific notation.

How to Use the Scientific Notation Calculator

1. Choose your desired mode: Scientific or Engineering
2. Enter a decimal number to convert to notation
3. Or enter a number in notation (e.g. 2.5e8) to convert back to decimal
4. Click the Print/Export button to save results

Formulas Used

• Scientific Notation: Decimal = N × 10^e
• Reverse: N = Decimal ÷ 10^e
• Engineering Notation: Adjust exponent to nearest multiple of 3

Example Conversions

Decimal Number	Scientific Notation	Engineering Notation
1,200,000	1.2 × 106	1.2 × 106
0.000047	4.7 × 10−5	47 × 10−6

Frequently Asked Questions

❓ What is E notation?

E notation is shorthand for scientific notation, where “E” represents “×10^”. For example, 2.5e6 means 2.5 × 10⁶.

❓ What’s the difference between scientific and engineering notation?

Scientific notation uses any integer exponent. Engineering notation restricts the exponent to multiples of 3 for easier readability in technical fields.

❓ Can I use this calculator for negative numbers or decimals?

Yes! The calculator works with positive, negative, and decimal numbers in both directions.

❓ Can I export the results?

Yes. Use the Print / Export button to save or print your calculation results.

Who Should Use This?

• ✅ Students learning exponential notation
• ✅ Scientists analyzing data at extreme scales
• ✅ Engineers working with micro/macro units
• ✅ Teachers and academic institutions

Why Use Our Calculator?

This calculator is designed for ease of use, clarity, and accuracy. It features unit toggles, reverse calculation, live animation effects, and the option to print or export your results.

Start converting your numbers now using the simple or advanced version above!