Add, subtract, multiply, and divide numbers in scientific notation, and get results in scientific, E, and decimal notation in one click.
How to Use This Calculator
- Enter the coefficient and exponent for your first number (e.g., 3.2 × 10⁴)
- Select your operation: add, subtract, multiply, or divide
- Enter the coefficient and exponent for your second number
- Hit Calculate and get your result instantly in all three notation formats
- Use Reset to clear the fields and start a new calculation
Scientific Notation Operations
Each operation in scientific notation follows its own rule. Here’s the short version of each, with a quick example.
Addition
To add numbers in scientific notation, first convert both numbers to the same power of ten, then add the coefficients. Example: (3.2 × 10⁴) + (5.1 × 10⁴) = 8.3 × 10⁴
Subtraction
To subtract numbers in scientific notation, match the exponents first, then subtract the coefficients. Example: (7.5 × 10⁶) − (2.1 × 10⁶) = 5.4 × 10⁶
Multiplication
To multiply numbers in scientific notation, multiply the coefficients and add the exponents. Example: (3.0 × 10⁸) × (2.5 × 10³) = 7.5 × 10¹¹
Division
To divide numbers in scientific notation, divide the coefficients and subtract the exponents. Example: (8.0 × 10⁹) ÷ (2.0 × 10³) = 4.0 × 10⁶
Worked Example
Let’s say you want to multiply 3.0 × 10⁸ (the speed of light in m/s) by 2.5 × 10³.
- Enter 3.0 and 8 for the first number
- Select ×
- Enter 2.5 and 3 for the second number
- Hit Calculate
Result: Scientific Notation: 7.5 × 10¹¹ E Notation: 7.5E+11 Decimal Notation: 750,000,000,000
Who Is This Calculator For?
This tool is built for anyone working with very large or very small numbers:
- Students solving physics, chemistry, or astronomy problems
- Engineers working with measurements across scales
- Scientists handling data in research and lab reports
- Teachers demonstrating notation conversions in class
Whether you’re checking homework or verifying a calculation on the job, this calculator gives you accurate results across all three notation formats, fast.
Guide
- What Is Scientific Notation? A Beginner’s Guide
- Why Scientific Notation Uses Base-10
- What Is the Difference Between Standard Form and Scientific Notation?
- Decimal Notation vs Scientific Notation: Key Differences
- Normalized Scientific Notation Explained: Definition, Rules, and Why It Matters
- Mantissa and Exponent: Meaning and Role in Scientific Notation
- Why the 1 ≤ a < 10 Rule Exists in Scientific Notation (Explained Clearly)
- Positive vs Negative Exponents in Scientific Notation: Meaning, Differences, and Examples