Scientific Notation Calculator Online Free
Scientific Notation Calculator
Scientific Notation Converter
Enter any number in standard, E-notation, or scientific notation format
How to Use
Notation Converter
- Enter any number in standard format (e.g., 1568938)
- Or use E-notation format (e.g., 2.3e11)
- Or use scientific notation format (e.g., 3.5x10^-12)
- Instantly see conversions to all notation formats
Scientific Calculator
- Enter X and Y values as mantissa × 10^exponent
- Set precision for result accuracy
- Click any operation button to calculate
- Results shown in multiple notation formats
💡 Quick Tips
- Scientific notation expresses numbers as a × 10^b where 1 ≤ |a| < 10
- Engineering notation uses exponents that are multiples of 3
- E-notation is commonly used in programming (e.g., 1.23e7)
- Perfect for calculations with very large or very small numbers
Scientific notation expresses very large or very small numbers as a coefficient (1-10) times a power of 10. This calculator converts between standard notation and scientific notation, and performs arithmetic operations (add, subtract, multiply, divide) on numbers in scientific notation.
Converting to Scientific Notation
To write a number in scientific notation, move the decimal point until the number is between 1 and 10. The number of places moved becomes the exponent of 10 (positive if moved left, negative if moved right).
Standard to scientific: 4,500,000 → 4.5 × 10⁶ (moved decimal 6 left) 0.000023 → 2.3 × 10⁻⁵ (moved decimal 5 right) Scientific to standard: 3.7 × 10⁴ → 37,000 6.2 × 10⁻³ → 0.0062
Arithmetic in Scientific Notation
Multiplication and division are easy in scientific notation: multiply/divide the coefficients and add/subtract the exponents. Addition and subtraction require the same exponent first (adjust one number to match the other's power of 10).
Multiply: (3 × 10⁴) × (2 × 10³) = 6 × 10⁷ Divide: (6 × 10⁸) / (2 × 10³) = 3 × 10⁵ Add/Subtract: (3 × 10⁴) + (5 × 10³) = (3 × 10⁴) + (0.5 × 10⁴) = 3.5 × 10⁴
Frequently Asked Questions
Why is scientific notation useful?⌄
Scientific notation makes very large or small numbers manageable. The diameter of a hydrogen atom is 0.0000000001 m. In scientific notation: 1 × 10⁻¹⁰ m. The distance from Earth to the Sun is 150,000,000,000 m = 1.5 × 10¹¹ m. It also makes the order of magnitude immediately visible and arithmetic operations simpler.
What is the difference between scientific notation and engineering notation?⌄
Scientific notation uses any exponent (..10⁻³, 10⁻², 10⁻¹, 10⁰, 10¹...). Engineering notation restricts exponents to multiples of 3 (...10⁻³, 10⁰, 10³, 10⁶...) to align with metric prefixes (milli, kilo, mega). For example: 4,700 ohms would be 4.7 × 10³ Ω in scientific notation or 4.7 × 10³ (kΩ = kiloohms) in engineering notation.
What does E notation mean (like 3.5E7)?⌄
E notation (used in calculators and programming) means "× 10 to the power of." 3.5E7 = 3.5 × 10⁷ = 35,000,000. 2.1E-4 = 2.1 × 10⁻⁴ = 0.00021. The "E" stands for "exponent" and is a shorthand for scientific notation that is easy to type on a keyboard.
How do I add numbers in scientific notation with different exponents?⌄
Convert one number to match the other's exponent. Usually convert to the larger exponent. (5.2 × 10⁶) + (3.0 × 10⁵) = (5.2 × 10⁶) + (0.30 × 10⁶) = 5.50 × 10⁶. The coefficient 3.0 × 10⁵ becomes 0.30 × 10⁶ by shifting the decimal right one place and increasing the exponent by 1.