Scientific Notation Calculator – Convert to Standard Form
Convert any number to scientific notation instantly. Enter large or small values and get the standard form with mantissa and exponent – perfect for science and engineering calculations.
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Type any number – whether it's extremely large like the distance to stars or tiny like atomic measurements.
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The calculator instantly converts your number to standard scientific notation format.
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Get both the traditional scientific notation (with × 10^) and E-notation formats used in calculators and computers.
Scientific notation is a way to write very large or very small numbers in a compact, standardized form. Instead of writing 0.00000000000000000000000167 grams for a proton's mass, scientists write 1.67 × 10⁻²⁴ grams. Much cleaner.
The format has two parts: the coefficient (also called mantissa) and the exponent. The coefficient is always a number between 1 and 10. The exponent tells you how many places to move the decimal point.
Positive exponents mean large numbers – move the decimal right. 3.5 × 10⁶ equals 3,500,000. Negative exponents mean small numbers – move the decimal left. 2.1 × 10⁻⁴ equals 0.00021.
| Component | Description | Example |
|---|---|---|
| Coefficient | Number between 1 and 10 | In 6.02 × 10²³, coefficient is 6.02 |
| Base | Always 10 | 10 is constant in all scientific notation |
| Exponent | Power of 10 (positive or negative) | In 4.5 × 10⁻⁹, exponent is -9 |
| E-Notation | Compact computer format | 6.02e23 means 6.02 × 10²³ |
| Standard Form | Regular decimal number | 3.0 × 10⁸ = 300,000,000 |
Astronomy
- Distance to Sun: 1.496 × 10⁸ km
- Distance to nearest star: 4.0 × 10¹³ km
- Mass of Earth: 5.97 × 10²⁴ kg
Physics
- Speed of light: 3.0 × 10⁸ m/s
- Electron mass: 9.11 × 10⁻³¹ kg
- Planck's constant: 6.626 × 10⁻³⁴ J·s
Chemistry
- Avogadro's number: 6.022 × 10²³ mol⁻¹
- Atomic radius (hydrogen): 5.3 × 10⁻¹¹ m
- pH of pure water: 1.0 × 10⁻⁷ M H⁺
Biology
- Human cells in body: 3.72 × 10¹³
- DNA base pairs: 3.0 × 10⁹ per cell
- Virus size: 1.0 × 10⁻⁷ m
Standard to Scientific Notation
- Move the decimal point until you have a number between 1 and 10
- Count how many places you moved – this becomes the exponent
- Moved left = positive exponent. Moved right = negative exponent
- Write as coefficient × 10^exponent
Example: 45,000 → 4.5 (moved 4 left) → 4.5 × 10⁴
Scientific to Standard Notation
- Look at the exponent
- Positive exponent: move decimal right, add zeros as needed
- Negative exponent: move decimal left, add zeros as needed
Example: 2.3 × 10⁵ → move 5 right → 230,000
What is scientific notation?
Scientific notation is a standardized way to write very large or very small numbers using powers of 10. It has the form a × 10ⁿ where a is between 1 and 10, and n is an integer. This format makes calculations and comparisons easier.
What is E-notation?
E-notation is a compact version of scientific notation used in calculators and computers. Instead of writing 6.02 × 10²³, you write 6.02e23. The "e" stands for "exponent" and means "times 10 to the power of."
Why use scientific notation?
Scientific notation saves space, reduces errors when writing many zeros, and makes it easy to compare magnitudes at a glance. It's essential in science and engineering where numbers span many orders of magnitude.
Can scientific notation have negative exponents?
Yes. Negative exponents represent numbers smaller than 1. For example, 0.001 equals 1 × 10⁻³. The negative exponent tells you to move the decimal point left instead of right.
What's the difference between scientific and engineering notation?
Scientific notation uses any integer exponent. Engineering notation uses exponents that are multiples of 3 (like 10³, 10⁶, 10⁻⁹), which align with metric prefixes (kilo, mega, nano). Engineering notation's coefficient ranges from 1 to 999.