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Input styles: 1.2e5, 1.2 * 10^5, 120000
Scientific Notation Calculator
Use this scientific notation calculator online to calculate, convert, compare, and format numbers written in scientific notation, E notation, engineering notation, or standard decimal form.
Scientific notation calculator with stepsScientific, E, and engineering outputStandard-form and real-number conversion
Scientific Notation Calculator
Scientific Notation Calculator results
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Converter Tool
Need to convert one number instead?
Open the Scientific Notation Converter when you want to rewrite a single value without running addition, subtraction, multiplication, or division.
Open ConverterWhat is a Scientific Notation Calculator?
A scientific notation calculator lets you enter very large or very small values, perform arithmetic, and read the result in scientific notation, E notation, engineering notation, and decimal form from one screen.
Example Calculations
These examples show how the calculator handles standard numbers, scientific notation, and E notation without forcing manual conversion first.
Standard Notation
Standard notation uses ordinary decimals such as 122500 + 3655. The calculator can rewrite the answer as 1.26155 x 10^5 and as the decimal 126155.
Scientific Notation
Scientific notation writes a significand multiplied by a power of 10. This makes large and small values easier to read, compare, and calculate.
E Notation
E notation replaces x 10^n with the letter e. It is useful for software fields, calculators, and quick typed input.
Note: Doing Math With Significant Figures
Significant figures describe reported precision. Turn auto-calculate on when both inputs are measured values and off when an exact constant is involved.
Additional Resources
This page covers the main calculator intents: solve, convert, compare, divide, multiply, and review significant figures in one workflow.
The content is organized around direct user intent: what scientific notation is, how the calculator works, how to convert notation, and how precision affects the result.
How to Use Scientific Notation Calculator
Step 1:
Enter one or two values in decimal form, scientific notation, or E notation. The calculator reads the significand and exponent before the operation starts.
Step 2:
Choose addition, subtraction, multiplication, or division, then calculate. The tool returns scientific notation, E notation, engineering notation, decimal output, and the significant-figure count.
Examples
Common examples include 0.001, 369000, 741, 0.0000725, 1.225 x 10^5 + 3.655 x 10^3, and 1.225e5 + 3.655e3.
Popular Problems
Popular problems include standard-form conversion, negative exponents, scientific notation comparison, multiplication, division, and significant-figure checks.
Scientific Notation Rules
These rules cover input, conversion, arithmetic, comparison, and significant figures without overlapping the same task.
How to use scientific notation calculator
Enter values in decimal, scientific notation, or E notation, choose the operation, and read the formatted answer.
| Input style | Rule | Example | Result |
|---|---|---|---|
| Standard decimal | Enter the full number directly | 369000 | 3.69 x 10^5 |
| E notation | Use e for powers of ten | 6.022e23 | 6.022 x 10^23 |
Scientific notation calculator to standard form
Move the decimal right for a positive exponent and left for a negative exponent to get the ordinary decimal value.
| Direction | Rule | Example | Result |
|---|---|---|---|
| Positive exponent | Move the decimal right | 4.2 x 10^3 | 4200 |
| Negative exponent | Move the decimal left | 7.25 x 10^-5 | 0.0000725 |
Scientific notation calculator with e
E notation keeps the same value while replacing x 10^n with e n for easier typed input.
| Format | Rule | Example | Result |
|---|---|---|---|
| Scientific to E | Replace x 10^n with e n | 1.26155 x 10^5 | 1.26155e5 |
| E to scientific | Replace e n with x 10^n | 3.655e3 | 3.655 x 10^3 |
Scientific notation calculator multiplication and division
Multiply coefficients and add exponents, or divide coefficients and subtract exponents.
| Operation | Rule | Example | Result |
|---|---|---|---|
| Multiply | Multiply coefficients and add exponents | (2 x 10^3)(4 x 10^2) | 8 x 10^5 |
| Divide | Divide coefficients and subtract exponents | (8 x 10^5) / (2 x 10^2) | 4 x 10^3 |
Scientific notation comparison
Compare exponents first. If they match, compare the significands.
| Comparison step | Rule | Example | Larger value |
|---|---|---|---|
| Different exponents | The greater exponent wins | 4.1 x 10^7 vs 9.8 x 10^6 | 4.1 x 10^7 |
| Same exponent | Compare significands | 5.2 x 10^4 vs 4.9 x 10^4 | 5.2 x 10^4 |
Scientific notation calculator with sig figs
Significant figures are counted from the significand, not from the exponent.
| Value | Rule | Example | Sig figs |
|---|---|---|---|
| Trailing zero after decimal | Counts as significant | 4.70 x 10^3 | 3 |
| Exponent | Does not change sig figs | 6.2 x 10^-8 | 2 |
Scientific notation calculator with negative exponents
Negative exponents represent values below 1 and are common when converting small decimals.
| Case | Rule | Example | Result |
|---|---|---|---|
| Decimal to scientific | Move right and use a negative exponent | 0.001 | 1 x 10^-3 |
| Scientific to decimal | Move left by the exponent count | 6.3 x 10^-4 | 0.00063 |
Precision Mechanics
How each answer is prepared
Parse input
Apply operation
Normalize result
Format outputs
The calculator reads decimal values, E notation, and * 10^ expressions, applies the selected operation, normalizes the result, and returns scientific notation, engineering notation, and decimal output in one consistent flow.
Accepted Formats
Type values naturally
| Style | Example |
|---|---|
| Scientific e | 6.022e23 |
| Power of ten | 1.22 * 10^5 |
| Unicode multiply | 3.4 x 10^-2 |
| Plain decimal | 0.00056 |
Reference Library
Common scientific constants
| Constant Name | Symbol | Notation Value | Unit |
|---|---|---|---|
| Speed of Light | c | 2.9979 x 10^8 | m/s |
| Gravitational Constant | G | 6.6743 x 10^-11 | m^3 kg^-1 s^-2 |
| Avogadro's Number | N_A | 6.0221 x 10^23 | mol^-1 |
FAQ