Scientific Notation Calculator
Convert a decimal number to normalized scientific and E notation.
Result
Scientific notation: 4.56 × 10^-4
Non-zero coefficients are normalized between 1 and 10 in magnitude.
- E notation
- 4.56e-4
- Coefficient
- 4.56
- Exponent
- -4
- Order of magnitude
- 10^-4
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How to use the Scientific Notation Calculator
- Enter a finite decimal number, including zero or a negative value.
- Read normalized scientific notation and the equivalent E notation.
- Use the coefficient and exponent rows to inspect the two parts separately.
A coefficient and a power of ten
Move the decimal until one non-zero digit remains before it. The number of places moved becomes the exponent:
value = coefficient × 10^exponent1 ≤ |coefficient| < 10 for non-zero valuesPositive exponents describe values of magnitude ten or more; negative exponents describe values below one. E notation carries the same information without superscript formatting.
With your numbers
- Move the decimal in 0.000456 until the coefficient has one non-zero digit before it.
- Coefficient = 4.56; exponent = -4.
Quick reference
Non-zero coefficients are normalized between 1 and 10 in magnitude.
| Example | Scientific notation |
|---|---|
| Small decimal | 4.56 × 10^-4 |
| Large whole number | 1.23456 × 10^5 |
| Number between one and ten | 4.2 × 10^0 |
| Negative number | -9.87 × 10^4 |
| Zero | 0 × 10^0 |
| One millionth | 1 × 10^-6 |
Common questions about the Scientific Notation Calculator
- What makes scientific notation normalized?
- For a non-zero value, the coefficient has magnitude at least 1 and less than 10.
- What does a negative exponent mean?
- It moves the decimal point to the left and represents a number whose magnitude is below 1.
- What is E notation?
- It is a keyboard-friendly form. For example, 4.56e-4 means 4.56 multiplied by 10 to the power of minus 4.
- How is zero represented?
- This calculator displays zero as 0 times 10 to the power of 0. Zero is a special case because it has no unique order of magnitude.