CalcCalculatrice de Notation Scientifique
Dernière mise à jour: 2026-05-09
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| Nombre | |
|---|---|
| Caso basico | 493.8 |
| Caso tipico | 864.15 |
| Caso medio | 1234.5 |
| Caso avanzado | 1851.75 |
| Caso extremo | 3086.25 |
Scientific Notation Converter
Scientific notation expresses very large or very small numbers in the form a × 10ⁿ, where 1 ≤ a < 10 and n is an integer. This calculator converts numbers between decimal and scientific notation.
Scientific notation format
Every number in scientific notation has two parts:
- Coefficient (a): a number between 1 and 10 (including 1, excluding 10)
- Exponent (n): an integer indicating the power of 10
For example, 3,500,000 = 3.5 × 10⁶ and 0.00042 = 4.2 × 10⁻⁴.
Example 1: large number to scientific notation
Problem: Convert 6,780,000 to scientific notation.
- Move the decimal point to get a number between 1 and 10:
- 6,780,000 → 6.78 (moved 6 places left).
- Write in scientific notation:
- 6.78 × 10⁶.
Answer: 6,780,000 = 6.78 × 10⁶.
Example 2: small number to scientific notation
Problem: Convert 0.0000567 to scientific notation.
- Move the decimal point to get a number between 1 and 10:
- 0.0000567 → 5.67 (moved 5 places right).
- Write in scientific notation:
- 5.67 × 10⁻⁵.
Answer: 0.0000567 = 5.67 × 10⁻⁵.
Utilisations courantes
- Expressing astronomical distances in physics and astronomy.
- Representing atom and molecule sizes in chemistry.
- Working with very large numbers in computing and statistics.
- Simplifying calculations with extremely large or small numbers.
- Standard format in scientific calculators and engineering software.
- Communicating measurement results with significant figures.
Common mistakes with scientific notation
- Using a coefficient outside the [1, 10) range, e.g. 12.5 × 10³ instead of 1.25 × 10⁴.
- Confusing the exponent sign: moving left gives positive exponent, moving right gives negative.
- Not counting decimal point positions correctly.
- Losing significant figures when rounding the coefficient.
Conseil pro
To verify your conversion, count the zeros: a positive exponent n means the original number has roughly n zeros after the first digit. A negative exponent −n means n zeros after the decimal point before the first significant digit.
This convention guarantees a unique representation for each number, avoiding ambiguities like 3.5 × 10³ and 35 × 10² for the same value.
Multiply the coefficients and add the exponents: (a × 10ⁿ) × (b × 10ᵐ) = (a×b) × 10ⁿ⁺ᵐ. Then adjust if the product exceeds 10.
It is a compact form used in calculators: 3.5E6 means 3.5 × 10⁶. The E replaces "× 10".
Yes. For example, 2.5 × 10⁻³ = 2.5/1000 = 25/10000 = 1/400.