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Scientific Notation Calculator

Convert any number to scientific notation or back. Also perform arithmetic operations (multiply, divide, add, subtract) on numbers in scientific notation.

Enter Number or Scientific Notation
Mode
Number (any size)
N
Your Result

Fill in the details and
your result appears here.

Result
Scientific Notation
E-notation
Full Number
Magnitude
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Did You Know?
Avogadro's number in scientific notation
6.022×10^23 — the number of particles in one mole. Written out: 602,200,000,000,000,000,000,000. Scientific notation exists because writing and computing with numbers this large or small (like the charge of an electron, 1.6×10^-19 C) would be impossible otherwise.

How to use this calculator

1

Choose mode

Convert: turn any number into scientific notation. Calculate: multiply/divide/add/subtract numbers already in scientific notation.

2

Enter your number

Any size works — from 0.000001 to 999999999999999. Paste from anywhere.

3

Read all three forms

Standard notation (×10^), E-notation (used in computers), and the full number.

The formula explained

Scientific Notation: N = a × 10^b where 1 ≤ |a| < 10

To convert: move the decimal point until the number is between 1 and 10. The number of places moved is the exponent (positive for large numbers, negative for small).

Multiply: (a × 10^m) × (b × 10^n) = (a×b) × 10^(m+n)
Divide: (a × 10^m) ÷ (b × 10^n) = (a÷b) × 10^(m−n)

Frequently Asked Questions

What is scientific notation?

A way to express very large or very small numbers as a coefficient (1–10) multiplied by a power of 10. The speed of light: 299,792,458 m/s = 2.998×10^8. Planck's constant: 6.626×10^-34 J·s.

How do I convert 0.000045 to scientific notation?

Move the decimal right until you get a number between 1 and 10: 4.5. You moved it 5 places right, so the exponent is −5. Answer: 4.5×10^-5.

What is E-notation?

Computer shorthand for scientific notation. 3×10^8 is written as 3e8. 2.5×10^-12 is 2.5e-12. Common in calculators, spreadsheets, and programming languages.

How do you multiply in scientific notation?

Multiply the coefficients and add the exponents. (3×10^4) × (2×10^3) = 6×10^7. Then adjust if the coefficient is ≥ 10 or < 1.

How do I convert scientific notation to standard form?

Multiply the coefficient by 10 raised to the exponent. For 3.2 × 10⁴: move the decimal 4 places right to get 32,000. For 5.6 × 10⁻³: move left 3 places to get 0.0056.

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