School calculator
Scientific Notation Calculator
Convert to scientific notation and do math with steps.
Quick answer
How do you write a number in scientific notation?
Move the decimal point until only one non-zero digit is left of it, then count the moves. Moving left gives a positive exponent, moving right gives a negative one. So 45,000 = 4.5 × 10^4 and 0.00072 = 7.2 × 10^-4.
A number in scientific notation is a × 10^n, where 1 ≤ |a| < 10 and n is an integer. Multiply: add exponents. Divide: subtract exponents.
⚡ Answer updates as you type · Enter = calculate · Esc = reset
- Start with 45000.
- Move the decimal point 4 places to the left to get 4.5 (a number from 1 up to 10).
- Moving left makes the exponent positive: 4.
- Answer: 4.5 × 10^4.
Convert any number to scientific notation (or back to standard form), and add, subtract, multiply, or divide numbers in scientific notation with step-by-step work.
About this Scientific Notation Calculator
The Scientific Notation Calculator converts any number into scientific notation (a × 10^n) and back into standard form, and adds, subtracts, multiplies, or divides numbers written in scientific notation. Every answer shows how far the decimal point moves, perfect for chemistry, physics, and math homework.
What you'll need
- • Mode: convert a number or do math
- • A number in standard form, e-notation (6.02e23), or a × 10^n
- • Operation (+, −, ×, ÷) and a second number for math mode
How it works
- 1. Pick convert or math mode.
- 2. Type your number(s) in any format.
- 3. The calculator moves the decimal point and counts places.
- 4. Read the answer in scientific, standard, and e-notation.
- 5. Follow the steps to check your homework.
Worked example
(3.2 × 10^5) × (2 × 10^3): multiply 3.2 × 2 = 6.4 and add the exponents 5 + 3 = 8, giving 6.4 × 10^8 = 640,000,000.
Related searches
Scientific Notation Calculator FAQ
What is the Scientific Notation Calculator?
The Scientific Notation Calculator is a free online tool that helps you convert to scientific notation and do math with steps.
How do I use the Scientific Notation Calculator?
Open the Scientific Notation Calculator, enter the requested values, and review the instant estimate on the page.
Is the Scientific Notation Calculator free?
Yes. The Scientific Notation Calculator is free to use on Fast Online Calculator and does not require an account.
What is 0.0005 in scientific notation?
0.0005 = 5 × 10^-4, because the decimal point moves 4 places to the right to get 5.
How do you multiply numbers in scientific notation?
Multiply the front numbers and add the exponents, then adjust so the front number is between 1 and 10. (4 × 10^3) × (5 × 10^2) = 20 × 10^5 = 2 × 10^6.
How do you divide numbers in scientific notation?
Divide the front numbers and subtract the exponents. (8 × 10^6) ÷ (2 × 10^2) = 4 × 10^4.
What does e mean on a calculator, like 6.02e23?
E-notation is a short way to write scientific notation: 6.02e23 means 6.02 × 10^23.
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